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Schumann’s B-A-C-H Fugues: the genesis of the “Character-Fugue”

Colin MacKnight

Colin MacKnight is a C. V. Starr Doctoral Fellow at The Juilliard School, New York City, where he also received his bachelor’s and master’s degrees. He is in the studio of Paul Jacobs and is working on his dissertation entitled “Ex Uno Plures: A Proposed Completion of Bach’s Art of Fugue.” He currently serves as associate organist and choirmaster at the Cathedral of the Incarnation in Garden City, Long Island.

A frequent competition prizewinner, MacKnight holds the Fellow and Choirmaster certificates from the American Guild of Organists (having won the prize for top score for the latter) and is a member of The Diapason’s “20 Under 30” Class of 2019. Upcoming performance highlights include recitals in Ingelheim, Germany; Kingston, Jamaica; and at Saint Matthew’s Cathedral in Washington, DC. Colin MacKnight is represented in North America by Karen McFarlane Artists, Inc. For more information, media, and a calendar of performances, visit colinmacknight.com.

Robert Schumann

“Miss no opportunity to practice on the organ; there is no instrument that takes such immediate revenge on the impure and the careless, in composition as well as in the playing, as the organ.”1 This description from Schumann was likely referring to the organ’s ability to execute—one might even say affinity for—complex counterpoint. It is only fitting then that his only organ work would be a set of six fugues on Johann Sebastian Bach’s surname, a homage to music’s greatest contrapuntist, one of Schumann’s principal influences, and the composer who dominates the organ repertoire to a degree that no other composer dominates any other repertoire. Schumann stated, “What art owes to Bach is to the musical world hardly less than what a religion owes to its founder.”2 He also acknowledged the influence that Bach exerted on his own music; Schumann’s compositional style was unusually motivic, and he attributed his disdain for what he called “lyric simplicity” to his study of Bach and Beethoven.3

In German musical parlance, B is B-flat and H is B-natural, allowing one to turn Bach’s surname into the motive B-flat, A, C, B-natural. By composing a set of fugues based on the theme
B-A-C-H, Schumann was participating in a long tradition of composing pieces (particularly for the organ) that include the B-A-C-H motive.

This tradition began with Johann Sebastian Bach himself and continues to the present. Two notable examples of Bach encrypting his own name occur in the Toccata in F Major for organ, BWV 540i (in transposition), and Contrapuncti 8, 11, and 14 of Die Kunst der Fuga, BWV 1080. Felix Mendelssohn was the next composer of a substantial body of organ music to encrypt the B-A-C-H motive into one of his pieces. In measure 56 of the first movement of his Sonata IV in B-flat from the Six Organ Sonatas, op. 65, he prominently includes the B-A-C-H motive in the pedal, transposed down a whole-tone (Example 1).

Schumann was close friends with Mendelssohn and even wrote a glowing review of the organ sonatas in his journal, Neue Zeitschrift für Musik, so Mendelssohn’s encryption may not have been unnoticed by him. Perhaps it is not coincidence that Schumann composed his set in 1845—the year in which Mendelssohn’s organ sonatas were published.4 In addition to Mendelssohn’s organ sonatas, Mendelssohn’s Six Preludes and Fugues for Piano, op. 35, and Three Preludes and Fugues for Organ, op. 37, were almost certainly strong influences on Schumann’s B-A-C-H fugues.5

Schumann was, however, the first composer to write a large work based on this theme. This proved to be influential; other composers who would later write substantial organ works based on B-A-C-H include Franz Liszt (Prelude and Fugue on the Name B-A-C-H, S. 260, versions of which exist for piano and organ), Sigfrid Karg-Elert (Passacaglia and Fugue on B-A-C-H, op.150), Max Reger (Fantasy and Fugue on the Name B-A-C-H, op. 46), Ernst Pepping (Three Fugues on B-A-C-H), etc. Schumann’s set is the longest of these works.

The year 1845 is often called Schumann’s contrapuntal year because of his and Clara Schumann’s intense study of counterpoint, resulting in such compositions as the Six Studies in Canonic Form, op. 56, and Four Sketches, op. 58, both for pedal-piano; Six Fugues on B-A-C-H for organ, op. 60; and Four Fugues for piano, op. 72.6 During this year of “Fugenpassion,”7 to use Schumann’s own term, they studied Friedrich Wilhelm Marpurg’s Treatise on the Fugue and Luigi Cherubini’s A Course of Counterpoint and Fugue.8 Schumann also studied counterpoint intensely from 1831 to 1832 under Heinrich Dorn and from 1836 to 1838, a period which yielded more contrapuntally complex and rich works such as Kreisleriana.9

Schumann finished the first fugue on April 7 and the second on April 18.10 Soon after the second fugue was completed, a rented pedal-piano arrived at the Schumann house.11 This would have been a useful tool for composing the Sketches, Canonic Studies, and Fugues, but, surprisingly, this is also around the time Schumann began to eschew the use of the piano as a compositional tool.12 Perhaps, then, the pedal-piano was mainly used to assist in pedal-writing.

After the second fugue, progress on the set slowed for a variety of reasons including illness, work on the latter movements of the Piano Concerto in A Minor, op. 54, and organization of an orchestral concert series in Dresden.13 By the end of September, Schumann had drafted the third, fourth, and fifth fugues14 and in late November, Schumann completed the set.15 The influence of the B-A-C-H project can also be seen on his next opus, Symphony No. 2 in C Major; the second trio of the scherzo uses a theme beginning with the B-A-C-H motive, and the adagio contains a fugato (Example 2).16

Schumann’s set of six fugues is in many ways similar to and likely inspired by Bach’s The Art of the Fugue since both are thorough explorations of the contrapuntal potential of one musical idea. Schumann was, however, somewhat disdainful of The Art of the Fugue for being excessively cerebral.17 Part of this is probably due to what Schumann may have perceived as a lack of variety in The Art of the Fugue. Since The Art of the Fugue is based on a single subject and the Schumann B-A-C-H fugues are only based on a motive, Schumann has considerably more flexibility in his thematic material. (Interestingly, this is not unlike Bach’s use of the B-A-C-H motive in The Art of the Fugue. In Contrapunctus 8, the motive is masked with repeated notes and inversion; in Contrapunctus 11, he un-inverts it but retains the repeated notes. It is not until Contrapunctus 14 that Bach plainly reveals the motive, a technique of which Schumann surely would have been proud.)

Schumann, like Bach, derives several distinct fugue subjects from the B-A-C-H motive. The first, third, and sixth fugues, for example, all plainly feature the motive as the main substance of the subject. The fifth fugue, however, treats it just as the starting point for further elaboration. The fourth fugue also uses the motive overtly but changes its contour by leaping down a sixth from A to C, instead of up a third. By modifying and developing the theme, Schumann reveals and incorporates one of his favorite compositional genres: the character piece. John Daverio describes this important difference between fugues and character pieces by saying, “If the essence of a fugue is a fixed subject, then that of the character piece is the transformation of an eloquent motive.”18 By combining elements of these two genres, Schumann is not just taking a neo-baroque diversion but is “updating” the fugal form to include the most modern musical trends.

Each of Schumann’s fugues also has specific tempo and dynamic indications to contrast the movements. The work is framed by two large accelerando, crescendo fugues; the second fugue is a virtuosic allegro; the third, serene and lyrical; the fourth, a more austere study; and the fifth, a charming scherzo. In this way, the work is not just a compilation of fugues but also a suite of complementary movements. Schumann also provides tonal variety by including G minor and F major movements into an overarching B-flat major—something The Art of the Fugue does not do despite its much greater length. Additionally, there is greater variety of texture in Schumann’s set than The Art of the Fugue. Schumann is not averse to devolving to homophony as he does in all but the third fugue. He also frequently composed in what looks like a “lazy” five-voice texture by writing five-voice expositions but not maintaining a strict five-voice texture (until the last fugue). This is, however, more likely another attempt at textural variety than contrapuntal ineptitude on Schumann’s part; by moving the bass line between the pedal and left hand, he is varying the sound and texture even while maintaining the same number of voices.

As previously stated, the first fugue is an accelerando, crescendo fugue. The quintessential example of this, and likely inspiration for Schumann, is the first movement of Mendelssohn’s Sonata No. 3 in A Major from his Six Organ Sonatas, op. 65. Schumann’s subject comprises two bars, the first of which is the B-A-C-H motive plainly stated, and the second of which includes the B-A-C-H motive in retrograde in its first, second, fifth, and sixth pitches (Example 3). At the point at which Schumann indicates to begin crescendoing and accelerating, he combines the B-A-C-H motive (or a variant thereof) in the pedal with a two-voice stretto of the diminished form of the subject in the manuals (Example 4).

The piece builds to a very exciting homophonic climax, particularly when the performer has accelerated enough (Simon Preston starts at 92 beats per minute and comes close to doubling the tempo, reaching 168 beats per minute at the fastest), with double-pedal before a five-bar coda that returns to a polyphonic texture, although without the B-A-C-H subject. Because of the lower register and reduction in texture, it is not uncommon to decrescendo through the coda, even though this is not indicated in the score.

The second fugue is the allegro movement and the most unabashedly virtuosic. It is also the only fugue in a triple meter, a trait of which Schumann takes full advantage through the use of hemiola. Its subject begins with a quick dotted B-A-C-H before beginning a sequence that is almost certainly taken from the fugue from Bach’s Toccata and Fugue in D Minor for organ, BWV 565. Schumann would have known this work from Mendelssohn’s famous Bach recital at the Thomaskirche in Leipzig, which he enthusiastically reviewed in his Neue Zeitschrift für Musik (Examples 5 and 6).19

In measure 48, Schumann combines the subject with its augmentation in the pedal. Then in measure 74, there is a rest for performer and listener alike when Schumann quietly strettos the augmented B-A-C-H motive with occasional interruptions from the BWV 565 motive. (These fragments of the BWV 565 motive make the connection to Bach’s fugue even more obvious.) This motive gradually takes over the texture while crescendoing until the piece devolves into a virtuosic toccata, complete with double-pedal, arpeggios, octave doublings, and no hint of B-A-C-H. He then briefly alludes to the quiet B-A-C-H stretto passage again—this time with neighbor-tones on the B-flat—before a passage of triumphant homophony. There is one more fugal interruption before the chorale-style writing returns and a hemiola passage with sforzando chords every two beats. The movement ends with a coda over a B-flat pedal that continues to use the BWV 565 motive while eschewing the B-A-C-H motive, a final confirmation of this fugue’s inspiration.

The third fugue is the only one that is entirely quiet; there is a piano indication at the beginning with the description “Mit sanften Stimmen”—with gentle stops—and no further performance instructions. This is the only fugue that begins in two voices with the counter-subject present from the beginning. It is also the simplest and technically easiest fugue. The B-A-C-H theme only occurs in one form, and the emphasis is on lyricism rather than intellect or virtuosity. It is also the only fugue in a minor key, G minor, but ending in a tranquil G major.

The fourth fugue is the most austere and perhaps the least accessible of the set. This is clear from the outset when Schumann uses a jagged version of the B-A-C-H motive; instead of an ascending minor third between A and C, he writes a descending major sixth, meaning the subject outlines a pungent diminished octave. This is one of Schumann’s cleverest techniques: to utilize the B-A-C-H motive as a collection of pitch classes with no specific contour rather than a traditional theme with a set shape.   

Schumann further adds to the complexity and austerity of this movement by introducing the retrograde of B-A-C-H for the first time and immediately combining it with the subject’s normal form. The retrograde form of the subject almost always has staccato markings on the first and third notes to draw attention to itself, retrograde being among the more obscure contrapuntal techniques (Example 7).

This movement continues to use retrograde pervasively and eventually transitions into loud chordal writing with flashy pedal scales. Like the second fugue, it alternates between passages of strict counterpoint and homophony. The passagework and homophony bring what was an ascetic contrapuntal exercise—perhaps worthy of Schumann’s own questionable criticism of The Art of the Fugue—to a dramatic and exciting close. The climax in measures 96 to 99 is particularly thrilling and one of the highlights of the whole work, as if to apologize for the trials through which he has just put the listener.

As an additional conciliatory gesture, Schumann placed his charming scherzo-fugue next. The presence of a scherzo—an unusual template for a fugue—in this set is further proof that Schumann conceived this set as a suite of complementary pieces and not just miscellaneous movements based on the same theme. The fifth fugue is the only movement in F major and the shortest of the set. This movement’s subject begins with a fleeting B-A-C-H that sounds almost like a perfunctory after-thought—or pre-thought. It is a refreshing relief after the previous four movements which all employ the B-A-C-H motive so plainly.

Nevertheless, the scherzo is still a contrapuntal tour de force. It includes augmentation, inversion, retrograde, and retrograde augmentation, and combines the augmented form of the subject with the original form and the augmented retrograde form with the plain retrograde, an astonishing amount of artifice for a movement of less than three minutes. The technique, however, never hinders the charm. This fugue demonstrates well Schumann’s outlook on fugal composition: “Anyway, this will always be the best fugue the public for instance regards as a waltz by Strauss—in other words, where the artificial rootage is covered like the roots of a flower so that we can see just the flower.” For Schumann, artifice and contrapuntal ingenuity were always subservient to beauty and emotion.20

The sixth and final fugue, the longest of the set, is another accelerando, crescendo fugue. It is also the only double fugue in the set, giving it more in common with the first movement of Mendelssohn’s Sonata No. 3 in A Major, op. 65, which, as previously mentioned, is also a crescendo, accelerando, double fugue. The three-bar subject begins with the B-A-C-H motive and ends with a short descending scale that is the source of the second subject. The first section also prominently features a five-note motive as a counter-subject, beginning in measure 16. This motive, intentionally or not, sounds like a quotation of the main motive in Bach’s chorale prelude on Valet will ich dir geben, BWV 736. The descending scale that closes the first subject becomes the second subject in measure 58 and begins a new section that is marked Lebhafter and più forte. This section does not use the B-A-C-H motive but instead develops the second subject, including stretto and inversion, and uses the same five-note countersubject.

In measure 95, Schumann finally combines the subjects and countersubject signaling the third and final part of this fugue, the only instance of strict five-part counterpoint in the entire set (Example 8).

The strict counterpoint continues until measure 116 when Schumann switches to grand, fortissimo, chorale writing with a few quasi-contrapuntal interruptions. The homophonic texture allows him to compose abrupt and distant modulations that are unusual in strict fugal textures: most notably, the modulation to G major in measure 139 and back to B-flat in measure 142. As in the second fugue, Schumann eventually eschews the B-A-C-H motive (after measure 144 in the sixth fugue), choosing instead to close the entire work not with either of the subjects but with the counter-subject.

As previously mentioned, Schumann “updates” the fugal form by incorporating elements of the character piece, which he does by developing and transforming the B-A-C-H motive. By examining the different transformations of B-A-C-H, as well as other motives, one can see certain relationships between movements beyond the obvious thematic unity of a monothematic work. Specifically, the movements can be organized into three related pairs: movements one and four, two and three, and five and six.

The first fugue is related to the fourth by merit of the fact that it utilizes a countersubject, itself derived from the B-A-C-H motive, which prominently features leaps of sixths, the same interval that is so characteristic of the fourth fugue’s subject (Example 9). 

While this relationship by itself may seem somewhat tenuous, Schumann retroactively confirms it with what is probably the most shocking harmony of this fugue: the false ending at measure 60, in which an F dominant-seventh chord resolves to a secondary-dominant ninth of the subdominant. What sounds like a dramatic change in register is actually the jagged contour of the fourth fugue’s subject in the soprano! The soprano and tenor lines also continue to prominently feature leaps of sixths through the coda of this movement (Example 10).

The second and third fugues are also connected by an allusion in the second fugue to the third fugue’s subject. In measure 48 of fugue two, the B-A-C-H motive appears in the pedal in augmentation with three extra notes that together with B-A-C-H will form the third fugue’s subject (Examples 11 and 12).

Just like in the first fugue, the relationship between fugues two and three may seem weak, but Schumann once again confirms it by developing the tail of the third fugue subject in the tenor and bass voices later in the second fugue (measure 135) (Example 13).

The connection between the fifth and sixth fugues is perhaps the most obvious. The fugue subject of fugue five has a five-note figure that occurs in the second (C, B-flat, A, B-flat, C) and third (G, F, E, F, G) measures of the subject (Example 14).

Schumann later inverts this theme, so it also occurs in an up-down shape. The inverted form of this motive (the aforementioned quotation of Valet will ich dir geben, BWV 736) then becomes the countersubject to the final fugue and is combined with both of the last fugue’s subjects. It is introduced in the first exposition in measure 16 and is combined with both subjects in measure 95 (see Example 8).

On the surface, nothing could have been more conservative in nineteenth-century music than a set of six fugues for organ. Further examination reveals, however, how progressive Schumann’s B-A-C-H fugues were. They were likely the first set of pieces to be based entirely on Bach’s name, they constitute a complementary “suite” of fugues—not just a collection of movements—and there are connections and developments between the movements that foreshadow Brahms’s developing variation. Schumann himself wrote, “I worked on this set for the whole of last year in order to make it somewhat worthy of the exalted name it bears; [it is] a work that will, I believe, long outlive my other works.”21 His prediction that his reputation would be based largely on these fugues did not prove to be accurate, but it was surely right of him to hold them in such high regard.

