Grosse Fuge

The Grosse Fuge (German spelling: Große Fuge, also known in English as the Great Fugue or Grand Fugue), Op. 133, is a single-movement composition for string quartet by Ludwig van Beethoven. An immense double fugue, it was universally condemned by contemporary music critics. A reviewer writing for the Allgemeine musikalische Zeitung in 1826 described the fugue as "incomprehensible, like Chinese" and "a confusion of Babel". However, critical opinion of the work has risen steadily since the early 20th century and it is now considered among Beethoven's greatest achievements. Igor Stravinsky described it as "an absolutely contemporary piece of music that will be contemporary forever".

The Grosse Fuge was originally composed as the final movement of Beethoven's Quartet No. 13 in B♭ major, Op. 130, written in 1825; but Beethoven's publisher was concerned about the dismal commercial prospects of the piece and wanted the composer to replace the fugue with a new finale. Beethoven complied, and the Grosse Fuge was published as a separate work in 1827 as Op. 133. The work was composed when Beethoven was nearly totally deaf, and is considered to be part of his set of late quartets. The  Grosse Fuge was first performed in 1826, as the finale of the B♭ quartet, by the Schuppanzigh Quartet.

Music analysts and critics have described the Grosse Fuge as "inaccessible", "eccentric", "filled with paradoxes", and "Armageddon". Critic and musicologist Joseph Kerman calls it "the most problematic single work in Beethoven's output and ... doubtless in the entire literature of music", and violinist David Matthews describes it as "fiendishly difficult to play".

History of the composition
Beethoven originally wrote the fugue as the closing movement of his String Quartet No. 13, Op. 130, composed in late 1825. His choice of a fugal form for the final movement was well grounded in tradition: Haydn, Mozart, and Beethoven himself had previously written fugues as final movements of quartets. But in recent years, Beethoven had become increasingly concerned with the challenge of integrating this Baroque form into the Classical structure. "In my student days I wrote dozens of [fugues] ... but [imagination] also wishes to exert its privileges ... and a new and really poetic element must be introduced into the traditional form," Beethoven wrote. The resulting movement was a mammoth work, 741 measures long; the total number of measures in the other movements is 643. The fugue is dedicated to the Archduke Rudolf of Austria, his student and patron.

At the premiere performance of the Op. 130 quartet, the other movements were received enthusiastically, but the fugue was not a success. Many musicians and critics in Vienna's music periodicals denounced the fugue. Composer and violinist Louis Spohr called it, and the other late quartets, "an indecipherable, uncorrected horror".

Despite the contemporary criticism, Beethoven himself never doubted the value of the fugue. Karl Holz, Beethoven's secretary, confidant and second violinist of the Schuppanzigh Quartet that first performed the work, brought Beethoven the news that the audience had demanded encores of two middle movements. Beethoven, enraged, was reported to have growled, "And why didn't they encore the Fugue? That alone should have been repeated! Cattle! Asses!"

However, the fugue was so roundly condemned by critics and audience alike that Beethoven's publisher, Matthias Artaria (1793–1835), decided to try to convince Beethoven to publish it separately. Artaria tasked Holz with persuading Beethoven to separate the fugue from the rest of the quartet. Holz wrote:

Artaria ... charged me with the terrible and difficult task of convincing Beethoven to compose a new finale, which would be more accessible to the listeners as well as the instrumentalists, to substitute for the fugue which was so difficult to understand. I maintained to Beethoven that this fugue, which departed from the ordinary and surpassed even the last quartets in originality, should be published as a separate work and that it merited a designation as a separate opus. I communicated to him that Artaria was disposed to pay him a supplementary honorarium for the new finale. Beethoven told me he would reflect on it, but already on the next day I received a letter giving his agreement.

