TheoryIntermediate3 min read

Enharmony: enharmonic notes, intervals, keys and chords

Definition

Two notes are enharmonic when in equal temperament they have the same pitch but a different name: C# = Db, E# = F, B# = C, F## = G, Bbb = A. Enharmony extends to intervals, scales, keys and chords. The sound is the same, the function is not: the name tells you where the note comes from and where it tends to go.

Enharmonic notes

Every piano key has two or three possible names: C = B# = Dbb; C# = Db = B##; D = C## = Ebb, and so on (G#/Ab has only two names: G#, Ab). Spelling rule: one letter per degree in heptatonic scales (see Accidentals). In A major the third is C#, not Db; in F minor the sixth is Db, not C#.

Enharmonic intervals

SemitonesInterval 1Interval 2
3Minor 3rd (C–Eb)Augmented 2nd (C–D#)
6Augmented 4th (C–F#)Diminished 5th (C–Gb)
8Minor 6th (C–Ab)Augmented 5th (C–G#)
9Major 6th (C–A)Diminished 7th (C–Bbb)
10Minor 7th (C–Bb)Augmented 6th (C–A#)

The sound is the same, the tendency is not: the augmented 2nd of harmonic minor (F–G# in A minor) pushes G# toward A; the minor 3rd F–Ab is stable. The augmented 6th (Ab–F#) opens out to the octave on G, the minor 7th (Ab–Gb) closes in toward the 6th.

Enharmonic keys

Three pairs of major keys coincide: B = Cb (5# / 7b), F# = Gb (6# / 6b), C# = Db (7# / 5b). In minor: G# = Ab, D# = Eb, A# = Bb. You choose the spelling with fewer accidentals or the one that is more consistent with the neighboring keys in the piece.

Enharmonic chords (the heart of modulation)

  • Diminished seventh: B–D–F–Ab can be rewritten as D–F–Ab–Cb, F–Ab–Cb–Ebb, G#–B–D–F. It is the leading-tone chord of four different keys (C, Eb, Gb/F#, A): a perfect pivot for modulating (see the card on the diminished seventh chord).
  • German augmented sixth = dominant seventh: in C minor the Ger+6 Ab–C–Eb–F# sounds like Ab7 (Ab–C–Eb–Gb), the dominant of Db. By reinterpreting it you modulate by a semitone.
  • Augmented triad: C–E–G# = E–G#–B# = Ab–C–E: three keys with the same augmented dominant.
  • Tritone substitution: G7 (G–B–D–F) and Db7 (Db–F–Ab–Cb) share the tritone B/Cb–F.

Examples in real songs

  • Chopin, Prelude Op. 28 No. 15 “Raindrop”: it is in Db major, but the middle section moves to C# minor (the enharmonic of the parallel minor, which written in flats would require 8 flats). The repeated note Ab becomes G#: same sound, new dominant function.
  • Debussy, “Clair de lune”: written in Db major (5 flats) instead of C# major (7 sharps), for readability.
  • In pop and jazz, semitone modulations “via the German sixth” are frequent in final choruses with a key change.

Enharmony in the DAW

DAWs do not distinguish enharmony: in the FL Studio Piano roll C# and Db are the same key. When you export MIDI to a score, the software guesses the spelling: always check and rewrite (in MuseScore with J). A typical mistake: an Fm with Ab written as G# makes the part unreadable for a musician.

Outside equal temperament

In Pythagorean and meantone systems enharmonic notes do not coincide (in meantone G# is lower than Ab by about 41 cents). Strings and voices, free to tune, often differentiate enharmonic notes according to function.

Exercise

  1. Write the diminished seventh B–D–F–Ab in its four spellings and resolve each to its relative tonic (C, Eb, F#, A major or minor).
  2. In a project in C minor, insert Ab7 before a G7 (German sixth), then use the same Ab7 to go to Db: hear the double function.
  3. Rewrite the spelling of the melodic line of one of your songs in F minor and in D major without ever using the wrong name.

Accidentals; Key signatures; The diminished seventh chord and its uses; Augmented sixth chords; Modulation techniques.

Sources

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