Notes

1. Helga Scholz-Michelitsch, “Robert Schumann and the Organ,” trans. Susanne Weber, The Franz Schmidt Organ Competition, http://orgelwettbewerb.kitz.net/Franz-Schmidt-OrganCompetition/Robert_Schumann.html

2. Eric Frederick Jensen, Schumann (New York: Oxford University Press, 2001), 145.

3. Ibid., 145–146. 

4. Scholz-Michelitsch, “Robert Schumann and the Organ.”

5. John Daverio, Robert Schumann: Herald of a “New Poetic Age” (New York: Oxford University Press, 1997), 308.

6. Daverio, Robert Schumann, 306.

7. Ibid., 307. 

8. Scholz-Michelitsch, “Robert Schumann and the Organ.”

9. Daverio, Robert Schumann, 306.

10. Ibid., 307.

11. Ibid.

12. Jensen, Schumann. 284.

13. Daverio, Robert Schumann, 307.

14. Ibid.

15. Ibid., 308.

16. Jensen, Schumann, 289.

17. Ibid. 144.

18. Daverio, Robert Schumann, 309.

19. Scholz-Michelitsch, “Robert Schumann and the Organ.”

20. Ibid.

21. Daverio, Robert Schumann, 308.

Bibliography

Daverio, John. Robert Schumann: Herald of a “New Poetic Age.” New York: Oxford University Press, 1997.

Jensen, Eric Frederick. Schumann. New York: Oxford University Press, 2001.

Scholz-Michelitsch, Helga. “Robert Schumann and the Organ.” Translated by Susanne Weber. The Franz Schmidt Organ Competition. http://orgelwettbewerb.kitz.net/Franz-Schmidt-OrganCompetition/Robert_Schumann.html.

Related Content

On Teaching: The Art of the Fugue, part 3

Gavin Black

Gavin Black, director of the Princeton Early Keyboard Center, Princeton, New Jersey, is preparing performances on Bach’s The Art of the Fugue on both harpsichord and organ for the next two concert seasons.

Fugue subject

The Art of the Fugue, part III

This month’s installment picks up exactly where last month’s left off.

Notes on the Individual Movements

Contrapunctus 1 is a four-voice fugue on the original and simplest form of The Art of the Fugue theme (Example 1). There is no regular countersubject. The mood is forthright and powerful, but with underlying calm.

Contrapunctus 2 is a four-voice fugue on the same theme, except that the last notes are changed from eighth notes to dotted eighths and sixteenths (Example 2). This dotted rhythm pervades the piece. The sounds jump rather than flow from one beat to the next. The effect is, at least intermittently, unsettling. The dotted rhythms convey a suggestion of French musical style, though the piece is not fully worked out in that style.

Contrapunctus 3 is a four-voice fugue on the inversion of the original theme (Example 3). The piece moves slowly and gently, and the mood is quiet. The subject is accompanied (after the first entrance) by a chromatic countersubject loosely derived from the subject itself (Example 4). This countersubject also provides a short motive (Example 5) on which two episodes are based. This motive will return later in the work. In measure 23 the subject enters in a new form: with passing tones (Example 6). Although it is abandoned in the next movement this will become the most important form of the theme later on.

Contrapunctus 4 is also a four-voice fugue based on the inversion of the main theme (see Example 3). The theme is accompanied by a short chromatic motive, more explicitly dissonant than that of Contrapunctus 3 (Example 7). The movement is also characterized, however, by long episodes of almost exaggerated consonance. These are based mainly on a simple two-note descending third (which can be heard as a reference to the thirds in the original, non-inverted theme, although that theme is not explicitly present in this movement) and a four-note stepwise fourth, both ascending and descending, which is derived from the last four notes of the main theme, in both its inverted and non-inverted forms. There are several lushly beautiful internal cadences, almost hypnotic in their effect. The last measures conceal a single reference to the B-A-C-H motive.

Contrapunctus 5 opens with a statement of the inverted theme with passing tones, introduced in Contrapunctus 3. Before the end of the theme, this is joined by the non-inverted theme with passing tones in the bass (Example 8). This overlapping of themes, called “stretto” by theorists of fugue writing, is by no means characteristic of the opening of a fugue. Nor is it characteristic for the second subject entry to be an inversion rather than a transposition of the first. This is a gesture of union of the two essential forms of the main theme. They are the opposite of each other, but they can be joined together. In measure 53, an even closer union is suggested with a four-voice stretto at the interval of one quarter note. The inverted and non-inverted themes, however, are treated to this process separately (measured 53–57 and 65–69)! The mood of Contrapunctus 5 is alternately urgent and dreamy, or perhaps both at once. In the last measures of the movement the two versions of the theme are heard simultaneously, somewhat concealed by an unexpected six-voice texture.

Contrapunctus 6 is marked in Stile Francese. Thus it realizes the suggestion made by Contrapunctus 2. It is not easy to define what the “French style” is. For the purposes of this piece, however, it is enough to recognize that it involves the use of dotted rhythms, very fast short runs, and moderately fast longer runs. It also aims to create a feeling of power and grandeur in the context of rather static (non-flowing) rhythm. Native French pieces in this style would never have been fugues, so Bach was doing something new. This piece, like the last, opens with a stretto, at the interval of only one measure. The impatient quality of the second voice, created by its insistence on coming in early, is here intensified by the fact that is comes in “too fast,” that is, in diminution. The very rapid four-note runs, heard from measure 7 on, are a standard characteristic of the French style, but they can also be seen as a double diminution of the last four notes of the main theme.

Contrapunctus 7 is a fugue on the main theme with passing tones, sometimes inverted and sometimes in diminution. To this is added the theme in augmentation (Example 9) that is heard first in the bass and once in each voice. Almost every note in this contrapunctus is derived directly from the theme, by augmentation, diminution, or double diminution. The effect is one of extreme concentration and intensity, but also of rather jovial power and good humor.

Contrapunctus 8 opens with a short fugue exposition on a brand new theme, not derived in any way from what has come before (Example 10, but see under Contrapunctus 18, below). After several short episodes and a cadence in the tonic, a second exposition begins, based on the same theme and another brand new theme (Example 11), simultaneously. These two themes work themselves out with increasing intensity and exuberance, until they are joined in a somewhat hidden manner, that is, in an inner voice, by a new version of the main theme (Example 12). The intensity and exuberance, the latter quality created mainly by the almost exaggerated repetitions of the second theme (Example 11), continue to the end.

Contrapunctus 9 is a fugue on a new subject (Example 13) that is loosely derived from the main theme. Whereas Contrapunctus 8 opened with a descending whole-step (see Example 10), this movement opens with an upward leap of an octave. This is a contrast to Contrapuncti 1–7, all of which opened with the interval D–A or A–D. Contrapunctus 9 is a lively, flowing piece in which exuberance, though present, is restrained. The main theme enters in augmentation in the soprano voice in measure 35 and is heard several times thereafter.

Contrapunctus 10 opens with a fugue exposition on a subject (Example 14) whose rhythmic and melodic peculiarities create more of a sense of expectation than of fulfillment. The expectation is met with the entry of the main theme in the soprano voice in measure 23. What follows is a fugue on this subject, in which Example 14 serves as a countersubject. So many new motives are introduced, developed briefly, and then abandoned, that the movement becomes a celebration of fecundity (or perhaps of profligacy!). The countersubject (Example 15) that appears in measures 22–26, and does not appear again in this movement, will supply the subject of the second section of Contrapunctus 18 (see below).

Contrapunctus 11 is the centerpiece of The Art of the Fugue. It is probably the most complex contrapuntal creation of J. S. Bach, as well as one of the most deeply and powerfully expressive. It is a contrapuntal fantasy making significant use of at least ten different themes and including five fully worked out fugue expositions. It is related to what has come before and what will come after in more ways than it is possible to describe. All of the thematic material is taken from earlier contrapuncti, mostly from Contrapunctus 8, but also at least from 3 and 10. The richness of thematic material is reminiscent of 10, while the compactness with which it is used is reminiscent of 7. The sectional construction is reminiscent of 5 and 8. The compellingly powerful cadences suggest number 4. The most powerful of these cadences is followed by the introduction of the B-A-C-H motive, which looks forward to Contrapunctus 18 and also back to number 8 (see above under B-A-C-H). At measure 158, the main theme and its inversion are again, as in Contrapunctus 5, united in absolute simultaneity, this time without the concealment that marked this event in the earlier movement.

Contrapunctus 11 opens with a fugue exposition on the main theme, with passing tones and altered rhythmically as in Contrapunctus 8. The opening rhythm is the same as that of Contrapunctus 10. Following a cadence in measure 27 there is a loosely constructed fugal exposition on the two new themes: the inversion of the first theme of Contrapunctus 8 and a chromatic theme filling out the interval of a fifth. These themes are joined by a motive taken from Contrapunctus 3. This section ends with a cadence in measures 70–71. The next section is a short fugal exposition on the inversion of the opening theme, in which the motive borrowed from Contrapunctus 3 is also used. In measure 89 there begins a long, rather freely constructed fugue based primarily on the new eighth-note theme that incorporates the B-A-C-H motive. All of the thematic material that has been introduced so far in this movement participates in this section, which lasts until measure 158. At this point The Art of the Fugue theme and its inversion enter simultaneously in the soprano and alto, and then in the tenor and bass. The remaining thirty bars are concerned with a limitlessly joyous uniting of themes in all possible combinations. The main theme appears for the last time (in this movement) in the soprano in measure 180. The last note of this theme is also the last note of Contrapunctus 11 (see Example 16 a–j for all the thematic material of Contrapunctus 11).

At this point, power, grandeur, complexity, repetition, development, and intensity have gone as far as they can. The next four movements are relatively short, quiet, and simple, though not any less expressive. They are strict canons in two voices. Contrapunctus 12 is a canon at the octave based on an ornamented version of the main theme in triplet sixteenth notes (Example 17). It is a good-humored, even humorous, piece. Contrapunctus 13 is somewhat darker in mood. It is a canon at the twelfth, based on a close variant of the main theme (Example 18). Its rhythmic interest comes from an alternation between triplets and duple rhythms. Contrapunctus 14 is a canon at the tenth, based on a completely straightforward version of the inverted main theme. This is accompanied by a quiet, rather wistful triplet figure (Example 19). Contrapunctus 15 is a canon by augmentation in contrary motion. That is, the second voice enters with an inversion of the first voice, at half speed. The second voice falls progressively farther behind, and by the end it has presented less than half the musical material of the first voice. As if to be fair, Bach has arranged the work in two sections, with the upper and lower parts changing roles halfway. This canon is based on a chromatically altered version of the main theme (Example 20, p. 24). The effect is rather weird, both disquieting and humorous.

Contrapunctus 15 reintroduces a principle of inversion that was so important through number 11. Contrapuncti 16 and 17 carry this principle farther than before. Each is in two sections, and, in each case, the second section is a note-by-note inversion of the first. These are contrapuntal tours-de-force of the highest order, all the more so since in both cases the inversions sound just as natural, spontaneous, and free as the original forms. Contrapunctus 16 is in three voices, and based on a triplet version of the main theme, reminiscent in different ways both of Contrapunctus 9 and of Contrapunctus 12 (Example 21, p. 24). The style is that of a moderately lively trio sonata movement. Contrapunctus 17 is a four-voice fugue based on a version of the main theme that is identical to the original version (Example 1), except that it is in triple time (Example 22, p. 24). The texture is very thick. With many voice crossings, the contrapuntal nature of the work is somewhat obscured. The mood is dreamy and brooding. In measure 21 a new version of the subject enters (Example 23, p. 24), which is derived from a short countersubject figure (Example 24, p. 24), which was, in turn, derived from the last four notes of the subject itself. Each half of the work ends with a flourish in sixteenth notes.

Contrapunctus 18, the last movement of The Art of the Fugue, is a monumental work, surpassing even Contrapunctus 11 in scale, and equaling it in expressive power. It was left incomplete. Bach died either before he wrote the ending down or before he was even able to conceive of an appropriate ending to a work of this stature. In its present form, the movement has 239 measures. Any formally adequate continuation and ending would bring the length of the work to over four hundred measures, making it very likely the longest fugue from the Baroque era. This, however, was not to be.

The movement opens with a fugue in four voices on an apparently new theme (Example 25). The first four notes of this theme, however, are identical to the first four notes of the main theme (with passing tones). After the fourth note the theme doubles back on itself, in an allusion to the mirroring process whereby the previous two movements were created. Thus this theme is a version of the first half of The Art of the Fugue theme. This new theme can also be derived directly from the second half of the first subject of Contrapunctus 8 (see Example 10). Furthermore, the very first two notes of Contrapunctus 18 are an exact echo of the last two notes of Contrapunctus 17; and the whole of Example 25 is essentially the same as the flourish that ended the first half of that movement. The fugue built on this subject—one of extraordinary grandeur—lasts 115 measures. It overlaps with a new fugue on a new subject (Example 26). This subject is derived closely from a theme that was introduced briefly in Contrapunctus 10 (see above and Example 15). It also includes, on strong beats, all of the notes of the main theme that are missing from the first theme of Contrapunctus 18: it completes that theme. This fugue is livelier in character than the first fugue. The first theme does enter, however, five times as a kind of cantus firmus. The last two such entries are in stretto with each other. This fugue ends in measure 193. A third fugue now begins, on the B-A-C-H theme in the simplest, most straightforward possible form (Example 27). This section brings a return to the majestic quality of the first section, but it is much shorter. In measure 233 it gives way to a return of the second subject in (partial) stretto with itself. This is joined one measure later by the first theme in the bass, and, one measure later still, by the B-A-C-H theme in the tenor. The three themes are united; the main Art of the Fugue theme is present only by implication or by transfiguration. At this moment the work ends. There is no cadence, no resting place. It ends as abruptly as could be. We are challenged to accept that the meaning, quality, and completeness of a work of art, as of a human life, do not come from the timing or nature of its end, but from what it is and what it does.

Forgotten Symphonies: Hans Fährmann and the Late German Romantic Organ Sonata

Nicholas Halbert

Nicholas Halbert is director of music at the Cathedral Church of the Nativity in Bethlehem, Pennsylvania. He holds degrees from the Eastman School of Music (Bachelor of Music), Southern Methodist University (Master of Music, PhD) and Arizona State University (Doctor of Musical Arts).

Example 1: Wagner, Parsifal transformation excerpt

Hans Fährmann, Dresden’s organ composer

Hans Fährmann’s fourteen sonatas for the organ make up one of the most compelling bridges between organ music and the mainstream German Romantic musical world, and yet they remain largely forgotten. There has been a surge in interest over the last two decades, with several volumes of a complete cycle by Dietrich von Knebel and a recording of the Sonata No. 8 by David Fuller having been released. Several scholarly works have also appeared, most notably the summaries of Fährmann’s life, context, and work written by Stefan Reissig and Hans Böhm. James Garratt has recorded Sonata No. 12 and written about this and several miscellaneous works in connection with his study on organ music and World War I. Nevertheless, energy around Fährmann’s music remains stagnant, and his music is far from being heard live with any frequency.

How did it come to be that such a significant set of large-scale sonatas have been nearly entirely forgotten? Fährmann was certainly not unknown in his own time. As both the cantor of a large Dresden church and a lecturer, director, and professor of the Royal Conservatory of Dresden, he was well regarded in the Saxon capital. In his own time, he was referred to as the “Richard Strauss of the organ.”1, 2 An article in a British music journal of 1912–1913 about chorale-preludes mentions three such works in the genre by Fährmann immediately after discussing Max Reger and writes that these are well known in Germany.3 And yet, in the same year J. Hennings writes in his special printing for the readers of Die Harmonie that he has undertaken the essay on Fährmann because he remains relatively unknown and blames it on the composer’s modesty with the press.4 Fährmann was evidently pleased with Hennings’s pamphlet about his music, because he dedicated his Sonata No. 10 to him in 1913. While Hennings is probably right, Fährmann’s new works were at least well-advertised in the Neue Zeitschrift für Musik.