Why the notoriously stubborn Beethoven apparently agreed so readily to replace the fugue is an enigma in the history of this quintessentially enigmatic piece. Some historians have speculated that he likely did it for the money (Beethoven was extremely bad at managing his personal finances and was often broke), while others believe it was to satisfy his critics, or simply because Beethoven came to feel the fugue stood best on its own. The fugue is connected to the other movements of Op. 130 by various hints of motifs, and by a tonal link to the preceding Cavatina movement (the Cavatina ends on a G, and the fugue begins with the same G). The lively final movement which replaced the fugue is in the form of a contredanse and is completely uncontroversial. Beethoven composed this replacement finale while staying at the estate of his brother Johann in Gneixendorf during the late autumn of 1826, and is the last complete piece of music he was to write. In May 1827, about two months after Beethoven's death, Matthias Artaria published the first edition of Op. 130 with the new finale, the Grosse Fuge separately (under the French title Grande Fugue) as Op. 133, and a four-hand piano arrangement of the fugue as Op. 134.

General analysis
Dozens of analyses have attempted to delve into the structure of the Grosse Fuge, with conflicting results. The work has been described as an expansion of the formal Baroque grand fugue, as a multi-movement work rolled into a single piece, and as a symphonic poem in sonata form. Stephen Husarik has suggested that the relationships between the keys of the different sections of the fugue mirror what he describes as the wedge-like structure of the eight-note motif that is the main fugal subject, the "contour [that] is a driving force behind the Grosse Fuge". But Leah Gayle Weinberg writes: "The Grosse Fuge has been and continues to be a problematic subject of scholarly discussion for many reasons; the most basic is that its very form defies categorization."

Beethoven himself subtitled the fugue "tantôt libre, tantôt recherchée" (sometimes free, sometimes learned). Some sections of the work follow the strict formal structure of Baroque grand fugues, while others are more freely constructed. Regardless of how closely Beethoven follows Baroque tradition, the use of contrapuntal techniques is ubiquitous throughout the work.

Main motif
The central motif of the fugue is an eight-note subject that climbs chromatically upward:



A similar motif appears in act 2, measures 44–47, of the "Dance of the Blessed Spirits" from Gluck's opera Orfeo ed Euridice (1774), and also in Haydn's String Quartet in G, Op. 33, No. 5. ii, mm. 27–29. Another similar subject, with syncopated or gapped rhythm (called Unterbrechung in German), appears in a treatise on counterpoint by Johann Georg Albrechtsberger, who taught Beethoven composition. Joseph Kerman suggests that Beethoven modeled the motif after J. S. Bach's fugue in B minor from The Well-Tempered Clavier. Its subject is shown below:



Whatever the origin of the motif, Beethoven was fascinated by it. He used it, or fragments of it, in a number of places in the late quartets, most notably in the first movement of his Op. 132 string quartet. The opening is shown below:



In the course of the Grosse Fuge, Beethoven plays this motif in every possible variation: fortissimo and pianissimo, in different rhythms, upside down and backwards. The usual practice in a traditional fugue is to make a simple, unadorned statement of the subject at the outset, but Beethoven from the very beginning presents the subject in a host of variations.

Other motifs
In stark contrast to this simple chromatic motif is the second subject of the fugue, which leaps dramatically in huge intervals – tenths and twelfths:



The third motif is a lilting melody that serves as the theme of the andante section of the fugue:



A fourth element – not so much a motif as an effect – is the trill. Beethoven also uses trills extensively, simultaneously creating a sense of disintegration of the motifs, leading to a climax.



Overtura
The fugue opens with a 24-bar overture, which starts with a dramatic fortissimo unison G, and statement of the main fugal subject in the key of G major:



This statement of the subject disintegrates into a trill, and silence. Beethoven then repeats the subject, but in a completely different rhythm, in diminution (meaning at double the tempo), twice, climbing up the scale; and then, again silence, and again the subject, this time unadorned, in a dramatic drop to pianissimo in the key of F major.

This leads to a statement of the third fugal subject, with the first subject in the bass:

Thus, Beethoven, in this brief introduction, presents not only the material that will make up the entire piece but also the spirit: violent shifts of mood, melodies disintegrating into chaos, dramatic silences, instability, and struggle.

