Counterpoint and voice leadingAdvanced4 min read

The fugue subject: head, tail, range and character

Definition

The subject is the theme from which the whole fugue arises: it is stated alone at the beginning, then returns in all the voices and in different keys. A good subject is short, recognizable, clearly tonal (or modal) and suited to being combined with itself and with other lines. This entry focuses on how to build and analyze it; the entry on subject and answer deals with the relationship to the answer.

Anatomy

  • Head: the first notes, the most characteristic gesture (a leap, a rhythm, a repeated note). It is the part that is recognized even in fragment, and that is used in stretti and episodes.
  • Body and tail: the continuation, often by step and with shorter note values, leading to an arrival note. The tail supplies material for the episodes.
  • End: the subject usually ends on the first or third degree (more rarely the fifth), or modulates to the dominant to prepare the answer.
  • Range: generally within an octave, often within a sixth or a seventh, so that the answer fits in the same voice.
  • Length: from one to four bars in keyboard fugues; longer in choral and organ fugues.

Types

TypeCharacteristicsExample
Subject in the old stylelong note values, stepwise motion, characteristic leapsBach, BWV 849: C# B# E D# C# in half and whole notes
Subject with an initial tonic-dominant leaprequires a tonal answerArt of Fugue: D A F D C# D E F
Modulating subjectends on the dominantthe answer must return to the tonic
Rhythmic, instrumental subjectrepeated notes, eighth and sixteenth notes, internal sequencesmany fugues of the Well-Tempered Clavier
Chromatic subjectchromatic descent (lament) or diminished seventh leapsBach, Musical Offering (royal theme)
Arpeggiated subjectbuilt on the notes of the chordBWV 883: descending arpeggio and sixth leap

How to evaluate a subject

  1. Can you sing it? If it cannot be sung, it will be hard to follow in the inner voices.
  2. Does it imply a clear harmony? The strong notes should suggest a simple progression (I–V–I, I–IV–V–I).
  3. Does it have internal rhythmic contrast? A slow part and a fast part make it easier to write the countersubject in contrast.
  4. Does it combine with itself? Try the stretto at the octave and at the fifth at different distances; a subject that admits stretti has more possibilities for development.
  5. Does it invert well? Try the inversion: if it remains melodic, you can use it in the counter-exposition.
  6. Is the head unmistakable? It is what the listener recognizes when the subject re-enters in the middle of the texture.

Teaching example in C major

Subject in half notes: C5 G4 A4 B4 C5 D5 C5.

  • Head: descending leap of a fourth C–G, immediately filled in by step (G A B C).
  • Climax: D5, then return to the tonic.
  • Implied harmony: I – V – IV or ii – V – I.
  • Stretto: the same subject, an octave lower and one bar later, forms sixth, tenth, third, third, octave: it works.
  • Answer: since the second note is the dominant in a strong position, the tonal answer will respond to G with C.

Typical mistakes

  • A subject that is too long or has too many ideas: the fugue becomes heavy.
  • Excessive range: the answer leaves the register of the voice.
  • Ambiguous or too rich implied harmony: every entry requires complicated reharmonizations.
  • Uniform rhythm from beginning to end: the countersubject finds no room.

Modern application

  • Soundtracks: a subject with a strong rhythmic head (repeated notes, leap of a fourth) works as an action motif and lends itself to canonic entries in the different sections.
  • Pop and rock: a riff built like a subject (head + tail) can pass from guitar to bass to synth in imitation without losing identity.
  • Choirs: subjects with long note values and a syllabic text in the head are the most effective for choral fugatos; fast notes go in the tail, on a vowel.

Fugue: subject and answer, tonal answer and mutation, motivic analysis, stretto, Art of Fugue.

Sources

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