Probably far more significant is Fährmann’s lack of a famous interpreter who was promoting his music. Unlike Reger, whose music was championed by the formidable Karl Straube, Fährmann promoted his own music. What Straube did for Reger solidified his reputation; not only did he edit Reger’s music and perform it frequently, he also included it in the repertoire of his students, cementing the legacy of the composer. Straube only performed Fährmann—the Introduzione e Fuga triomphale—once during his time at Saint Thomas Church in Leipzig (in the period of 1903–1918).5 Speculatively, Straube may not have had much interest in Fährmann’s thoroughly Romantic music; Reger’s music carries far more of Bach’s influence. Straube would eventually become an important proponent of Orgelbewegung ideals, a movement that would have further rejected the Dresden composer’s music. Fährmann’s disappearance from the musical landscape was all but guaranteed when the publishing house of Otto-Junne-Verlag in Leipzig was destroyed during the 1943 bombing and with it all the printing plates of his works, some of which appear to be permanently lost.6

These works are worthy of performance and study. They are of high craftsmanship and musical interest. More importantly, they contain compelling narrative arcs capable of creating real emotional response. And they offer the organist something that is missing from the canonic repertoire: organ music written in dialogue with the massive Austro-Germanic symphonic tradition at the turn of the century. The late German Romantic music currently considered canonic tends to be valued for its synthesis of conservative and progressive musical aesthetics; this is not the case with Fährmann. This is music unabashedly written in the style and form of Johannes Brahms, Richard Wagner, Richard Strauss, and Gustav Mahler. For so many musicians, it is exposure to the music of these composers in the symphony hall that sparks their deep love of the art. How wonderful it is then that we have these organ sonatas that take part in that genre and allow us to engage with it. This essay will lay out a basic image of Fährmann’s musical context and the organs he would have known, and will then discuss this in relation to his Sonata No. 1.

Böhm and Reissig have both written excellent, short biographical sketches of Hans Fährmann. He was born on December 17, 1860, in Beicha, Saxony.7 The composer told his student, Böhm, that he had not had a sunny childhood,8 and a contemporary musical chronicler, Franciscus Nagler, remembers the composer as a stubborn and determined young man, hardened by an overly strict household.9 Fährmann’s musical teachers at the Dresden-Friedrichstadt included pianist Hermann Scholtz, organist Carl August Fischer, and composer Jean Louis Nicodé.10 The latter, also largely forgotten today, was a first-rate composer and conductor in Dresden during the latter portion of the nineteenth century, whose magnum opus was a massive symphony lasting over two hours named Gloria! Ein Sturm- und Sonnenlied Symphonie in einem Satze für Grosses Orchester, Orgel und (Schluss-) Chor. This maximalist work demonstrates the influence of the New Weimar School in Dresden. Also living in Dresden at the time was Felix Draeseke, a Wagnerian who wrote four symphonies. These Dresden composers, fusing more structured forms with the freedom and expressivity of the Liszt/Wagner camps, had obvious influence on Fährmann.

In 1884 Fährmann went to Weimar and performed his own Piano Sonata, opus 7, for Franz Liszt, who encouraged him to continue his career in music.11 Upon graduating he held the position of cantor at the Johanneskirche from 1890 to 1926. He began as a lecturer in organ at the conservatory in 1892 and would hold a number of positions there, retiring at the rank of professor in 1939.12 During his time at the church he held an extremely successful recital series at which he would perform and lecture on music from all historical periods and national schools. This occurred over eight years, from 1892 to 1900 in thirty separate programs; Johann Sebastian Bach was the centerpiece of the series, including performances of all six trio sonatas.13

In 1900 Fährmann suffered an apparent nervous breakdown as a result of the demands of his heavy concert schedule and turned his focus to composition and teaching while maintaining his church position.14 On retirement from the Johanneskirche position in 1926, Fährmann moved to a house in a forested suburb of Dresden in order to focus on composition.15 It is noteworthy that two contemporaries, Rost16 and Hennings,17 both describe the composer as a deeply committed and passionate man who was immune to any vain desires for fame or popularity and instead remained thoroughly true to himself and his musical convictions. Fährmann was married twice and had five children.18 He died in Dresden on June 29, 1940.19

The German Romantic organ sonata and Hans Fährmann

As might be expected of a musical landscape dominated by the legacy of Ludwig van Beethoven, the sonata was of central importance to nineteenth-century German organists. The genre of the organ sonata began in the High Baroque, with the works of Johann Sebastian Bach and his son, Carl Philipp Emanuel Bach, generally constructed in the fast-slow-fast, three-movement layout. Felix Mendelssohn’s sonatas for organ are collections of voluntaries. The effect of Franz Liszt’s Fantasy and Fugue on the Chorale “Ad nos, ad salutarem undam,” S. 259, in 1850 was profound. This single-movement work in a modified monothematic sonata-allegro form became the inspiration for dozens of similar pieces, most famously Julius Reubke’s Sonata on the Ninety-Fourth Psalm and August Gottfried Ritter’s Sonata No. 3 in A Minor. From 1865 the organ sonata trended toward the classical three- or four-movement format.20 Rudolf Kremer’s incredibly useful index of German organ sonatas counts a total of 158 sonatas by forty-six composers in the final three decades of the nineteenth century.21 This set the stage for music increasingly influenced by the post-Beethovenian conception of the sonata and symphony. Ironically, Fährmann’s organ sonatas bear much more formal similarity with the sonata-forms of Beethoven than of Liszt—even though the contemporaneous iteration of the genre developed thoroughly from the New Weimar School. This speaks to the influence of Brahms, Josef Rheinberger, and the generally conservative nature of the Dresden School.

Music written by nineteenth-century German composers often looks like a symphonic reduction on the page, with some virtuosic passagework borrowed from the piano. While music of the French School (as it always has been, from the French Classical period) is married to the timbres on which it is being played, German Romantic organ music is conceived usually for choruses, often with no more instruction than the desired dynamic level. Only occasionally are specific solos or combinations of color required. This is mirrored in the orchestrations of Beethoven, Robert Schumann, and Brahms in which the strings play most of the time and carry the bulk of the musical content, with the addition and subtraction of winds and brass for dynamic and color contrast.

This relationship between orchestration and organ registration is also true of the French; for instance, compare the music of César Franck, Louis Vierne, and Charles-Marie Widor with the work of Hector Berlioz, and then compare Olivier Messiaen’s organ music with his orchestral music. German organ music tends to be focused on thematic development, dense counterpoint and harmony, and the formal outline of a composition, often instead of writing idiomatic and virtuosic keyboard passagework.

Hans Fährmann’s organ music meets this description aptly and is even more symphonic in conception than other canonic organ repertoire of the time. Rheinberger’s sonatas, predecessors to Fährmann’s oeuvre, feature idiomatic keyboard writing similar to Liszt’s approach to the instrument with the presence of pianistic figurations borrowed from nineteenth-century practice. This is true of the many German Romantic organ sonata composers influenced by Liszt: Reubke, Ritter, Gustav Merkel, et al. Fährmann’s most famous direct contemporaries nearby in Leipzig both wrote extremely idiomatic keyboard music for the organ. Max Reger’s music, so marked by the legacy of Bach, is built of constant, dense, and intricate counterpoint that is nevertheless decidedly keyboard music. His virtuosic explosions of chaotic figurework contrasted with sudden, hushed stillness show the influence of the Baroque stylus fantasticus and of Liszt and other piano improvisers of the nineteenth century. Sigfrid Karg-Elert, influenced by the Impressionists, uses registration and figuration to develop colors and textures in kaleidoscopic progressions and contrasts. This is to say: these now-canonic German Romantic composers wrote organ music that was fundamentally keyboard music, not orchestral music as translated to the organ. Even as these composers’ music is “orchestral” in the sense of color, it is not in a formal or stylistic sense.

Fährmann is distinct from all of the afore-mentioned composers in that he generally eschews non-motivic passagework (with some key exceptions) and writes with consistently thick textures echoing the dense symphonic writing common throughout the nineteenth century seen most characteristically in Wagner and Anton Bruckner. In further contrast with contemporary German organ composers, Fährmann’s work is characterized by an endless stream of melodic content. His resourcefulness with and the constant presence of motivic material is clearly indebted to the Beethovenian/Wagnerian tradition. Even in his fugal writing his subjects are often marked by forgoing conventional sequences and figurations in favor of idiosyncratic intervals, contours, and rhythmic shapes, which then entirely shape the subsequent fugue.22 Where virtuosic figuration does occur, it is not in the style of keyboard music, where often it is used to expand the harmony and build a sonorous and energetic texture, but tends to look like the type of runs assigned to strings in symphonic movements. This is in no small part due to the way in which his fast figuration usually interrupts and contrasts with the normal texture of a section of music, and the intervallic shapes of that figuration, which take on motivic significance in themselves.23 All of these traits place Fährmann’s music solidly in the late-Romantic symphonic school, and characteristics like this can be easily found in the music of Richard Strauss, Gustav Mahler, and Sergei Rachmaninoff.24

Arguably, Fährmann was the German Romantic composer who most explored the possibility of the organ as a vehicle for symphonic writing. His harmonic and melodic language is heavily influenced by late-Wagnerian music, particularly the sound world of Parsifal and Die Meistersinger. Fährmann’s harmony is dominated by constant extensions and suspensions paired with the generous use of all common-practice chord types. This results in an extremely colorful style that seems to carry maximal tonal tension within every phrase. He frequently uses chromatic voice-leading to result in surprising modulations and extreme harmonic distances being contained within musical units. However, this rich harmonic language is always subverted to the melodic content, usually in the soprano voice. As a result, much like Wagner, he is able to make extreme harmonic motions sound logical. Of note in his melodic writing is the frequent appearance of appoggiaturas, grace notes, and turn figures (these especially point to Wagner), which are all borrowed from Romantic string writing.

A few specific musical examples will illuminate this connection between Fährmann and Wagner. Examples 1 and 2 are excerpts from the famous “Transfiguration Music” in Act One of Parsifal. These are ideal models because they contain several key characteristics of late-Wagnerian style in the space of a few bars. Example 1 shows chromatic voice leading in the inner voices, the use of melodic contour to set up frequent suspensions in the melodic parts, and the upbeat triplet figure which is so essential to Wagner’s melodic language. Notice how the chromatic voice leading and suspensions allow Wagner to naturally incorporate a wide variety of chord types in a small space. Now looking at Fährmann’s application of these musical ideas, Example 3 (see page 15) shows the cadence of the main theme of Sonata No. 1. Here he resolves the first suspension in the tenor with a chromatic descending line in an identical way to Wagner, and here too it creates rapidly changing colors of harmony. Note how the melodic contour of the soprano allows Fährmann to naturally approach an augmented harmony on the downbeat of the second bar where it will be perceived as a suspension over a dominant. The incorporation of augmented sonority into moving contrapuntal textures is a major color of late Wagnerian writing. Example 4 depicts the beginning of the secondary thematic area of Sonata No. 1 and shows Fährmann adapting the lyrical upbeat triplet figure.

One of the most innovative harmonic devices in late Wagnerian music is the combination of chromatic voice leading and suspension to evade functional harmonic resolutions. Example 2, the climax of the “Transfiguration music,” is an excellent example of this technique. The fortissimo is reached on a clear tonic C-sharp minor chord with root in the bass. Wagner shifts two voices down by half step and sustains the C-sharp to create a German augmented-sixth harmony, but, rather than moving to the dominant, he moves those top two voices down another half step to arrive at a half-diminished sonority over G-sharp in the bass. Another chromatic motion resolves this into a C-sharp-major seventh chord and thoroughly destabilizes the tonic announced just a bar earlier. Example 5, an excerpt from the development of Fährmann’s Sonata No. 7, uses a similar technique in combination with a rising sequence to create a progression full of rich, functional sonorities that evade their natural resolution. This passage is also melodically similar to how Wagner moves out of the Tristan chord at the beginning of the “Prelude.” The rising half steps are identical in contour and rhythm. The harmonies, however, do not match the Tristan chord. Example 6, the final cadence of his Sonata No. 10, shows an absolutely spectacular utilization of this method to create a prolongation of the tonic. It is worth noting that this passage almost looks like Impressionist chordal planing, but the careful use of suspended voices (even if re-attacked) keeps this solidly within the tradition of counterpoint and its rules. The effect of this technique, present in Wagner and Fährmann, of denying conventional harmonies their functional resolutions creates a dizzying web of harmonic tension that stretches the boundaries of tonality.

On the other hand, his approach to form is significantly more conservative. Here the influence of Brahms and the Dresden School, including Draeseke, Nicodé, and of course Strauss, should be noted. As a result, Fährmann’s music does not contain the type of free-flowing modulation from section to section that can be found in Wagner and Franck. Instead it is fundamentally governed by the motion from tonic to dominant and back again. Fährmann’s harmonic language is used to embellish and develop tension over the basic tonal plan. He tends to write in relatively Classical phrase models built symmetrically. In this way his music is quite similar to that of Strauss in the 1880s.31 Gotthold Frotscher remarked that Fährmman’s music is built from Liszt’s harmonies with the thematic development of Brahms.32

Fährmman’s primary similarity to Reger is in his skill as a composer of counterpoint, which was celebrated by contemporary musicians. His student Richard Rost observed in a notice in the Neue Zeitschrift für Musik honoring Fährmann’s seventy-fifth birthday that his polyphony is never abstract but always meant to convey an expressive meaning.33 In his important survey of Fährmann’s musical work, J. Hennings also remarks that he is a contrapuntist of the highest level.34 He adds that the comparison to Richard Strauss is undoubtedly true but that Fährmann’s musical sensibility is firmly rooted in the Classical style and that this was influenced by the modern Zeitgeist. Fährmann always remained true to himself, Hennings says, and this speaks to his individuality as an artist “favored by God.”35 What makes Fährmann a compelling composer is that his music surpasses direct imitation of any of these influences and becomes a unique prism reflecting them into a novel musical language.

The German Romantic organ

The development of writing for the organ has always been paralleled by developments in the instrument, and the German Romantic period is no exception to this. The connection between the instruments of Cavaillé-Coll and the French symphonic school has been well documented, but the influence of modern instruments on the German Romantic school is no less profound. In fact, differences in their design led to profound differences in the respective utilizations of the instruments. The first German instruments to be considered modern Romantic installations were those of Friedrich Ladegast and Adolf Reubke built in the middle of the nineteenth century. Some of the later organs of the High Baroque built by Silbermann and his students already pointed in the direction of future instruments with their substantial increase in the number of 8′ ranks. Ladegast and Reubke expanded in this direction with more foundations available at 16′, 8′, and 4′ pitches that were voiced with full, warm timbres emphasizing the fundamental. The powerful mixtures and mutations of the Baroque are preserved in these organs, giving them an unusual blend of eighteenth- and nineteenth-century characteristics. Reeds remained in their position as color stops, never becoming the dominant chorus color as they were on contemporaneous French organs.

The second half of the nineteenth century saw builders developing from the aesthetic concept of Ladegast and Reubke: the blending of the Baroque plenum sound into a modern idiom of weighty foundations that emulate the orchestra. In the organs of Wilhelm Sauer and E. F. Walcker & Cie., the mixtures and mutations are folded into the foundations more convincingly, leading to an incredibly rich plenum that is built from nearly every rank on the instrument. These well-developed overtones made the German Romantic organ very capable of performing counterpoint. Its ability to perform in an orchestral style is enhanced by the wide variety of colors available in the foundations. Both tendencies make these instruments ideal vessels for the music written by German Romantic composers. Just as the nineteenth-century compositional school continually referenced the music of Bach, so the instruments constantly bear the signature of the Baroque plenum.

This was particularly true in the Saxon School of organbuilding that, surrounded by extant installations by Silbermann, tended to be more conservative than other regions of Germany. Jiri Jocourek, of the Eule Orgelbau, has written an excellent summary of the types of instruments that Hans Fährmann would have known during his musical development—these would have included the legendary Silbermanns of Dresden, a Hildebrandt and a Wagner organ, two mid-century Romantic organs by Friedrich Nicolaus Jahn, and then later in life some very large installations by the Jemlich firm.36 But most significantly, Fährmann would have been influenced by the instrument over which he presided at the Johanneskirche in Germany.37 This church stood in the Pirnaische Vorstadt, just east of Dresden’s Aldstadt, and was split off from the Kreuzkirchgemeinde, the main Lutheran church in the Saxon capital.38 Built in a wealthy parish, it was one of the first neo-Gothic structures in the city. The building and instrument were destroyed by the fire bombing of Dresden in February 1945, and nothing of the church remains on the site.39

The Eule organ at the Johanneskirche was unusual for the firm. Hermann Eule was a thoroughly Romantic organbuilder, using large numbers of ranks at the fundamental and rich voicing characteristic of the nineteenth century.40 However, the disposition at the Johanneskirche is significantly more conservative and more influenced by the Saxon organ building tradition having fewer 8′ foundation ranks and substantially more upperwork than usual for the builder. This instrument had neither a swell enclosure nor playing aids.41 In 1893 after the Sonata No. 1 had already been published, Fährmann had a swell installed.42 In 1909 a large overhaul took place, which created a Romantic instrument of fifty stops spread over three manuals.43 Jiri Kocourek points out the absence of a 16′ rank on the third manual and the unusual selection of 8′ and 4′ ranks in the Pedal.44 The latter almost certainly informs us that the pedal couplers were used consistently with any larger choruses. There is no record of the playing aids available on the 1909 instrument, as the next available record dates from work undertaken by his successor, Gerhard Paulik, and this documented a reduction in the number of console aids. Kocourek lists the playing aids available on a similar instrument, the Bautzen Cathedral organ, which include a walze, fixed combinations for various dynamic levels, and three free combinations.45 If the Johanneskirche organ indeed contained these mechanisms, it would have been a thoroughly modern instrument. It is important to note that Fährmann’s scores do not call for as dynamic a use of the walze as was present in music by Reger or Karg-Elert. This is in line with his more orchestral conception of the use of the pipe organ.