First fugue
Following the overture is a strictly formal double fugue in the key of B♭ major that follows all the rules of a Baroque fugue: an exposition and three variations, showcasing different contrapuntal devices. But this is anything but a tame Baroque fugue: it is violent and dissonant, pitting awkward leaps of the second subject in iambic rhythm against the main subject in syncopation, at a constant dynamic that never falls below forte. The resulting angular rhythmic confusion and displaced dissonances last almost five minutes.

First, Beethoven restates the main subject, broken up by rests between each note.

Then begins a double fugue, two subjects, played one against the other. The second subject in the first violin, and the first subject, syncopated, in the viola. Then the second violin and cello take up the same thing.

The first variation, following the rules of fugue, opens in the subdominant key of E♭. Beethoven adds to the chaos with a triplet figure in the first violin, played against the quaternary rhythm of the second subject in the second violin and the syncopated main subject in the viola.

The second variation, back in the key of B♭, is a stretto section, meaning that the fugal voices enter one right after the other. To this, Beethoven adds a countersubject in dactylic rhythm (shown in red below).


 * [[File:FG First Fugue Second Variation.ogg]]
 * [[File:FG First Fugue Second Variation.ogg]]

In the third variation, Beethoven presents a variation of the second subject in the triplet rhythm of the countersubject of the first variation, with the main subject syncopated in eighth notes, in diminution (that is, the subject is played at twice the speed).

This last variation grows increasingly chaotic, with triplets breaking out in the inner voices, until it ultimately collapses – each instrument finishing on a different part of the measure and ending inconclusively on a final fermata, leading to the next section in the key of G♭.

Meno mosso e moderato
This section ("slower and at a moderate pace") is a complete change of character from the formal fugue that preceded it and the one that follows it. It is a fugato, a section that combines contrapuntal writing with homophony. "After the strenuousness of the B♭ Fugue [first section], the effect is of an almost blinding innocence," writes Joseph Kerman. Analysts who see the fugue as a multi-movement work rolled into one view this as the traditional Andante movement. It opens with a statement of the third subject, against a pedal tone in the viola, and continues with the third subject in the second violin, against the main subject cantus firmus in the viola.

The counterpoint becomes more complex, with the cello and first violin playing the main subject in canon while the second violin and viola pass the third subject between them.


 * [[File:Grosse fuge Fugato development.ogg]]
 * [[File:Grosse fuge Fugato development.ogg]]

Despite the growing complexity of the fugal writing, Beethoven instructs the players sempre piano – always quiet. Leonard Ratner writes of this section, "[This] comes as a wonderful change of color, offered with the silkiest of textures, and with exquisite moments of glowing diatonism."

The polyphony gradually dissipates into homophony, and from there into unison, finally tapering into a dying, measured sixteenth-note tremolo, when the next section bursts out in the key of B♭.

Interlude and second fugue
Beethoven shifts gears: from G♭ to B♭, from to, from pianissimo to fortissimo. The fortissimo descends immediately to piano, for a short interlude before the second fugue. This interlude is based on the main subject in diminution, meaning in double time. On top of this, Beethoven adds a lilting, slightly comic melody; analysts who see the fugue as a multi-movement work consider this section the equivalent of a scherzo.

In this interlude, Beethoven introduces the use of trill (hinted at, at the end of the Meno mosso section). The music grows in intensity and shifts into A♭ major, for a new learned fugue.

In this fugue, Beethoven puts together three versions of the main subject: (1) the subject in its simple form, but in augmentation (meaning half the speed); (2) the same subject, abbreviated, in retrograde (that is, played backwards); and (3) a variation of the first half of the subject in diminution (that is, double time). Together, they sound like this:


 * [[File:Grosse Fuge Second Fuge exposition.ogg]]
 * [[File:Grosse Fuge Second Fuge exposition.ogg]]

Here Beethoven starts to use trills intensely. This adds to the extremely dense texture and rhythmic complexity. Kerman writes of this fugal section, "The piece seems to be in danger of cracking under the tension of its own rhythmic fury."

