Form and analysisAdvanced3 min read

Analysis: Fugue in C major BWV 846 (The Well-Tempered Clavier I)

Data

  • First fugue of the first book of The Well-Tempered Clavier (collection dated 1722).
  • Four voices, 27 bars, 4/4 meter.
  • One of Bach's densest fugues: the subject is present almost without interruption and the writing is dominated by strettos; there are no true episodes.

The subject

It begins in the alto after an eighth rest, rises by step from C to F, descends, then proceeds with a pattern of leaps and a group of sixteenth notes until it closes on E in the second bar: C D E F – G F E – A D G – A G F E. It is about a bar and a half long, diatonic, with a profile that rises, falls and rises again.

  • Head: the scale C D E F, very easy to recognize even in stretto.
  • Tail: the sixteenth-note figure, which supplies linking material.

The exposition

  • Alto: subject in C.
  • Soprano: real answer in G (G A B C…), because the subject does not emphasize the dominant in the first notes.
  • Tenor and bass complete the exposition. The order is subject, answer, answer, subject: an exception to the usual alternation.
  • There is no regular countersubject: the free voices accompany with variable counterpoint.

The middle section

  • The subject re-enters in almost every bar, often in stretto at different distances (half a bar, a quarter) and at different intervals.
  • The entries move to the dominant (with a passage in G minor before arriving at G major) and to other closely related keys, always without linking episodes.
  • In bars 14–15 four entries follow one another in a four-voice canon: it is the point of maximum density.

The conclusion

  • The last entries return to the tonic.
  • The fugue closes with four bars built over the tonic, with the bass fixed on C (tonic pedal), and with a last allusion to the subject in the upper voices.

What it teaches

  1. A fugue can do without episodes: variety comes from the strettos and the keys.
  2. The subject is designed for stretto: stepwise, with simple harmony, combinable with itself at many distances.
  3. The real answer is the natural choice for a subject that starts on the tonic and moves by step.
  4. The density grows up to the four-voice canon, then dissolves on the pedal.

How to study it

  1. Mark in the score every entry of the subject (head highlighted) and the voice that sings it.
  2. For each stretto note the distance and the interval between the voices.
  3. Write the tonal map: in which bars the subject is in C, G, A minor, D minor.
  4. Play the voices in pairs to hear the combinations.

Typical mistakes in analysis

  • Looking for episodes that are not there.
  • Counting only the heads as entries: in a stretto fugue it is useful to distinguish complete and incomplete entries.
  • Confusing the final pedal with a simple long bass note: above the pedal the harmony changes.

Modern application

  • Production: a simple stepwise motif can be layered over itself at different distances (a quarter, half a bar), creating growing density, as in the strettos of this fugue; it is a useful technique in builds in electronic music and minimalism.
  • Film scores: the four-voice canon as a culminating point, followed by a tonic pedal, is a model of climax and resolution.
  • Choirs: a stepwise subject like this one is ideal for a choral fugato even with non-professional singers.

Fugue: formal plan, stretto, pedal and coda, tonal answer and mutation, The Well-Tempered Clavier: overview of the fugues, prelude.

Sources

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