Organ Sonata No. 1 in G Minor

The Sonata No. 1 in G Minor, opus 5, demonstrates, as Hennings says, that Fährmann was “predestined to become an organ composer.”46 The reviewer draws the listener to the “originality of thought,” “fine thematic work,” and “skilled polyphony” of the sonata, along with the cyclical structure in which the main theme of the first movement is connected to the second theme of the closing double fugue.47 This work holds a relatively early opus number; it was published in 1891 when the composer was thirty-one years old and after his appearance before Liszt. Though it is his debut organ sonata, it really should be considered a mature work and an intentional debut of his compositional skill in the genre of the organ sonata. The sonata contains three movements: “Moderato maestoso,” “Andante religioso,” and a Doppelfuge.

The first movement is in a straightforward sonata form with an appended “Cadenza” making up a substantial coda section. The main theme is heard clearly at the beginning (in many of the later sonatas Fährmann would write a lengthy introduction), and from its outset the richness of harmonic color is evident. The secondary theme is in the relative major of B-flat and is marked by numerous appoggiaturas giving it a longing lyrical character and reflecting the Wagner/Strauss influence (Example 7). The development section manipulates only the primary theme; it is a standard Beethovenian development moving among many tonal areas. After a normative recapitulation, the cadenza is the most obviously Wagnerian section of the sonata, having violin-like figurations very similar to those at the climax of the Meistersinger “Prelude,” with the strings continually beginning downward scales and arpeggios on the upper neighbor of the correct harmonic pitch (Example 8). A profoundly dissonant harmony over a pedal trill leads into a final statement of the main theme on full organ.

The second movement is an Andante in ternary form quite similar in structure to the slow movements found in early Beethoven piano sonatas. It opens with a chorale-like theme in the soprano, which is repeated immediately with more elaborate counterpoint. From there a cadence is evaded, and free material is introduced that destabilizes the key over a prolonged dominant pedal point and leads to the conclusion of the first section with a final statement of the first melody. The second section is in C minor with a darker chromatic quality (in this one might hear shades of Mahler). Another pedal point returns to E-flat major, and the main theme returns with a new obbligato flute-like solo line over it. Fährmann writes a fairly extended canon based on free material emerging from this solo and points the performer’s attention to it with a footnote. The final statement of the theme concludes with an increasingly chromatically inflected progression oscillating around several harmonies containing C-flat (Example 9). In the penultimate measure the music seems to land securely on a minor subdominant chord preparing the cadence, but only arrives at the desired E-flat by moving through a German sixth chord—again, one may hear a shade of Mahler in this closure.

The final Doppelfuge begins in the pedal, and the four voices enter from bottom to top until a fifth voice is added in the alto during a pedal point. The first subject begins unusually with a grace note followed by an ascending minor sixth, the inversion of the opening descending major third interval of the first movement. It is an idiosyncratic subject, full of chromaticism and strange leaps and changes of direction (Example 10). This is the type of fugue subject that Fährmann favored throughout his compositional career; one in which the subject dictates the harmonic and melodic content of the form, unlike the subjects chosen by Reger or even Karg-Elert, which, though often characteristic in their own right, are tonally open enough to be manipulated in numerous ways throughout the course of a movement. After a complete exposition of the theme, the subject is heard thrice through48 in inversion before the conclusion of the first thematic area of the fugue. It is worth noting Fährmann’s incredible skill at writing imitative counterpoint, which interweaves with the fugal content, creating a dense polyphonic texture insistent on its horizontality.

The second subject is more obviously a quotation of the first movement, containing the initial four pitches of the main theme at its head (Example 11). The second countersubject is a chromatic scale, which leads to extremely chromatic counterpoint throughout the entire section. The second subject also contains more eighth-note motion, building momentum toward the fortissimo return of the first subject. The combination of these two is paired with a crescendo that arrives at the climax of the fugue, a restatement of the two subjects together now accompanied by rapid triplets­—here counterpoint dissolves into virtuosity. Another pedal point builds to a triumphant G major, with the second subject now appearing transformed. Though it is still accompanied by the chromatic countersubject, Fährmann has reconfigured it into a chain of secondary dominants that solidify the arrival of the major mode. The music goes through free, ecstatic progressions with characteristic Wagnerian harmonies into one final pedal point, which brings the music to its conclusion with a truly glorious restatement of the main theme of the first movement in G major, completing the cyclical construction of the sonata.

This work demonstrates many of the compositional elements that Fährmann would use throughout his career, and as such, makes an ideal starting point for any student delving into his oeuvre. Many of the issues of performance practice are similar to those found in other Romantic works of the same period: Brahms, Schumann, Reger, Franck (before Marcel Dupré’s influence on the interpretation thereof), and the like. This includes issues of rubato, large-scale tempo relationships (of flexible pulse throughout the course of a movement), legato touch, the use of agogics, etc.

What should be discussed here specifically regarding Fährmann is registrational practice. Most of Fährmann’s directions are communicated with dynamic markings alone, but the second movement has specific stops listed. These are a hint to understanding the work because they line perfectly with the specification of the Johanneskirche organ in 1891.49 In the second movement, he switches colors between each phrase (similar to how one might perform English organ music of the same time), telling us that the change of color was for him a way of further increasing variance between sections—this could be applied to other slow movements of his. But this hint is helpful in another way; it makes it clear that this score was in some way a performance copy for himself. His instrument in 1891 would not have had a swell box, so we can safely conclude that the marked crescendi and diminuendi are not manipulations of the expression shoe but the addition and subtraction of ranks. This conclusion is bolstered by the fact that there are nearly none of the hairpin markings associated with subtle manipulation of the boxes.50 This instrument almost surely did not have any playing aids, so the changes must have been executed by assistants.

The exposition of the first movement shows how Fährmann combines clever manual terracing with the implied manual addition of stops one-by-one over extended crescendi to nearly replicate the walze mechanism with which he would have been familiar. Nevertheless, given the specification of his instrument at the Johanneskirche at the time, it is hard to imagine that these dynamic changes were convincingly seamless. There is no reason for the modern performer to not embrace the full possibilities offered by combining the walze51 with the expression box and generate the orchestral ideal present in the score. The performer should always seek to create as seamless and orchestral a crescendo as possible, but in the German way—through the addition of one rank at a time, one dynamic step after another.52

Notice that nowhere in this score does Fährmann call for the type of dramatic dynamic contrast that was so common down the road in Leipzig. Consider how this might influence interpretive decisions about tempo development across extended dynamic build ups and tear downs. The organ student might consider listening to famed Austro-Germanic conductors of the older tradition like Wilhelm Furtwängler or Willem Mengelberg or the player-roll recordings of Reger and Straube to develop a sense of how pulse relationships operate over the course of entire movements in this style.

Conclusion

The Hans Fährmann repertoire is a rich landscape just waiting to be explored. Even as pioneering organists are beginning to dig into this music, it is beautiful to think that it will take a generation or two for this music and the interpretation of it to become canonized and thus crystallized. Every student should spend time working on non-canonic music to better develop their interpretive sense and their ability to think outside of the box and radically reconsider the handed-down interpretations of beloved works. It is important, of course, to study non-canonic music about which one is passionate, but also to find complementary works in each era and national school that can contextualize and shed light on the familiar. Furthermore, the scholarly study of non-canonic works always provides an opportunity to reconstruct the history of the literature. As the “story” of organ music settles in, it is easy to lose sight of all the many non-organ influences playing out in parallel and interacting with the organ literature in favor of studying the chain linking one organ work to another. It is unusual that Fährmann, a composer so influenced by the orchestral composers around him, wrote primarily for the organ, while for many of the composers heard more frequently today, the organ made up only a fragment of their total output.

This music is perfect for any student interested in organ music and the late Romantic symphony. Fährmann’s sonatas offer these musicians a synthesis of organ and orchestral style in a repertoire that has been neglected. As modern-day organists explore the sound world of turn-of-the-century Dresden, may they become the advocates that eluded Fährmann during his lifetime.

Notes

1. J. Hennings, Hans Fährmann: Eine Studie von J. Hennings (Hamburg: Hermann Kampen, 1912), page 8.

2. Fährmann’s Wikipedia page claims that the first appearance of this comparison was by Otto Schmidt in the Dresdner Journal in 1905. Unfortunately, the citation is no more detailed than this, and without complete searchability of the paper it is difficult to find the issue of the daily containing this. Interestingly, Reissig relies on Böhm for the citation of this quote, and Böhm leaves it uncited. However, in Hennings’s 1912 study, he says that it is “often said,” assuring us that the comparison was not original to him.

3. Charles MacPherson, “Chorale-Preludes: Ancient and Modern,” Proceedings of the Musical Association 39th Sess. (1912–1913), page 166. https://www.jstor.org/stable/765497.

4. Hennings, page 4.

5. Christopher Anderson, Max Reger and Karl Straube: Perspectives on an Organ Performing Tradition (New York: Routledge, 2016), page 331.

6. Hans Böhm, “Hans Fährmann, Organist at St. John’s Church: Organ Virtuoso–Composer–Teacher,” in Die Dresdner Kirchenmusik im 19. und 20. Jahrhundert, ed. Matthias Herrmann (Dresden: Laaber-Verlag, 1998), page 323.

7. Böhm, page 323.

8. Böhm, page 323.

9. Franciscus Nagler, Das Kligende Land: Musikalische Wanderungen und Wallfahrten in Sachsen (Leipzig: J. Bohn & Sohn Verlag, 1936), page 238.

10. Böhm, page 324.

11. Böhm, page 324.

12. Böhm, pages 324–325.

13. Richard Rost, “Hans Fährmann. Ein Dresdner Jubilar. Zu Seinem 70 Geburtstag,” Neue Zeitschrift für Musik, Jg. 97 (1930), pages 1030–1032.

14. Rost, pages 1030–1032.

15. Rost, pages 1030–1032. Böhm writes that this move occurred in 1896, but this must be incorrect, as the move occurring in conjunction with his retirement is more logical.

16. Rost, pages 1030–1032.

17. Hennings, page 8.

18. Böhm, page 326.

19. Böhm, page 324.

20. Robert C. Mann, “The Development of Form in the German Organ Sonata from Mendelssohn to Rheinberger,” PhD diss. (University of North Texas, 1978), page 27.

21. Rudolph J. Kremer, “The Organ Sonata Since 1845,” unpublished doctoral dissertation (Washington University, Saint Louis, Missouri, 1963), page 7, quoted in Robert C. Mann, “The Development of Form in the German Organ Sonata from Mendelssohn to Rheinberger,” PhD diss. (University of North Texas, 1978), page 30.

22. Ibid.

23. A good example of this can be found in the main theme of the first movement of the Eighth Sonata. This can be found at the “Allegro risoluto.” The explosion of virtuosic writing in the sixth bar is juxtaposed with the harmonic and rhythmic stability of the first half of the theme, heard over a tonic pedal point. While it begins as a straightforward rising flourish, it takes on a turning shape marked by unusual intervals that give it a distinctive identity.

24. Even a quick comparison shows that Fährmann’s sonatas bear more resemblance in stylistic language and form to the Edward Elgar Organ Sonata, which is effectively an orchestral transcription, than to the chorale fantasies of Reger.

25. Richard Wagner, Parsifal, arr. Karl Klindworth (Mainz: B. Schott’s Söhne, 1902), page 63.

26. Wagner, page 63.

27. Hans Fährmann, Organ Sonata Number 1 (Leipzig: J. Rieter-Biedermann, 1891), page 2.

28. Fährmann, Organ Sonata Number 1, page 3.

29. Hans Fährmann, Seventh Sonata for Organ (Leipzig: Otto Junne, 1904), page 10.

30. Hans Fährmann, Tenth Sonata for Organ (Leipzig: Rob. Forberg, 1913), page 20.

31. For instance, the Piano Quartet, opus 13, or the Violin Sonata, opus 18.

32. Gotthold Frotscher, Gesichte des Orgelspiels und der Orgelkomposition (Berlin: Verlag Merseburger, 1959), Band 2, pages 1211, 1246, 1255.

33. Richard Rost, “Hans Fährmann zu Seinem 75 Geburtstage,” in Neue Zeitschrift für Musik, Jg. 102 (1935): pages 1384–1385.

34. Hennings, page 8.

35. Hennings, page 8.

36. Jiri Kocourek, Hans Fährmanns Orgeln an der Johanniskirche Dresden, Eule Orgelbau, Bautzen, 2012, page 1.

37. Kocourek, page 1.

38. Joachim Winkler, “Die Johanneskirche,” in Verlorene Kirchen: Dresdens zerstörte Gotteshäuser. Eine Dokumentation seit 1938, ed. Stadt Dresden (Dresden: Stadt Dresden, 2018), page 27. http://www.dresden.de/media/pdf/denkmal/verlorene-kirchen-2018_web.pdf

39. Kocourek, page 5.

40. Kocourek, page 2.

41. Kocourek, pages 2–3.

42. Kocourek, page 3.

43. Kocourek, page 4.

44. Kocourek, page 3.

45. Kocourek, page 4.

46. Hennings, page 9.

47. Hennings, page 9.

48. The careful observer will note that the first appearance of the inverted subject in the soprano contains an E-flat where there should be a repeated D. It is impossible to know if this intentional, though the E-flat certainly enhances the harmonic drama of the following leap. I play it as printed.

49. The fact that the work clearly matches the Johanneskirche organ and that it was published in 1891 suggests that he may have written it in conjunction with his appointment to the church.

50. With one major exception—the conclusion of the slow movement. The hairpins here are surely included for instruments that do have expression, though they also serve plausibly as rubato markings in the absence of the mechanism.

51. Or the Sequencer set up with one stop added at a time.

52. As opposed to the English-American approach, involving careful addition of rank and manipulation of the swell boxes.

53. Fährmann, First Sonata, page 3.

54. Fährmann, First Sonata, page 8.

55. Fährmann, First Sonata, page 13.

56. Fährmann, First Sonata, page 14.

57. Fährmann, First Sonata, pages 15–16.

Bibliography

Anderson, Christopher. Max Reger and Karl Straube: Perspectives on an Organ Performing Tradition. New York: Routledge, 2013.

Böhm, Hans. “Hans Fährmann, Organist an der Johanneskirche: Orgelvirtuose—Komponist—Pädagoge.” In Die Dresdner Kirchenmusik im 19. und 20. Jahrhundert, edited by Matthias Herrmann, pages 323–331. Dresden: Laaber-Verlag, 1998.

Fährmann, Hans. “Op. 24 6. Sonata für die Orgel; Op. 25. 7. Sonate für die Orgel.” Neue Zeitschrift für Musik, Jg. 71, 1904. Page 620.

Fährmann, Hans. “Op. 40, 6 Charakterstucke für Orgel; Op. 42 Fantasia e fuga tragica b moll für Orgel.” Neue Zeitschrift für Musik, Jg. 77, 1910. Page 176.

Fährmann, Hans. Organ Sonata No. 1. Leipzig: J. Rieter-Biedermann, 1891.

Fährmann, Hans. Organ Sonata No. 7. Leipzig: Otto Junne, 1904.

Fährmann, Hans. Organ Sonata No. 10. Leipzig: Rob. Forberg, 1913.

Frotscher, Gotthold. Geschichte des Orgelspiels und der Orgelkomposition. Berlin: Verlag Merseburger, 1982.

Garratt, James. “‘Ein gute Wehr und Waffen’: Apocalyptic and redemptive narratives in organ music from the Great War.” In Music and War in Europe: from French Revolution to WWI, edited by Étienne Jardin, pages 379–411. Turnhout: Brepols, 2016.

Hennings, J. Hans Fährmann: Eine Studie von J. Hennings. Hamburg: Hermann Kampen, 1912.

Koldau, Linda Maria. “Fährmann, Hans.” MGG Online, edited by Laurenz Lütteken. RILM, Bärenreiter, Metzler, 2016. Accessed November 11, 2023. https://www-mgg-online-com.ezproxy1.lib.asu.edu/mgg/stable/13649.

Kocourek, Jiri. “Hans Fährmanns Orgeln an der Johanniskirche Dresden.” Eule Orgelbau Bautzen, 2012.

Kremer, Rudolph J. “The Organ Sonata Since 1845,” unpublished PhD dissertation, Washington University, Saint Louis, Missouri, 1963. Quoted in Mann, Robert C. “The Development of Form in the German Organ Sonata from Mendelssohn to Rheinberger.” PhD diss., University of North Texas, 1978.

MacPherson, Charles. “Chorale-Preludes: Ancient and Modern.” Proceedings of the Musical Association 39th Sess. (1912–1913): pages 153–182. https://www.jstor.org/stable/765497.

Mann, Robert C. “The Development of Form in the German Organ Sonata from Mendelssohn to Rheinberger.” PhD diss., University of North Texas, 1978.

Nagler, Franciscus. Das Kligende Land: Musikalische Wanderungen und Wallfahrten in Sachsen. Leipzig: J. Bohn & Sohn Verlag, 1936.