In the second episode of this fugue, Beethoven adds in the triplet figure from the first variation of the first fugue:

The trills become more intense. In the third episode, in the dominant key of E♭ major, Beethoven uses a leaping motif that recalls the second subject of the first fugue:

The fourth episode returns to the key of A♭. The cello plays the main subject in a way that harks back to the overtura. More elements of the first fugue return: the syncopation used for the main subject, the tenth leaps from the second subject, the diminuted main subject in the viola.

Thematic convergence and coda
This leads back to a restatement of the meno mosso e moderato section. This time, though, instead of a silky pianissimo, the fugato is played forte, heavily accented (Beethoven writes on every sixteenth-note group), march-like. Analysts who see the fugue as a variation of sonata-allegro form consider this to be part of the recapitulation section. In this section, Beethoven uses another complex contrapuntal device: the second violin plays the theme, the first violin plays the main subject in a high register, and the viola plays the main subject in inversion – that is, upside down.


 * [[File:Grosse Fuge recap 1.ogg]]
 * [[File:Grosse Fuge recap 1.ogg]]

A series of trills leads back to the home key of B♭, and a restatement of the scherzo section.

There follows a section that analysts have described as "uneasy hesitation" or "puzzling" and "diffused". Fragments of the various subjects appear and disappear, and the music seems to lose energy. A silence, and then a fragmentary burst of the opening of the first fugue. Another silence. A snippet of the meno mosso. Another silence. And then a fortissimo restatement of the very opening of the piece, leading to the coda.

From here the music moves forward, at first haltingly, but then with more and more energy, to the final passage, where the first subject is played in triplets below the soaring violin line playing a variant of the second subject.

Understanding the Grosse Fuge
Analyses of the Grosse Fuge help to understand the structure and contrapuntal devices of this mammoth piece. But, writes musicologist David B. Levy, "Regardless of how one hears the piece structurally, the composition remains filled with paradoxes that leave the listener ultimately dissatisfied with an exegesis derived solely from a structural perspective." Since its composition, musicians, critics and listeners have tried to explain the tremendous impact this piece has.

"[It] is one of the great artistic testaments to the human capacity for meaning in the face of the threat of chaos. Abiding faith in the relevance of visionary struggle in our lives powerfully informs the structure and character of the music," writes Mark Steinberg, violinist of the Brentano String Quartet. "More than anything else in music ... it justifies the ways of God to men," writes musicologist Leonard Ratner.

But beyond a recognition of the hugeness and almost mystical impact of the music, critics fail to agree on its character. Robert S. Kahn says "it presents a titanic struggle overcome." Daniel Chua, on the contrary, writes, "The work speaks of failure, the very opposite of the triumphant synthesis associated with Beethovenian recapitulations." Stephen Husarik, in his essay "Musical direction and the wedge in Beethoven's high comedy, Grosse Fuge op. 133", contends that in the fugue, Beethoven is actually writing a parody of Baroque formalism. "The B♭ Fuga of op. 133 stumbles forward in what is probably the most relentless and humorous assertion of modal rhythms since 12th century Notre Dame organum." Kahn disagrees: "... the comparison to comic music is surprising. There is nothing comic about the Grosse Fuge ...".

In many discussions of the piece, the issue of struggle is central. Sara Bitloch, violinist of the Elias String Quartet, says this sense of struggle informs her group's interpretation of the fugue. "Every part has to feel like it's a huge struggle ... You need to finish the Grosse Fuge absolutely exhausted." She calls the piece "apocalyptic". Arnold Steinhardt of the Guarneri String Quartet calls it "Armageddon ... the chaos out of which life itself evolved".

One way to express the impact of the fugue is through poetry. In her poem "Little Fugue", Sylvia Plath associates the fugue with death, in a melange of hazy associations with the yew tree (a symbol of death in Celtic Britain), the Holocaust, and the death of her own father:

"He could hear Beethoven: Black yew, white cloud, The horrific complications. Finger-traps—a tumult of keys.

Empty and silly as plates, So the blind smile. I envy big noises, The yew hedge of the Grosse Fuge. Deafness is something else. Such a dark funnel, my father! I see your voice Black and leafy, as in my childhood."