“Organ Music.” The Musical Times vol. 38, no. 657 (November 1, 1897): page 744.

“Organ Music.” The Musical Times vol. 38, no. 658 (December 1, 1897): page 815.

Reissig, Stefan. “Zur Orgelmusik Hans Fährmanns.” In Orgelbewegung Und Spätromantik: Orgelmusik Zwischen Den Weltkriegen in Deutschland, Österreich Und Der Schweiz, edited by Birger Petersen and Michael Heinemann, pages 83–89. Studien Zur Orgelmusik. Sankt Augustin: J. Butz, 2016.

Rost, Richard. “Hans Fährmann. Ein Dresdner Jubilar. Zu Seinem 70 Geburtstag.” Neue Zeitschrift für Musik, Jg. 97, 1930. pages 1030–1032.

Rost, Richard. “Hans Fährmann zu Seinem 75 Geburtstage.” Neue Zeitschrift für Musik, Jg. 102, 1935. Pages 1384–1385.

Wagner, Richard. Parsifal, arr. Karl Klindworth. Mainz: B. Schott’s Söhne, 1902.

Winkler, Joachim. “Die Johanneskirche.” Verlorene Kirchen: Dresdens zerstörte Gotteshäuser: Eine Dokumentation seit 1938. Ed. Stadt Dresden. Dresden: Stadt Dresden, 2018. http://www.dresden.de/media/pdf/denkmal/verlorene-kirchen-2018_web.pdf

 

Sample YouTube recordings of Fährmann works:

Sonata No.1 in G minor, op. 5

Sonata No. 12 (War Sonata), op. 65

On Teaching: The Art of the Fugue, part 2

Gavin Black
Fugue subject

The Art of the Fugue, II

For discussion in this the next two columns, I offer the program notes I wrote for my first performance of The Art of the Fugue in May 1985. This performance, on the Fisk organ at Westminster Choir College, was one of my two graduate recitals. I prepared these notes over more or less an entire semester and had some input and help from my teacher Eugene Roan and from William Hays, who was the advisor for degree recital program notes. I have been pleased with this essay, and I have used it as partial program notes for subsequent performances. It has an integrity to its overall structure—thanks in significant part to Dr. Hays’s assistance—such that I have not changed it or excerpted it. Despite that, if I were to write these notes today, there are a number of things I would phrase differently.

It could be fruitful to use some of those theoretical revisions to frame future columns about the learning process, the evolution of my relationship with this work, and the relationship between my own work on this piece and teaching. Some of what I wrote about the order of the movements was too cut-and-dried, rather too simple, failing to reflect some of the complexities of what we do and do not know about the piece. In later columns, I will discuss that, including some new ideas.

History and form

J. S. Bach wrote The Art of the Fugue during the last years of his life, probably beginning work on what turned out to be his longest and most complex instrumental composition in 1743, leaving the opus incomplete at his death in July 1750. It was published in 1751 in Leipzig in a poorly engraved edition, the preparation of only part of which had been supervised by Bach himself. The publication was not a commercial success, and the project was soon abandoned by Bach’s heirs.

Copies of The Art of the Fugue circulated among musicians, however, from that time on. In 1799 a scholar referred in print to the work as “celebrated,” and both Mozart and Beethoven owned copies. The Art of the Fugue was studied extensively by musicians throughout the nineteenth century, and nearly twenty editions or arrangements were published during those years. The first known public performance of the whole work took place in 1927 in Leipzig under the direction of Karl Straube, one of Bach’s successors as Kantor of Saint Thomas School in that city.

The Art of the Fugue is a work of well over an hour in length, consisting of eighteen movements all based in one way or another on the same musical theme. This theme occurs in something like one hundred different forms throughout the piece. The first and simplest form of the theme is shown in Example 1.

The theme is closely based on the tonic triad of the key of D minor, or, looking at it another way, on the interval of a fifth, and on the idea of filling that interval in. The first gesture creates a perfect fifth; the next gesture fills in that fifth, in the simplest possible way. The rest of the theme provides the remaining notes needed to fill in the perfect fifth, D–A, by step, and outlines a diminished fifth, C-sharp–G. In the tonal world of Bach the perfect fifth is the source of security and repose, while the diminished fifth is a source of tension, unrest, and striving. The two are antithetical to one another. This antithesis, with the one side represented not only by the perfect fifth as such but also by all diatonicism, and the other side mainly represented by the chromaticism implicit in the diminished fifth, is a major source of direction, growth, and meaning throughout The Art of the Fugue.

The opening theme also contains, in significant contexts, all the intervals from the semitone to the perfect fifth. This is in spite of the brevity, compactness, and apparent simplicity of the theme. The use of such a theme creates a situation in which any interval, either open or filled in by step, can be used by the composer as a motive significantly related to the main theme of the work. This possibility for motivic interrelation is an important source of unity and coherence in The Art of the Fugue in spite of considerable variety and diversity.

Most of the movements of The Art of the Fugue are fugues or are largely constructed through fugal procedures. Four movements are strict two-voice canons. Bach did not designate any of the movements as fugues, but rather as contrapuncti. (He may well also not have been responsible for the title under which the work is known, since the title page was engraved after his death.) He seems to have been concerned in his use of nomenclature to suggest that the movements were not autonomous fugues such as the organ fugues or the fugues of the Well-Tempered Clavier (all of which are paired with non-fugal preludes), but rather stages in the working out of a musical idea, or a set of musical ideas, through a variety of contrapuntal techniques. Several of the movements, even apart from the canons, would probably not have satisfied Bach’s own definition of a fugue as such, because of serious irregularities in the construction of their opening sections. These irregularities, however, make perfect sense as stages in the contrapuntal development of the work as a whole. They serve invariably as responses to what has come before and as preparations for what will follow. These relationships are described in detail below in the comments on the individual contrapuncti.

The four two-voice canons (numbers 12–15) are lighter in texture and mood than any of the other movements and are simpler in construction. Coming after the most complex of all the contrapuncti, and before the movements in which contrapuntal ingenuity is carried to its farthest extremes, they provide for performer and listeners a moment of repose. This makes possible a renewal of energy and of momentum towards the climax of the final movement. Many individual Bach organ fugues contain within their structure a similar “relaxed” passage, which serves a similar function of providing a breathing space before the final climactic musical gesture. (Measures 121–139 of the Fugue in C minor, BWV 546ii, and measures 141–155 of the Fugue in E minor, BWV 548ii, are particularly good examples of this.) This suggests that The Art of the Fugue should be thought of not as a collection of fugues, but as one structure analogous to a single giant fugue. Further facts bear this analogy out (assuming it is not pressed into too detailed a form). The first movements of the work introduce the main musical ideas in a straightforward way, as does the exposition of a fugue.

The middle movements of The Art of the Fugue develop those musical ideas and others, with increasing complexity, contrapuntal and harmonic, and with increasing variety of texture. This is similar to the middle section (sometimes called “development”) of many fugues, especially, longer ones. The four canons fulfill the purpose described above. In the final three movements harmonic complexity is reduced, and anything even approaching the almost impenetrable density of Contrapunctus 11 is abandoned. In Contrapunctus 17, the original theme is reintroduced in a form closer to the opening of Contrapunctus 1 than anything that has been heard since Contrapunctus 4. This is analogous to the return of the initial subject that characterizes the final section of many fugues. The extraordinary contrapuntal ingenuity of Contrapuncti 16 and 17 (see below) is analogous to the increase in contrapuntal complexity that is found at the end of many Bach fugues, usually in the form of stretto.

Neither the first edition of The Art of the Fugue nor any of the eighteenth-century manuscript copies say on what instrument or instruments the work was meant to be performed. Over the years many different performing forces have been used, including piano, chamber ensembles of various composition, symphony orchestra, jazz combo, harpsichord, and organ. Many scholars believe that Bach actually meant the work for organ, some that he meant it for harpsichord, even though the posthumous title page says neither. The first edition was published in open score, that is, with a separate line for each voice. This was an old Italian and German way of presenting keyboard music used, for example, by Samuel Scheidt in his Tabulatura Nova (1624). It was certainly not the standard keyboard notation in 1750, but Bach had used it shortly before, in his Canonic Variations, BWV 769. The contrapuncti all fit very well under two hands and two feet, and with some difficulty under two hands alone. The pedal parts work as pedal parts: that is, they can be learned using the kinds of pedal technique known to Bach and his students, and when so learned they are comfortable (though occasionally challenging) to play. This would not be true of the bass lines of Bach chamber works or harpsichord works, by and large. The editors of the first edition chose to include a short additional piece by Bach, to compensate the purchaser for the incomplete state of the last movement. The piece they selected was an organ chorale, which they also presented in open score. It is thus likely that they assumed that the users of the work would be organists, even though they did not say so on the title page. It is also quite possible that Bach himself wanted musicians to use their own judgment as to how the piece can be realized in sound.

B-A-C-H

The third subject of the last movement of The Art of the Fugue is made up of notes that, in the standard German musical nomenclature, spell the name “Bach” (Example 2). In the German system, B-flat is called B, and B-natural is called H. Bach was aware throughout his life that the letters of his name made a plausible musical theme—it was certainly known to his musical ancestors as well—but he used it sparingly in his music. The only extensive use he made of it was in The Art of the Fugue. The final appearance of the B-A-C-H theme as the subject of a powerfully climactic fugue in Contrapunctus 18 is prepared by a chain of musical developments running through the whole work. This chain is best followed retrospectively. Before Contrapunctus 18, the B-A-C-H theme appears in Contrapunctus 11. Here, the four relevant notes form part of a lively and insistent eighth-note motive (Example 3). They do not stand on their own, but they are clearly present. This eighth-note motive, however, is an inversion of one of the main themes of Contrapunctus 8. That movement is thus revealed to have contained the B-A-C-H theme in a highly disguised form. The motive also occurs in once in Contrapunctus 8, casually, without repetition or development, in the bass voice at measure 143, transposed up a whole step. The first appearance of the B-A-C-H theme in the work occurs at the end of Contrapunctus 4, where the four notes form part of an otherwise meandering free chromatic countersubject to the main theme. This serves to underline the essential chromaticism of the B-A-C-H theme, and to tie that theme to the other chromaticism in The Art of the Fugue. The seeds of the chromaticism in the work, and thus the seeds of the B-A-C-H motive itself, are found, as explained above, in the initial statement of the main theme. The four contrapuncti in which the B-A-C-H theme is found (4, 8, 11, and 18) are by a considerable margin the four longest movements in the work, and each of the four is longer than the last.

To be continued.

Exploring the unknown of BWV 565 Part 2

Michael Gailit

Michael Gailit graduated from the University of Music and Performing Arts in Vienna with both performance and pedagogy diplomas in organ as well as in piano. Teaching piano at this institute since 1980, he has also conducted the organ studio at the Musik und Kunst Universität in Vienna since 1995. As church organist he served at St. Augustine’s Church, 1979–2008; in 2011 he was appointed organist at the Jesuit Church (Old University Church).

Both in his performance and teaching repertoire, Gailit includes all style areas on the base of their individual performance practices. He toured with solo recitals on both instruments in Europe as well as in North America and appeared with leading orchestras and renowned conductors. Recordings, masterclasses, invitations to juries, musicological publications, editing sheet music, compositions, arrangements, supporting the piano-organ duo repertoire, commissioned works, first performances, and finally occasional trips into the theatre and silent movie repertoire should be noted.

Particular attention was received in 1989 for the first performance of the complete piano and organ works of Julius Reubke, the performance of the complete organ works of Franz Schmidt the same year, as well as in September 2005 a series of six recitals with the trio sonatas of Johann Sebastian Bach, the organ sonatas of Felix Mendelssohn-Bartholdy, and the organ symphonies of Louis Vierne. Currently Gailit is working on a book The Enigma BWV 565, a study elucidating new answers and new questions.

Ringk manuscript of Bach BWV 565

Editor’s note: Part 1 of this series appeared in the June 2021 issue of The Diapason, pages 18–19.

The analysis of the first twelve measures revealed a compositional technique that can most aptly be described as metamorphosis. The list of the motives that appear in BWV 565, given in detail in the first part of this article, shows how one motive becomes the other (Example 15). In the last consequence, the mordent motive creates all others. This evolutionary style of composition appears on all levels. The mordent creates what we called a nucleus idea, which in turn creates the next two phrases. A part of the nucleus idea creates the ascending triplets, which in turn develop into the descending triplets. The closing section varies measures 1 and 2 and ends with the mordent motive.

From three to four

The second section, measures 12 through 30, continues this concept, only that the focus changes from three-note motives to four-note ones. In order to achieve a smooth transformation, the section starts with an upbeat to a trichord. The following tetrachords are rhythmically shifted in the same way, so that they appear as trichords with upbeats. The passage also prepares the fugue theme that shows a very similar structure of four consecutive tetrachords. Pitch notation of the opening phrase of the first part had assisted to discover the 3 x 3 form of the nucleus idea. Pitch notation of the current phrase now reveals a 4 x 4 structure (Examples 16 and 17). Both lines add another 4 x 4 notes as inserted repetitions of the dominant tone.

Simultaneous notation of the immanent two voices in measures 13 through 15 helps to understand the process. Edition Peters gives the original text of the earliest manuscript. Bärenreiter and Breitkopf & Härtel in their Urtext editions align measures 14 and 15 by substituting measure 14 with the octave transposition of measure 15. As we observe now, this contradicts the overall concept of continuous transformation. Measure 14 quotes the nucleus idea; measure 15 prepares the next section by changing the ending with the surprise of an eighth-note rest on beat one of measure 16 (Example 18).

In 1845–1846, the complete organ works by Johann Sebastian Bach appeared in print for the first time. This release by Edition Peters is considered a milestone, due in part to the editorial policy of Friedrich Conrad Griepenkerl (1782–1849), which abstained from any amendments. The eighth-note rest at the beginning of measure 16, however, obviously came as too great a surprise to the editor. He replaced it with a manual D31 without any reference to a manuscript source. In view of the preceding three-fold thundering D2 on the pedals, the eighth-note rest is only one of the many skillfully calculated effects in BWV 565.

The motivic substance of measures 16 through 20 consists of the tetrachord and the turn motive. Both textures, the figurations as well as the syncopated chords, follow a harmonic progression commonly known as the Phrygian cadence.2 This harmonic pattern is frequently inserted after a slow movement in order to prepare the listener for a finale. The transition from Adagio to Allegro in a voluntary by John Stanley (1712–1786)—with quite similar motives as BWV 565—demonstrates this function (Example 19).

The Phrygian cadence in BWV 565 comprises four chords consisting of four motives, two tetrachords and two turn motives (Example 20). The middle voice can count for two as the doubling of these notes in the thirty-second-note figurations suggests.

The syncopated chords appear four times, with a different pedal phrase each time (Example 21). The evolutionary concept of motive metamorphosis in BWV 565 requires abstention from the editorial practice of unification, in this case to replace phrase 2 by phrase 1. In measure 17, the bass and tenor notes are exchanged. The tenor varies the tetrachord E–D–C–B-flat in a new way by placing the first note at the end and an octave lower.

Whereas the Phrygian cadence aims to the last note in measures 16 through 18, its third and fourth appearances in measures 19 and 20 shifts the accented beat to the second note. This gives room for another chord on the last eighth-note beat in measure 20. On this beat, the new note of a G-sharp surprises; it gives the base for another diminished seventh chord. The G-sharp descends to the dissonance G-natural of the dominant seventh chord that spans over five more measures to be resolved only in measure 27.

Pitch notation shows that the run in measure 18 is a variation of measure 11, with some added notes (Example 22). It consists of a collection of the prime suspects—three tetrachords, a mordent, and a turn motive. Also, the arpeggio appears, this time following the tonic chord.

The passage ends in measure 19 with a scale comprising the complete tone material including the B-natural. This run is repeated in measure 21 without the passing notes (Example 23).

Four descending tetrachords run into a halt on the diminished seventh chord, before a prestissimo tremolo breaks loose. The toccata returns here to triplets and the mordent, whose intervals are stretched to thirds, with alternating upper and lower neighbor notes. The pedal surprisingly takes on a melodic role, worthy of the designation Recitativo. With the exception of the final cadence, the pedal lines up ten seconds, the last one repeating the first (Example 24).

Probably just a coincidence: we discover the first six notes of the pedal line in the Advent hymn, Nun komm, der Heiden Heiland (Example 25). More striking is that the pedal line cites the nucleus idea in the form of the second phrase in measure 1 (Example 26). The manual parts, note repetitions, and voice doubling omitted, consist only of seconds, which in turn are condensed tetrachords (Example 27).

The purpose

On the second page of Ringk’s manuscript, the last four staves are left blank. The fugue begins on a new third page. Ringk wrote, “Verte. Fuga.” (in Latin: Turn! Fugue.) below the final cadence on page 2. So before we turn the page and continue with the fugue, let us look at what has happened so far. BWV 565 is a work that undoubtedly attracts attention. So what was the purpose of the composition; why was it created? We need to leave the objective path of note-by-note analysis here. The meaning of a text cannot be grasped comparatively by counting the letters or discussing grammar and spelling.