The poet Mark Doty wrote of his feelings on listening to the Grosse Fuge:

"What does it mean, chaos gathered into a sudden bronze sweetness, an October flourish, and then that moment denied, turned acid, disassembling, questioned, rephrased?"

Reception and musical influence
After the first performance in 1826 by the Schuppanzigh Quartet as the original finale to the op. 130 quartet, the fugue is not known to have been publicly performed again until 1853 in Paris by the Maurin Quartet. A century after its publication, the fugue still had not entered the standard quartet repertoire. "The attitude of mind in which most people listen to chamber music must undergo a radical change" to understand this piece, wrote Joseph de Marliave in 1928. "This fugue is one of the two works by Beethoven—the other being the fugue from the piano sonata, Op. 106—which should be excluded from performance." As late as 1947, Daniel Gregory Mason called the fugue "repellent".

By the 1920s, some string quartets were beginning to include the fugue in their programs. Since then, the fugue has steadily gained admiration and greatness in the eyes of musicians, performers and audiences. "The Great Fugue ... now seems to me the most perfect miracle in music," said Igor Stravinsky. "It is also the most absolutely contemporary piece of music I know, and contemporary forever ... Hardly birthmarked by its age, the Great Fugue is, in rhythm alone, more subtle than any music of my own century ... I love it beyond everything." Pianist Glenn Gould said, "For me, the 'Grosse Fuge' is not only the greatest work Beethoven ever wrote but just about the most astonishing piece in musical literature."

Some analysts and musicians see the fugue as a pioneering assault on the diatonic tonal system that prevailed in Classical music. Robert Kahn sees the main subject of the fugue as a precursor of the tone row, the basis of the twelve-tone system developed by Arnold Schoenberg. "Your cradle was Beethoven's Grosse Fuge," artist Oskar Kokoschka wrote to Schoenberg in a letter. Composer Alfred Schnittke quotes the subject in his third string quartet (1983). There have also been numerous orchestral arrangements of the fugue, including by conductors Wilhelm Furtwängler and Felix Weingartner.

Performance challenges
Performers approaching the Grosse Fuge face a host of technical and musical challenges. Among the technical difficulties of the piece are difficult passagework, complex cross-rhythms that require exact synchronization, and problems of intonation, where the harmonies pass from dissonance to resolution.

Once mastering the technical difficulties, there are many interpretive issues to resolve. One of these is whether the fugue should be played as the finale of Op. 130, as originally written, or as a separate piece. Playing the fugue as the final movement of Op. 130, rather than the light, Haydnesque replacement movement, completely changes the character of the quartet, analysts Robert Winter and Robert Martin note. Played with the new finale, the preceding movement, the "Cavatina", a heartfelt and intense aria, is the emotional center of the piece. Played with the fugue as the finale, the Cavatina is a prelude to the massive and compelling fugue. On the other hand, the fugue stands alone well. "Current taste is decisively in favor of the fugal finale," conclude Winter and Martin. A number of quartets have recorded Op. 130 with the fugue and the replacement finale on separate disks.

A second issue facing performers is whether to choose a "learned" interpretation – one that clarifies the complex contrapuntal structure of the piece – or one that focuses primarily on the dramatic impulses of the music. "Beethoven had taken a form that is basically an intellectual form, where the emotions take second place, compared to the structure, and he has completely turned that around, writing one of the most emotionally charged pieces ever," says Sara Bitloch of the Elias Quartet. "As a performer that's a particularly difficult balance to find ... Our first approach was to find a kind of hierarchy in the themes ... but we found that when we do that we're really missing the point of the piece."

Tied eighth notes
After deciding on the overall approach to the music, there are numerous local decisions to be made about how to play particular passages. One issue concerns the peculiar notation that Beethoven uses in the syncopated presentation of the main subject – first in the overtura but later throughout the piece. Rather than writing this as a series of quarter notes, he writes two tied eighth notes.