Measures 16–17 and 19–20 were the first to open a new perspective. As mentioned earlier, we often find the harmonic pattern of the Phrygian cadence by default as a bridge between a slow movement and the following finale, as a musical announcement, and to increase the tension that a finale or something similar is to be expected. In measures 16 and 17, the Phrygian cadence is repeated four times, but it remains without consequence. After an extended run, the cadence is repeated again, a full three times, and it again remains without consequence. Is this a joke? A prank?

The impression is reinforced by the inverted echos of the section. It is in the nature of an echo that the return sounds weaker. However, in the Phrygian cadential measures in BWV 565, the reverse is true. The harmonic pattern is introduced with a thin texture of broken chords, only to be answered with heavy chords above a pedal line, plus hammering syncopations. Is this a provocation?

Flawless part-writing includes avoidance of parallel octaves and fifths. Let us imagine a student, required to submit a clean four-part piece, presenting the strict teacher something hitherto unheard like BWV 565. Seated at the organ console, the teacher begins to play. On the first page parallel octaves as far as one can see. The first note isolated, nailed with a mordent and a fermata, immediately followed by a rest. Short phrases, constantly interrupted with more rests. Laughter in the background, when the teacher has to take note that his organ is missing the bottom C-sharp. Broken chords are based on parallel fifths. In the pedal, there are only three roaring Ds, above them long-held quadruple dissonances. Then one finds a run pointing to a D, but silence instead. The inverted echoes startle. The Phrygian cadence remains without consequence, sounding seven times in vain.

There is no evidence whatsoever that BWV 565 was intended as a joke or prank, just as a joke does not have the caption, “This is a joke.” The nature of a text can be discerned from its content and setting alone. The amazing thing about this theory is, however, that it can answer all hitherto raised questions, among them:

• Only one copy of the autograph survived, some of the notation is only sketched: BWV 565 was intended only for private use and not for publication.

• All compositional features described as problematic: deliberate violations of the rules to show a new style.

• Bach named as author on the title page, the work possibly not by Bach: the most plausible explanation for this contradiction.

• The wrong key signature on the title page “ex . d . # .:” one cannot seriously claim that someone copied a multi-page piece in D minor and the same person mistakenly writes D major on the title page. Furthermore, Ringk notated minor keys adding a flat to the key letter, major keys adding a natural, not a sharp. The sharp could be a hint pointing to the unusual content, which is so-to-speak not natural, but sharp. In German, the word for sharp is Kreuz, which conveys the saying, ein Kreuz haben, having problems with something or someone.

• The simple composition style: simplified overdrawing as a device of parody.

• The low C-sharp in measure 2 being a rare key on organs of the time: deliberately pointing to the deficiency of a missing key.

• The late Peter Williams’s theory of a lost piece for violin: an allusion to J. S. Bach’s skills as a string player.

Following this theory, somewhere at an early stage someone took the piece as serious. The consequences are outrageous and at the same time incredibly humorous. It is singular that BWV 565 beats any other organ work in popularity. Then there are also all the discussions about the deliberately composed “misbehaving” features, if they can be credited to Bach or not. It is a work brilliant on several levels: as a provocation, fun, or a prank with a highly skillful compositional technique not common in Baroque music, but pointing to the future.

This theory may or may not be the case, but the journey into the unknown of BWV 565 is far from over. We now turn the second page of the manuscript and explore not only the fugue, but also lift the anchors on some findings that are considered certain. Stay tuned.

To be continued.

Notes

1. Note designations in scientific orthography: C2-C3-C4-C5-C6 (= traditionally C-c°-c′-c′′-c′′′).

2. The Phrygian church mode has the half-tone step between the first and second and the fifth and sixth scale degrees. Church modes, however, are melodic, not harmonic entities.

Exploring the unknown of BWV 565, Part 4

Michael Gailit

Michael Gailit graduated from the University of Music and Performing Arts in Vienna with both performance and pedagogy diplomas in organ as well as in piano. Teaching piano at this institute since 1980, he has also conducted the organ studio at the Musik und Kunst Universität in Vienna since 1995. As church organist he served at Saint Augustine’s Church, 1979–2008; in 2011 he was appointed organist at the Jesuit Church (Old University Church).

Both in his performance and teaching repertoire, Gailit includes all style areas on the basis of their individual performance practices. He toured with solo recitals on both instruments in Europe as well as in North America and appeared with leading orchestras and renowned conductors. Recordings, masterclasses, invitations to juries, musicological publications, editing sheet music, compositions, arrangements, supporting the piano-organ duo repertoire, commissioned works, first performances, and finally occasional trips into the theatre and silent movie repertoire should be noted.

Particular attention was received in 1989 for the first performance of the complete piano and organ works of Julius Reubke (1834–1858), the performance of the complete organ works of Franz Schmidt (1874–1939) the same year, as well as in September 2005 a series of six recitals with the trio sonatas of Johann Sebastian Bach, the organ sonatas of Felix Mendelssohn-Bartholdy, and the organ symphonies of Louis Vierne. Currently Gailit is working on a book, The Enigma BWV 565, a study elucidating new answers and new questions.

Johann Sebastian Bach

Editor’s note: Part 1 of this series appeared in the June 2021 issue of The Diapason, pages 18–19; part 2 appeared in the July 2021 issue, pages 12–14; part 3 appeared in the December 2021 issue, pages 16–18.

Part 4 completes the note-by-note investigation of Toccata con Fuga ex d, BWV 565, of Johann Sebastian Bach.1 After initial observations, the author set the goal of tracing and describing motivic processes throughout the piece, not foreseeing the dimensions of the project.

This survey ended in part 3 with the entry of the fugue theme in measures 70 through 72. Probably intended, both the midpoint of the fugue entry in these measures as well as the midpoint of all 143 measures converge on the same third beat of measure 71.

From beat 3 of measure 72, a bridge of four beats opens the longest interlude that occupies the next fourteen measures. With measure 72 in the restored version,2 the bridge is created almost entirely with the tetrachord.3 In the second half of measure 72, we observe applied motive splitting, in which the first four notes of the fugue theme appear as an independent motive. This mordent motive consists of the mordent as an upbeat to a target note on the downbeat. Showing a subtle gradual process, the first appearance shares the downbeat note F3 with the tetrachord group above, becoming then fully independent with all four notes in the second appearance (Example 47). The new motive will return in the closing recitativ part, assuming a significant role.

Suspense and action

Ten of the fourteen measures of the interlude contain repetitions of arpeggios in a persistent one-voice texture. Does this prove that the piece is inferior in quality as some critics have suggested? Indeed, no! The composer intended to set experimental textures in contrast to each other, instead of taking the well-beaten path of the learned polyphonic style. The interlude, together with the following theme entries, could hardly have been better designed to create suspense. In a movie scene, for example, the background music first becomes gradually quieter and simpler. It then lingers on one note at the end, until suddenly some unexpected action is in full swing. Like an experienced movie director, the composer of BWV 565 proved to be a master of suspense in this interlude. The figurations are placed in the somewhat weaker middle register, only to sink ever lower and become softer toward the end. The harmony oscillates between the tonic and dominant, finally retreating entirely to the tonic. The scene is devoid of any developed motives, as we sink further into the key of D minor.

A turn motive leads into measure 84 where the motivic substance with four descending tetrachords returns. These foreshadow the action in measure 85, where scales of two consecutive tetrachords rush upward twice (Example 48). Only the chromatic shift from F to F-sharp leading to G is needed to announce the theme in C minor, presented in the pedal. The alto voice prolongs the action with an immediate entry in the same key. Long trills enhance the thrill.

The interlude from the second half of measure 90 until the next theme entry in measure 93 is filled completely with tetrachords in all three voices. In Example 49, the motives are presented as eighth notes, omitting the inserted “step” notes to better display the structure. The top voice repeats the figuration from measure 54, except that the four-fold sequence now proceeds downward. In the first half of measure 92 two tetrachord variants switch the voices after only two notes.

In measure 94, several editors have added an A3 to the upper line on the last sixteenth-note beat. The C4, however, already serves as a passing note between B-flat3 and D4. Adding an A3 would result in parallel octaves with the bass. Furthermore, adding an F-sharp3 turns C4 into a dominant seventh requiring a resolution a step downward to B-flat3 (Example 50).

Measures 100 and 101 surprise us with a four-part texture for manuals only. The awkward voice leading requires a well-considered fingering, perhaps more than anywhere else in the piece. It may be that the composer never fully decided whether or not to assign the bass line to the pedal. At least the four quarter notes (which form a tetrachord variant) could conceivably be assigned to the pedal. The jump from the manual sixteenth-note group to the pedal quarter notes, however, is not entirely convincing (Example 51).

Before D minor returns with theme entries in all four voices, an extensive interlude develops the nucleus. Examples 52 and 53 show the many variants and how and where they appear. Motives related to the nucleus are colored red, tetrachords and its variants green, and the remote relatives blue. Gray boxes underline the mordents.

In the interlude section of measures 115 through 119, the trichord returns, alternately ascending and descending within the figurations (Example 54). Forming a climax in measures 120 and 121, trichords are sequentially combined with tetrachords, the latter taken from the fugue theme (Example 55).

In measure 122, the last entry of the fugue theme is ingeniously preceded twice by the complete nucleus (Example 56). The green notes mark the transitional section where the nucleus becomes the fugue theme. After all this intense motivic-thematic work, only two consecutive cadences in the penultimate measure 126 are required to conclude the fugue and to end with a deceptive cadence on a B-flat major chord.

The Recitativ

The final section in the Ringk manuscript starts on a new page and spreads over two pages. Unfortunately half of the heading has been cut off. With the use of the letters “e,” “c,” “i,” “t,” and “a” from the title page, the upper case “R” from a signature entry, and the lower case “v” from the designation Vivace, the heading may be reconstructed (see gray area). Suddenly Recitativ, rather than Recitativo emerges from the manuscript (Example 57).

The recitativ opens with passagework that is entirely based on tetrachords. The red notes in Example 58 reveal the presence of the mordent.

The “Adagissimo” in measure 130 stops on the third note of a tetrachord. Instead of progressing to F4, the expected F surprisingly jumps to the bass, interrupting the resolution of C-sharp to D. It creates an expressive four-fold dissonance with the diminished-seventh chord, a reminiscence of measure 2. A pedal solo recitative leads into a six-four chord in A minor, which in turn is transformed into a six chord in C major by the tetrachord of the first four notes of the nucleus. A performance suggestion to add a mordent on the A3 would serve as a helpful reminder to the performer (Example 59).

The run spanning measures 133 and 134 develops the mordent motive. In addition, all of the notes on the same beats form trichords and tetrachords (Examples 60 and 61).

In measure 136 we discover the retrograde form of the nucleus (Example 62), and in measures 138 and 139 the retrograde form of the B-A-C-H motive. Five descending tetrachords create the framework of the seven closing measures (Example 63).

Startling truths

The note-by-note analysis has revealed two startling truths:

• BWV 565 was composed throughout with a compositional technique called thematic work (thematische Arbeit).

• Measured against Baroque compositional practice, the composer of BWV 565 preferred experimental textures with contrasting character instead of the traditional techniques of Baroque counterpoint.

Therefore, we must conclude that:

• BWV 565 was in all probability not composed by Johann Sebastian Bach. The compositional technique of motivic-thematic work emerged after his death in German and Austrian countries during the second half of the eighteenth century. As a musical term, it was first defined in 1802 by Heinrich Christoph Koch, and Joseph Haydn (1732–1809) has long been considered the first composer to develop the technique.

• There is not a single piece in Bach’s huge œuvre that uses motivic-thematic work, especially to this extent. It is also highly unlikely that he wrote an experimental piece contrary to his musical beliefs, which also anticipates a compositional style first described decades later.

• Pejorative criticism is based on misunderstanding—BWV 565 is anything but youthful or immature. The opposite is true. It has been so skillfully composed that its true nature has remained overlooked for centuries.

• Although BWV 565 may resemble Baroque textures such as the stylus phantasticus, there is not a single example of stylus phantasticus where the parts relate to each other so extensively on a motivic-thematic basis.

• BWV 565 deserves a prominent place in music history, since it may represent the first example of a piece continuously based on motivic-thematic work.

• Whoever composed BWV 565 anticipated distinctly several compositional principles of the Classical era.

Part 5 of this article will further explore these startling assertions, and Part 6 will present an answer to the question, “Who else?”

To be continued.

Notes

1. Pianist-musicologist Dr. John Strauss of Luther College, Decorah, Iowa, was of invaluable help in providing dedicated advice and assistance to the author in the completion of this text.

2. The Diapason published the restored version of measure 72 in “The fitting filler for the fugue,” by Michael Gailit, January 2021, page 17.

3. Tetrachord is the Greek term for four consecutive notes in one direction. The motivic development in BWV 565 occasionally changes the form of the tetrachord. The nature of the compositional style allows for application of this term for all note combinations whose material consists of four consecutive notes, no matter in which order they appear. However, the basic shape of the stepwise progression in one direction should be recognizable.

J. S. Bach’s Organ Music and Lutheran Theology

The Clavier-Übung Third Part

Michael Radulescu

Michael Radulescu, born in Bucharest, Romania, studied organ and conducting in Vienna at the Academy (now University) of Music and Performing Arts where he taught as professor of organ from 1968 to 2008. His career encompasses work as a composer, organist, and conductor. Since his debut in 1959 he has presented concerts throughout Europe, North America, Australia, South Korea, and Japan. He regularly gives guest lectures and masterclasses in Europe and overseas, focusing mainly on the interpretation and elucidation of Bach’s organ and major choral works.

As a composer, Radulescu has written sacred music, works for organ, voice and organ, choral and chamber music, and orchestral works. He is also in demand as a jury member in international organ and composition competitions and as an editor of early and ancient organ music. Radulescu conducts international vocal and instrumental ensembles in performances of major vocal works. As an organist, he has recorded among other things Bach’s complete works for organ, without any technical manipulation.

For his musical and pedagogical contributions Radulescu was awarded the Goldene Verdienstzeichen des Landes Wien in 2005. In 2007 he received Würdigungspreis für Musik from the Austrian Ministry of Education and Art. In December 2013 Michael Radulescu’s book on J. S. Bach’s spiritual musical language, Bey einer andächtig Musiq . . .,
focusing on the two Passions and the B Minor Mass was published.

Default

When approaching Baroque music in general and spiritual music in particular, it is of greatest importance to take into consideration the fundamental difference between the function and the aims of music in the Roman Catholic rite and the Lutheran conception of music. While Roman Catholic music mainly embellishes and adorns the liturgy, Lutheran music wants to preach, to impress, to move, to convince every single listener. Whereas the mystery of the Canon is at the center of the Roman Catholic Mass, the announcing and the elucidation of the Word of God, spoken by the minister and sung or performed by the church musician, stand at the core of the Lutheran Divine Service.

From this dichotomy results the overwhelming importance of rhetoric, of the musical speech (Klangrede) in Lutheran music. Both the ancient rules of rhetoric and the use of the rhetorical-musical figures determine respectively the overall formal concept of a work as well as the invention of characteristic “speaking motifs.”

In the case of J. S. Bach’s music, however, there also seems to be a more subtle, profound, and hidden means of communicating a message, an interpretation of a text. This happens through the ample use of symbols such as allegories, certain characteristic motifs and specific numerical ratios between different sections of the overall formal concept of a piece, and also, most controversial of all, as numerological entities. The latter aspect has been both heartily emphasized and strongly questioned and even ruled out by scholars and practical performers in recent decades. Nevertheless, a surprising hint at the possibility of Bach’s interest in the use of the “numeric alphabet” seems to be, among others, the theoretical work called Cabbalologia by Johannes Henningius (Johann Henning), published in Leipzig in 1683. This publication is said to have been found also in the famous private library of Bach’s neighbor and colleague Johann Heinrich Ernesti, former rector of Saint Thomas Church in Leipzig.

I

Bach published the Third Part of his Clavier-Übung for the feast of Saint Michael at the end of September 1739 on the occasion of the bicentenary of the Lutheran Reformation in Leipzig. This collection of keyboard compositions is generally known under the titles “The Organ Mass” or “The Dogma Chorales,” neither of which can suggest the complex meaning and the message of the entire opus.

It should be remembered that when Luther introduced his Reformation in Leipzig in 1539 he preached on Pentecost Monday in the Leipzig Pleissenburg Castle on two most crucial themes: the Mystery of the Trinity in the Lutheran Mass and the Lutheran Catechism. Most significantly, Bach takes both these theological categories into consideration and, obviously referring to Luther’s sermon of 1539, treats them consistently in his Third Part of the Clavier-Übung. Of the total of twenty-one chorale settings in the collection, the first nine deal with the Lutheran Missa brevis (which includes only the “Kyrie-Christe-Kyrie” and the “Gloria”), while the remaining twelve chorales follow exactly, chapter by chapter, Luther’s Catechism of 1529.

Seen as a whole, the entire Clavier-Übung III seems to suggest a most striking resemblance to Bach’s own organ improvisations as described by his first biographer, J. N. Forkel, in 1802:

a) a great prelude and fugue in Organo Pleno as an opening;

b) a long series of different kinds of chorale settings with a varying number of parts;

c) a great fugue in Organo Pleno at the end.

In Bach’s Clavier-Übung III, these correspond to the following sections:

a) the E-flat Preludium in Organo Pleno also containing the two fugal sections;

b) the 21 chorale settings in 3, 4, 5, or 6 parts, as well as four duettos;

c) the E-flat Fugue in Organo Pleno.

Two further allusions to the Trinity are most interesting in the overall plan of the entire collection. These are manifest already in the title, “Third Part of the Clavier-Übung,” and also in the use of the majestic key of E-flat major, with its three flats in the signature, for both the opening Prelude and the closing Fugue. Also striking is the fact that both the Prelude and the Fugue appear to be determined by the number 3 (three main musical ideas in the prelude and three themes in the triple fugue).

Another obvious hint at the Trinity is the fact that the first 9 chorales dealing with the Lutheran Mass are organized in 3 groups of 3 each: 3 “great” settings for Kyrie-Christe-Kyrie, 3 “small” alio modo settings for the same cantus firmi Kyrie-Christe-Kyrie, and 3 settings for the German Gloria, “Allein Gott in der Höh’ sei Ehr.”

The remaining 12 chorales, which follow Luther’s Catechism, are arranged by 3 + 3 groups of 2 each, the first group dealing with the 3 main chapters of the Catechism (The Law of the Lord = The Ten Commandments, The Creed, and The Prayer of the Lord = The “Our Father”), and the second with the 3 chapters concerning the Sacraments and the Penitence respectively (Baptism, Penitence as continual renewal of Baptism, and the Communion). Each of these cantus firmi is treated twice, in a “great” version with pedal and in a “small” version without pedal, mostly in another key.

It has often been suggested that these two contrasting versions may allude to Luther’s “Great Catechism” versus its reduced form, the “Small Catechism” for younger and “more modest people.” This double treatment of the “catechism settings,” however, seems also to allude to the double form of liturgy: as the great, official one “in churches,” versus its “small,” intimate, personal form “at home,” within each Christian family. Interestingly enough, this dualism appears also in the original subtitle of the Clavier-Übung III dedicated to both amateurs (Liebhaber) and connoisseurs (Kenner).

II

The opening Praeludium pro Organo pleno, Bach’s largest organ prelude, suggests, in spite of the original slurring of the dotted rhythms of its beginning, the pattern of a French overture:

a) majestic homophonic section with dotted rhythm, measures 1 to 70;

b) Fugato section, measures 71 to 97;

c) majestic homophonic section with dotted rhythm, measures 98 to 129;

d) Fugato section, measures 130 to 173;

e) majestic homophonic section with dotted rhythm, measures 174 to the end.

The three different musical ideas used by Bach seem to illustrate in a marvelous way the three Persons of the Trinity:

1. majestic five-part homophonic section for God the Father (Example 1);

2. transition passage with staccato notes suggesting drops of tears (as in the Passions and in several cantatas) and a plaintive theme in the right hand, full of suspensions and chromaticisms and going to the “extreme” keys B-flat minor and E-flat minor, respectively (musical-rhetorical figure of parrhesia), suggesting the human sufferings, the Passion and Death of God, the Son (Examples 2 and 3);

3. The fugal sections using the most spiritual writing, the fugue, and a theme which by its shape (musical-rhetorical figure of hypotyposis) suggests the movement and the shape of the flames, the fire of God, the Holy Spirit (Example 4).

III

Considering the 9 chorale settings of the Missa brevis, the great “Kyrie-Christe-Kyrie,” the small “Kyrie-Christe-Kyrie,” and the 3 “Allein Gott” settings, one notes the following characteristics:

• The first three settings of the great “Kyrie-Christe-Kyrie” are written in the ancient vocal, a cappella style, the stylus gravis, using the so called white notation (breves, whole notes, half notes, quarter and, more rarely, eighth notes as note values). According to Bach’s cousin
J. G. Walther the stylus gravis is “majestic, serious . . . and best appropriate to elevate the human soul to God.”

• The respective cantus firmus descends within this first triad from the soprano in Kyrie, Gott Vater in Ewigkeit (highest part ~ God Father as the Highest) into the tenor in Christe aller Welt Trost (middle part ~ God the Son as the Mediator) and finally into the pedal-bass in Kyrie, Gott, heiliger Geist (bass part ~ God, the Holy Spirit as the universal Basis). This katabasis, i.e., “descending movement,” suggests the descending of God’s mercy upon us and depicts the “eleison” (“have mercy”).

• The tenor cantus firmus in Christe aller Welt Trost stresses the idea of Christ as the Mediator between God and Man, as strongly emphasized by Luther.

• The bass cantus firmus in Kyrie, Gott, heiliger Geist, on the other hand, represents the fundamental Lutheran idea of Justification through the power of Faith; the text of the chorale also prays for “the reinforcement of our Faith.” The final section of this setting, “eleison,” is excruciatingly dissonant, once again stressing human misery awaiting God’s mercy.

• The total number of measures of all three large chorale-settings is a primary, indivisible number:

Kyrie (42 measures) + Christe (61 measures) + Kyrie (60 measures) = 163 ~ indivisibility of the Holy Trinity!

• The three small settings of “Kyrie-Christe-Kyrie” strongly contrast with the preceding three works. The cantus firmus is only hinted at by quotation of its first phrase. Their writing is manualiter, without pedal, and in a soft “cantabile clavier style.” This might suggest love and the soft breath of the Holy Spirit by its “cantability.”

• All three small settings end modally on an E-major chord.

• The time signatures of all these 3 chorales also allude to the Trinity, being “progressions” of the number 3: 3/4; 6/8; 9/8 (= 1 x 3/4; 2 x 3/8; 3 x 3/8).

• The three Allein Gott in der Höh’ sei Ehr settings fulfill a wonderful anabasis (ascending movement) by the sequence of their keys: following the small “Kyrie-Christe-Kyrie” settings ending all on E major, they rise up to F major, G major, and finally to A major, thus obviously alluding to Gloria in excelsis (Allein Gott in der Höh’/“Glory to the Lord in the Highest”).

• All three settings are trios and written in an “instrumental keyboard style,” the first and the last in a brilliant, light style, the second à 2 Claviers et Pedale imitating violins or flutes accompanied by a basso continuo in the pedal.

• The G-major trio on “Allein Gott” seems to stress Jesus’s role as Lamb of God, alluding to the third stanza of the chorale, “Lamb of God, holy Lord and God, accept the prayer of our misery,” by citing these two verses in canon, a most simple symbol for “one part following another part:” first between the right hand and pedal in measures 78 to 83, and in measures 87 to 92 between the left hand and pedal, and thus alluding to the Gospel of John, 1:29–30: “The next day John seeth Jesus coming unto him, and saith, Behold the Lamb of God, which taketh away the sin of the world. / This is he of whom I said, After me cometh a man which is preferred before me: for he was before me” (Example 5).

IV

The density and complexity of Bach’s dealing with the theological message through music is most impressively revealed in the settings of chorales treating the main chapters of Luther’s Catechism: the Ten Commandments, the Creed, and the Lord’s Prayer.

The large setting of Dies sind die heil’gen zehn Gebot is written in five parts distributed on two manuals and pedal. The cantus firmus is carried out as a canon between the two tenor parts played by the left hand while the right hand plays the two free upper parts. Surprisingly, these free parts never imitate or cite the cantus firmus.

Most interesting is the fact that in Bach’s treatments of this cantus firmus (Orgelbüchlein, the cantata BWV 77 Du sollst Gott, deinen Herrn, lieben, and the two settings in the Clavier-Übung), he uses the same key, Mixolydian on G, the “pure” key without accidentals in its signature. Never does this cantus firmus appear transposed: this obviously suggests the “immutability of the Divine Law.” Most consistently, the treatment of the cantus firmus as a canon also evokes the “severity of God’s Law.”

A further symbolic meaning of the musical texture is the setting of the canonic cantus firmus in the two middle parts, which clearly refers to Luther’s commentary in his Catechism, regarding the way to keep the Divine Law through “Christ’s the Mediator’s Intercession.”

The beginning of the chorale is most serene, diatonic, and calm, and takes place over an organ point in the pedal. After four measures of “complete harmony” the character changes in the fifth measure: the alto plays a “harsh” descending chromatic figure (the figure of parrhaesia) while the soprano plays three times a “sighing figure” consisting of a sixteenth rest followed by three sixteenth notes, and followed by two groups of stepwise descending eighth notes (Example 6).

This seems to be a strong allusion to the Book of Genesis describing the Garden of Eden (= full harmony~4 measures) and Adam’s Fall in the fifth measure (Adam in Hebrew meaning man and being symbolized, according to Andreas Werckmeister, by the number 5 for man’s 5 senses, 5 fingers and toes, and also hinting at Jesus’s 5 wounds on the Cross).

Interestingly enough, this “sighing” figura suspirans is played by the two upper parts during the whole piece exactly 33 times, reminding of the 33 years of Jesus’s earthly life.

From measure 6 on this figure appears also “transformed” into another figure called kyklosis or circulatio and suggesting a “turning around,” an “insecurity” or, as in our case, a great joy.

This “transformation” of suffering (“sighing figure”) into joy (“turning around in joy”) perfectly matches Luther’s commentary about the Commandments, stressing that those who keep the Law apparently suffer in this earthly world, but that through Christ they shall live in joy.

Luther also considers the First Commandment as being the most important of the Decalogue. It is this very commandment that is cited in the second stanza of the cantus firmus, the stanza to which the great chorale setting seems to allude the most: “I alone am your God and Lord. Thou shalt not have other gods; thou shalt love me from the bottom of your heart. Kyrieleis.”

It is when the cantus firmus expounds the phrase “Thou shalt not have other gods” that the pedal plays a “huge” and “exaggerated” interval of two octaves,
C – c′ (the figure of hyperbole = exaggeration) and obviously referring to God’s immensity (Example 7).

Astonishing is the fact that the motif of measures 47 and 48 appears altered in measures 51 and 52, transformed insofar as it is now divided between the two upper parts: one part continuing the other, and thus suggesting the idea of “two parts becoming one” (the figure called heterolepsis = meaning this continuity, the unification of two parts, i.e., love, as described by J. G. Walther). It is striking to note how often Bach makes use of this figure when alluding to love, to unification in and through love. Not surprisingly, this figure appears in our chorale setting only two times, exactly where each of the two canonic cantus firmus parts play the notes for lieben mich (love me); as one can easily see in the “transformed” version, the motive is played by two “unified” parts according to the text line “Thou shall love me” (Example 8).

If we take a look at the pedal part we note that it is divided into several sections either by rests or by the recurring long organ point on A in measure 29. A most intriguing and striking speculation presents itself in this context when considering the number of notes of each of these sections:

a) measure 1 to 10 = 37 notes

b) measure 10 to 20 = 60 notes

c) measure 21 to 28 = 47 notes

d) measure 29 to 55 = 147 notes

e) measure 56 = 5 notes

f) measure 57 = 5 notes

g) measure 58 to 60 = 14 notes

 

a) Could 37 represent the monogram JCHR for Jesus Christ? (the number alphabet with the correspondence between the letters of the alphabet and the natural numerical order: A = 1, B = 2, C = 3, . . ., Z = 24, with I = J and U = V as in old Latin: J (9) + C (3) + H (8) + R (17) = 37);

b) Could 60 allude to the Old Testament, to the 6 Days of God’s Creation, and also to the 10 Commandments = 60?

NB! Bach occasionally uses the number 6 as allegory for the Creation, for the Entire World (also Orgelbüchlein: Christum wir sollen loben schon, measure 6, where the whole range of the organ is encompassed by the lowest C in the pedal and the highest C in the treble part).

NB! Luther always sees and treats the Old Testament considering the New Testament and vice versa.

c) Could 47 recall the 47th Psalm, mentioned by Luther in his Great Catechism: “O, clap your hands, all ye people; shout unto God with the voice of triumph. / For the Lord most high is terrible; He is a great King over all the earth”?

NB! This third section of the pedal starts in measure 21 where the cantus firmus plays the phrase “Thou shalt not have other gods.” Also, it is here where the pedal plays the enormous, exaggerated interval of the double octave, which also perfectly matches the second verse of Psalm 47.

d) Could 147 recall the 11th verse of the 147th Psalm: “The Lord taketh pleasure in them that fear Him, in those that hope in His mercy”?

NB! Luther himself quotes Ps. 147, 11 in his Catechism, in the chapter dedicated to the Ten Commandments. This could make the assumption mentioned above quite plausible!

e) & f) Could the number 5 possibly allude in this context to mankind (five senses; the five wounds on Jesus’s crucified body) as “the Old” vs. “the New Man”?

g) 14 might well suggest Bach’s own name (B [2] + A [1] + C [3] + H [8] = 14) as his personal commitment as a believer, as the pro me (= “for me”), a central point in Luther’s theology.

Another interesting symbolic connotation is suggested by the general form of the chorale setting. The total of 60 measures is clearly divided into two unequal sections considering the sort of “recapitulation” of the beginning, in measure 29:

28 measures (= 7 x 4) + 32 measures (= 8 x 4) = 60 measures, or 28 : 32 = 7 : 8.

Could 7 allude to the seven days of the week, of the 6 + 1 days of the Creation of the earthly world and 8 to the eighth day (the day of Messiah)? Could this overall form and its “articulation” transmit the message of Redemption?

The “small,” manualiter version of Dies sind die heiligen zehn Gebot seems to have a more obvious, more straightforward approach to the text. It is a fughetta using the theme in both normal and inverted position. The gigue-like theme is characterized by the strongly repeated notes at its beginning and by strong leaps followed by stepwise passages. It is most interesting to note some aspects of this piece:

1) the title in the original print from 1739 is Dies sind die heiligen zehen Gebot consisting of exactly 10 syllables (Ten Commandments?)

2) the repeated G in the theme appears 14 times (BACH’s commitment? See above).

3) the theme appears 4 times in normal, 4 times in inverted, and again 2 times in its normal forms, i.e., 4 + 4 + 2 = 10 times (see above).

4) there is quite a long interlude without the theme between measures 18 and 31, lasting 14 measures (see above).

V

The large chorale setting dealing with the Creed, Wir gläuben all’an einen Gott (Schöpfer) is striking because of its dynamism, abundant syncopations, “modern” 2/4 time signature, constant movement in sixteenth notes, and lack of organ points in the pedal, by the six times of the pedal ostinato, and the flamboyant movement of the manual parts. The theme treated in the manual is rooted in the first phrase of the cantus firmus, and it is this very phrase that appears literally quoted in the tenor in the last 12 measures of the piece. The overall flamboyant, dynamic character of this setting might be surprising, but it seems in perfect coherence with Luther’s idea of a willful, powerful, and passionate personal commitment of each believer aiming to attain personal justification.

Some characteristics of this composition might elucidate its possible further message:

a) the total of exactly 100 measures of the piece might suggest the idea of the totality of the Creation (Gott Schöpfer = God, the Creator);

b) the 6-fold appearance of the pedal ostinato might hint at the 6 “working” days of God’s Creation (see above);

c) the quotation of the first cantus firmus phrase in the tenor, starting in measure 89 might allude to Christ as the Mediator;

d) the last pedal entry is longer than its other entries and has exactly 43 notes; this may well mean: (C [3] + R [17] + E [5] + D [4] + O [14] = 43: CREDO) “I believe.”

NB! Interestingly enough, the score of the first Credo chorus in the B Minor Mass shows the word “Credo” written 43 times and heard 41 times, i.e., J-S-B-A-C-H’s creed.

The small version of the same chorale is written as a short manualiter fughetta in the style of a brilliant French overture. This surprising setting can be seen as an introduction to the large version of The Lord’s Prayer, Vater unser im Himmelreich, written in the same key of E Dorian. More likely, however, it also seems to have the function of dividing the whole set of 21 chorales into 12 + 9. One should remember that, on the other hand, the 21 chorales are also divided into 9, dealing with the Lutheran Mass, and 12, treating Luther’s Catechism and the Sacraments. A very beautiful parallel, indeed!

VI

The large version of Vater unser im Himmelreich is possibly Bach’s most difficult and intricate organ work. It is written in 5 parts distributed once again among the two manuals and the pedal, with the cantus firmus in canon. Unlike the Ten Commandments however, each hand here plays a free voice and a canonic cantus firmus part.