Musicologists have tried to explain what Beethoven meant by this: David Levy has written an entire article on the notation, and Stephen Husarik looked to the history of Baroque ornamentation for an explanation. Performers have interpreted it in various ways. The Alban Berg Quartett plays the notes almost as a single note, but with an emphasis on the first eighth note to create a subtle differentiation. Eugene Drucker of the Emerson String Quartet plays this as two distinct eighth notes. Mark Steinberg of the Brentano String Quartet sometimes joins the eighth notes, and sometimes separates them, marking the difference by playing the first eighth without vibrato, then adding vibrato for the second.

Arrangement for piano four hands
In early 1826, the publisher of the Op. 130 String Quartet, Matthias Artaria, told Beethoven there were "many requests" for a piano four-hand arrangement of the Grosse Fuge. This was well before any known discussion of publishing the fugue independently of the quartet; considering the generally negative reaction to the fugue, Solomon speculates this may have been Artaria's initial ploy to persuade Beethoven to separate the fugue from the Op. 130 quartet. When Artaria asked Beethoven to prepare the piano arrangement he was not interested, so Artaria instead engaged composer Anton Halm to arrange the piece. When Beethoven was shown Halm's work, he was not satisfied and immediately began writing his own note-for-note arrangement of the fugue. Beethoven's arrangement was completed subsequent to the C♯ minor String Quartet, Op. 131, and was published by Artaria as Op. 134. Among Beethoven’s objections to Halm’s arrangement was that it tried to make it easier for the players. “Halm enclosed a note saying that for the sake of convenience he had to break up some of the lines among the hands. Beethoven wasn’t interested in convenience.”

Rediscovery of manuscript
In 2005, Beethoven's 1826 autograph of his piano four-hands transcription of the Grosse Fuge resurfaced at Palmer Theological Seminary (then Eastern Baptist Theological Seminary) in Pennsylvania. The manuscript was authenticated by Dr. Jeffrey Kallberg at the University of Pennsylvania and Dr. Stephen Roe, head of Sotheby's Manuscript Department. The manuscript had been missing for 115 years. It was auctioned by Sotheby's on 1 December 2005, and bought for GBP 1.12 million (US$1.95 million) by a then-unknown purchaser, who has since revealed himself to be Bruce Kovner, a publicity-shy multi-billionaire who donated the manuscript – along with 139 other original and rare pieces of music – to the Juilliard School of Music in February 2006. It has since become available in Juilliard's online manuscript collection. The manuscript's known provenance is that it was listed in an 1890 catalogue and sold at an auction in Berlin to a Cincinnati, Ohio, industrialist, whose daughter gave it and other manuscripts including a Mozart Fantasia to a church in Philadelphia, Pennsylvania, in 1952. It is not known how the Beethoven manuscript came to be in the possession of the library.

The most striking change in the piano duet version occurs at the start. "Beethoven had tampered in an interesting way with the first bars of the Fugue's introductory section. The quartet version begins with loud unison G's, spread over three octaves and one and a half bars. In his initial draft of the piano arrangement, Beethoven replicated the original. Then, apparently, he decided that the Gs needed more strength and weight. The manuscript shows that he squeezed in two extra tremolando bars, expanding the moment in time. He also added octaves above and below, expanding it in space."

According to pianist Peter Hill, Beethoven transferred the Fugue from string quartet to piano "with obvious care. Revisiting the Fugue in this way may well have caused Beethoven to rethink the possibilities of what he had composed, to conclude that the Fugue could (and perhaps should) stand alone." Hill concludes, "What Beethoven created for the Grosse Fuge transcended the immediate purpose. Instead, he re-imagined a masterpiece in another medium, different from the original, but equally valid because equally characteristic of its creator."

In theatre

 * 1992: Die grosse Fuge, dance piece for 8 dancers by Anne Teresa De Keersmaeker, Rosas (dance ensemble)
 * 2001: Grosse Fugue, dance piece for 4 dancers by Maguy Marin, Compagnie Maguy Marin
 * 2016: Grosse Fugue, dance piece for 12 dancers by Lucinda Childs, Opéra National de Lyon