Some characteristics may help understand and elucidate the enormous complexity of this composition:

a) the slow, majestic tempo in the 3/4 time signature suggests the austere character of a slow sarabande;

b) the pedal is treated as a basso continuo without quoting the cantus firmus;

c) the cantus firmus is treated in canon suggesting our intimately repeating the prayer spoken by Jesus according to Saint Mark and Saint Matthew;

d) the alternating order of the canonic parts at each new entry seems to suggest a still dialogue between the believer and Jesus;

e) the free manual parts are based on a theme quoting the richly embellished first phrase of the cantus firmus (Example 9);

f) each hand expounds this theme 3 times, alluding probably once more to the Trinity;

g) the two free manual parts display an enormous rhythmical richness with frequent use of the “plaintive” Lombard rhythms and the staccato triplets (Example 10);

h) this “plaintive” Lombardian rhythm and the overall rhythmical complexity seem to depict Luther’s comment on The Lord’s Prayer expressing the “multitude of human miseries;”

i) the staccato triplets obviously describe Saint Matthew 7:7: “Ask and it shall be given to you; seek and ye shall find; knock and it shall be opened unto you.” As a matter of fact, this very verse appears quoted in practically all older Lutheran hymn books on the page where the chorale Vater unser im Himmelreich is printed. The staccato triplets may also allude to drops of tears;

j) there is only one spot where the pedal quotes the “plaintive” Lombardian rhythm and this happens in measure 41 (J [9] + S [18] + B [2] + A [1] + C [3] + H [8] = J. S. BACH), alluding to the composer’s personal commitment.

After this extraordinary piece, the alio modo manualiter version of the same cantus firmus is a simple, quiet meditation on the Prayer, devoid of all further speculative symbols.

VII

Following Luther’s Large Catechism exactly, Bach now treats the Sacraments of Baptism in Christ, unser Herr zum Jordan kam, Penitence in Aus tiefer Not schrei ich zu dir, the latter considered by Luther as the continuation and constant renewal of baptism, and finally the Sacrament of Communion in Jesus Christus, unser Heiland.

The large version of Christ unser Herr zum Jordan kam treats Jesus’s baptism as described in Saint John, Chapter 1. The piece is set for two manuals and pedal with the cantus firmus in the latter, the bass in the left hand and the two upper parts in the right hand. This setting is quite full of important symbolic meanings:

a) the tenor cantus firmus in the pedal suggests, as the middle part of the setting, Christ’s role as Mediator between God Father and mankind;

b) the almost constant movement in sixteenth notes in the left hand bass part seems to allude to the flow of the waters of the Jordan River;

c) the two upper parts of the right hand can be seen as a symbol for the Holy Spirit floating above the scene of Christ’s Baptism by Saint John the Baptist. The beginning four notes in each of the two upper parts seem to depict, as a hypotyposis, a cross motif. Also, the most intricate imitations between the small motives of the two upper parts can be seen as a hint to the Holy Spirit proceeding from the consubstantiality of God Father and God Son, as mentioned in the Nicene Creed (Example 11).

d) NB: the final note of the fifth chorale phrase in the pedal d° seems to generate a “wrong” 6/4-chord d° - g° - b′: This is to be seen as a hint to avoid the wrong harmony by the use of a 4′ reed in the pedal if the left hand were based on 8′, or a 16′ basis for the left hand, should the pedal be played only on an 8′ basis!

e) The total number of measures, 81, equals 3 x 3 x 3 x 3 as a most impressive symbol for the Trinity.

The small manualiter version of the same chorale is quite a short fughetta based on the first phrase of the chorale, combined with an “obbligato” counter-subject, both treated in normal and inverted position. Could the theme itself represent Christ and its inverted form Christ’s descent on Earth? Could the countersubject stand for Saint John the Baptist? Interesting enough is the fact that this fughetta consists of 27 measures (3 x 3 x 3) with exactly 81 quarter notes (see above).

The large version of Aus tiefer Not schrei ich zu dir, the German version of Psalm 130, “De profundis,” is an exceptional work, as it is written in the old, solemn, majestic vocal stylus gravis or motet style, which, according to Johann Gottfried Walther’s Musicalisches Lexicon of 1732, is able to “elevate the soul to God.” This setting marks a pinnacle in Bach’s entire organ music insofar as it is written in six parts, four in the manual and two in the pedal, with the augmented cantus firmus of Luther’s chorale melody in the right foot’s part. This obviously seems to be an allusion to the significance of the upper bass part as the voice of the Old Testament psalmist. Most impressive is also the fact that at the beginning of the last verse of the chorale Wer kann, Herr, vor dir bleiben? (Who can, Lord, stand before Thee?) in the seventh to last measure, the upper bass part playing the cantus firmus is the highest part in the whole texture (Example 12).

• The registration should be the Organo pleno, i.e., an 8′ based Plenum  in the (coupled) manual(s) and 16′ Plenum in the pedal, without mixtures but with reeds 16′, 8′, and 4′.

• This setting is obviously inspired by the great pleno settings in five parts, with double pedal, in Matthias Weckmann’s great chorale settings with the cantus firmus in the upper pedal part.

NB! In one of the Lüneburg tablatures containing Weckmann’s majestic hymn on O lux, beata Trinitas the opening first movement in five parts with double pedal and the cantus firmus in the upper bass bears the indication that the cantus firmus of the upper bass could be played in the pedal by the right foot, or on the manual by the left hand, or also by both the pedal and the left hand together. This comment seems to confirm the registration mentioned above, with the result that the left foot bass is playing in the reeds-pleno, the manual parts in the mixture-pleno and the cantus firmus in both the reeds- and the mixture-pleno, and thus strengthening the cantus firmus.

The following alio modo manualiter version of the same chorale is written in four parts. Learned contrapuntal imitations in the three lower parts—in normal and inverted form—of each phrase of the chorale, anticipate each phrase of the augmented cantus firmus expounded each time by the treble part.

• Each section of the piece begins with five contrapuntal measures in intricate counterpoint between the three lower parts, followed by eight bars expounding the respective phrase of the chorale in the treble and one supplementary bar concluding each section.

• The overall organization of the piece is quite extraordinary:

Sections a), b), c) & d): 5 + 8 + 1 bars; section e): 5 + 8 + 5

• But 5 + 8 + 1 = 14  [= B-A-C-H = 2 + 1 + 3 + 8] and 8 : 5 stands for the golden ratio.

The large version of Jesus Christus, unser Heiland, der von uns den Zorn Gottes wandt is a trio for the two manuals and pedal with the cantus firmus in the latter. It seems quite interesting that the pedal oscillates between playing the tenor and bass parts. Could this hint at Jesus’s double nature, as God and Man?

• The two manual parts seem to actually symbolize the “Wrath of God” by their extremely virtuosic, agitated, and aggressive movements in sixteenth notes and eighth notes.

• The main theme in the manuals starting with big and then diminishing intervals (tenth-octave-sixth) could possibly hint at Man’s approach to God, whereas, on the other hand, these leaps sometimes occur also in the opposite direction, from smaller to larger (sixth-octave-tenth). The message of these patterns seems to be the “struggle” between God and sinful mankind expecting redemption through communion, Luther’s second sacrament.

The following alio modo version of the same chorale is a very complex fugue in F minor, using as a main theme the first phrase of the cantus firmus. The extremely rich counterpoint and the surprisingly daring new motives seem to recall the big, learned fugues of the Well-Tempered Clavier, Book II.

• The augmented entry of the main-theme in the tenor part in measure 57 might be another symbol for the praise of Christ the Lord, as the mediator between God and Man.

• NB! In order to emphasize this augmented theme in the tenor it should be helpful to use a registration of foundations (principals) 8′ and 4′ and a trumpet 8′.

VIII

Most intriguing and surprising part of the work are the following four duettos preceding the final Fugue in E-flat Major. Some speculations might help justify their presence:

a) Luther adds a “Short Admonition of Confession” after the chapter about Communion. In this short appendix he quotes the various ways of confessing: 1. to the priest/pastor; 2. as an open and common confession in front of the congregation; 3. to the neighbor; and 4. to God;

b) in the first part of his Large Catechism Luther quotes the four elements of the world: 1. Fire; 2. Air; 3. Water; 4. Earth;

c) in his Neu vermehrtes Hamburgisches Gesangbuch (New Hymn Book) from 1739, Vopelius inserts after the Catechism Hymns other hymns for: 1. the morning; 2. the evening; 3. before meals; 4. after meals;

d) taking into consideration the Baroque Theory of Affects one can easily imagine a certain parallel with the four temperaments: 1. choleric; 2. sanguine; 3. phlegmatic; and 4. melancholic temperament;

e) the duettos form a tight unity: their tonal progression ascending from E to F, to G, and finally to A corresponds strikingly to the sequence of keys in the “Trinity chorales” 4 to 9, and thus leading to the first note, B-flat, starting the following fugue;

f) two of the duettos are in a major (II and III) and two in a minor key (I and IV);

g) two are in a ternary (I: 3/8 and III: 12/8) and two in a binary (II: 2/4 and IV: 2/2) time signature.

h) two start with the right hand (I and II) and two with the left hand (II and IV).

It also seems quite remarkable how well the duettos match—by their astonishing variety and by their individual character—both the conception of the four elements (mentioned by Luther in his Great Catechism) and that of the four temperaments and even maybe of the four archangels (Michael, Gabriel, Raphael, and Uriel) as well as the four Evangelists (?).

Duetto I: E-minor key; 3/8 time signature; right hand starts, left hand follows; 73 measures; perfectly symmetrical form based upon the golden ratio (28 measures + 17 measures + 28 measures = 73 measures // 28:17 = ~ 1.64; 45 (= 28 + 17) : 28 = ~ 1.7; 73 (= 28 + 17 + 28) : 45 = ~ 1.62); flamboyant themes and countersubjects suggesting flames of fire; Archangel Michael (with attributes: fire, sword, perfect balance); choleric temperament (?); element Fire (?).

Duetto II: F-major key; 2/4 time signature; right hand starts, left hand follows; 149 measures; perfectly symmetrical form of: 37 + 31 + 13 + 31 + 37 measures. NB! 37 could stand for Christ’s monogram in the Greek alphabet [ChRistos]: X ~ CH (= 20) + P ~ R (= 17); 31 may stand for the Latin “In Nomine Jesu” (In Jesus’s Name): [I (= 9) + N (= 13) + I (= 9) = 31]; 13 could allude to Jesus and his Twelve Apostles at the Last Supper. NB! This section of 13 measures from measures 69 to 78 is the center, the middle of the whole piece in which the measures 74 to 78 are the exact “inversion” of measures 69 to 73; could that maybe hint to Jesus’s death?; element Air (?) (Example 13).

The overall form of the piece is quite complex, insofar as the first section and its da capo recapitulation (both 37 measures) are in major and in a serene, joyous mood, whereas the second and penultimate sections (both 31 measures) are in minor and written as canons; might this “discrepancy” remind one of the sanguine temperament (?); Air; could the three references to Jesus Christ (see above) suggest a link to the Archangel Gabriel, Jesus’s messenger (with the attributes: lily and fish); could the perfect formal symmetry represent the symmetrical beauty of a lily?; could the inversion, the crossing of the parts in measures 69–78 hint at a symbol for Christ’s Cross and Death?

Duetto III: G-major key; 12/8 time signature; left hand starts, right hand follows; 39 measures:

15 + 8 + 15 + 1 = 39 measures; 15 (= 3 x 5) + 24 (= 3 x 8) = 39 (= 3 x 13) = golden ratio (cf. Fibonacci); melancholic temperament (?); could the very serene character of the piece remind of the Archangel Raphael (with attribute: fish)? element Water?

Duetto IV: A-minor key; 2/2 (Alla breve) time signature; left hand starts, right hand follows; two themes are used (a and b); 108 measures arranged as 8 (a) + 8 (a) + 16 (b) + 8 (a) + 8 (a) + 8 (b) + 13 (b) + 8 (a) + 8 (b) + 10 (b) + 13(a); NB! The grouping of measures and themes reveals the scheme of: 9 x 8 (= 72 measures) + 2 x 13 (= 26 measures) + 2 x 5 (= 10 measures), an order once more based upon the progression 5, 8, and 13 as quantities of the Fibonacci progression hinting at the “golden ratio;” the quite robust character of the music seems to allude to the strong phlegmatic temperament, while the very intricate formal scheme of the piece might possibly be a hint to the archangel Uriel (with attribute: fire); element Earth?

IX

The concluding Fuga à 5 Pro Organo pleno in E-flat major perfectly continues the ascending keys movement of the duettos (E-F-G-A) by its starting with a B-flat in the tenor.

The main theme suggests by its shape the form of a cross: connecting on paper the first note with the fourth and the second with the third, respectively the second with the fifth and the third with the fourth, respectively the third with the sixth and the fourth with the fifth, respectively the fourth with the seventh and the fifth with the sixth, one obtains three times (Trinity again!) the Greek letter X = Chi used as a symbol of the Cross, for crossing: cf. also Bach’s original title Da Jesus an dem X stund’ and the English No X-ing or Merry X-mas (Example 14).

This majestic theme dominates the whole first section of the fugue written in the ancient stylus gravis (see above, chorales 1 to 3). The second section of the fugue is in 6/4 meter and based on a strongly contrasting theme characterized by its constant movement representing a lengthy kyklosis (“turning around-figure”), with the main notes E-flat—F—G and thus quoting the first phrase of the first large chorale Kyrie, Gott Vater in Ewigkeit (Example 15).

Exactly in the middle of this second section, the majestic first theme reappears, rhythmically strengthened by its syncopations, and dividing the whole fugue into two equal parts of 36 + 22½ : 22½ + 36 (Example 16).

Finally, the third and last section of the fugue written in 12/8 time signature, expounds a third theme that will later be combined with the first and with a varied form of the second theme. This third theme seems to use a bass cadence formula of C–F, and B-flat–E-flat (Example 17).

Most impressive is the perfect formal symmetry of the whole fugue organized in: (20 + 16 =) 36 measures + (22½ + 22½ =) 45 measures + (16 + 20 =) 36 measures.

Considering the fugue as a whole and the most natural tempo relationship of its three time signatures (half note = dotted half note = dotted quarter note), one can conclude the following:

a) the first and the third sections of the fugue are equal in length lasting 36 measures each, divided into 20 + 16, respectively, into 16 + 20;

b) applying the tempo relationship “half note = dotted half note = dotted quarter note” and taking as a common unity of measurement the smaller quantity, i.e., the measure length of the second fugue (which has only two beats per measure vs. the four beats of the first and the third sections respectively), one obtains the following measurements for the three sections:

72 (= 36 x 2) half-measures; 45 measures and again 72 (= 36 x 2) half-measures

c) all these numbers being multiples of 9, these ratios can be reduced to:

72 (= 8 x 9); 45 (= 5 x 9); 72 (= 8 x 9), or just 8 + 5 (= 13) + 8 = 21

d) this series of numbers 8, 5, 13, 21 belongs to the famous “Fibonacci progression” starting by 1:1:2:3:5:8:13:21 and reaching the golden ratio or divine proportion (= “proportio divina”) in the infinite.

e) NB! according to the Italian Renaissance mathematician Luca Pacioli the golden ratio might symbolize the Holy Trinity:

A (the greater quantity/God Father) : B (the smaller quantity/God the consubstantial Son) = (A + B) : A, or, theologically speaking:

A (God Father) engenders B (the consubstantial Son) and, out of these two, proceeds A + B (the Holy Spirit);

f) could this majestic, astonishingly built fugue thus represent once more the ultimate Symbol of the Holy Trinity?

g) its perfectly symmetrical construction is most impressive:

First section (40 half measures—cadence—32 half measures),

Second section (22½—22½ measures)

Third section (32 half measures—cadence—40 half measures), or, more simply:

40 – 32 – 22½ – 22½ – 32 – 40 measure lengths of the second section.

X

Taking a more attentive, new look at the Third Part of Bach’s Clavier-Übung, one discovers some interesting facts concerning the overall compositional plan, a plan corresponding also to Bach’s work, the B Minor Mass:

a) both cycles contain a total of 27 movements each.

b) these 27 movements are divided into two groups of: 6 “free” works without a cantus firmus (prelude in E-flat, the four Duettos, and the final fugue) and the 21 chorales; NB! the “Missa” and the “Symbolum Nicenum” in the
B Minor Mass have together 12 + 9 = 21 movements and the last section of the B Minor Mass (“Sanctus,” “Osanna,” “Benedictus,” “Osanna,” “Agnus Dei,” and “Dona nobis pacem”) also contains 6 movements.

c) the 21 chorales in the Clavier-Übung are divided twice into: 9 for the Lutheran Mass (“Kyrie-Christe-Kyrie – Gloria:” Trinity) and 12 dealing with Luther’s Catechism plus Sacraments.

d) The 21 chorales are also divided (“musically”) into 12 and 9 chorales by the 13th chorale written as a French overture and thus opening the rest of 9 chorales.

[NB! All these numbers are multiples of 3 (Trinity again!).]

e) could the total number of 27 pieces possibly recall in both the Clavier-Übung and the B Minor Mass the 27 books of the New Testament?

f) could the number of 21 pieces allude to the “Teaching Books” of the New Testament, the 21 Epistles, and the 6 “free works” to the four Gospels, the Acts of the Apostles, and the prophetic Apocalypse of John?

g) could one not consider the overall architecture of Bach’s most impressive cycles, Clavier-Übung III and the B Minor Mass, as huge symbols for the New Testament and thereby also for Martin Luther’s Theology?

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