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Volume III · Chapter 22

Augmented Sixth Chords

MUSIC 21A · C-ID MUS 140Chapter quiz →

In the musicianship bookChapter 26: The Neapolitan and Augmented Sixths

Introduction: An Interval That Expands

Put ♭6̂ in the bass and ♯4̂ above it. The interval between them is an augmented sixth, and it pulls outward with tremendous force: ♭6̂ falls a half step, ♯4̂ rises a half step, and both land on 5̂ an octave apart. Chords built around this interval, called augmented sixth chords, are the most intense predominants in tonal music. They lead to V (or to the cadential six-four) and nowhere else.

For reasons nobody really knows, the three common types carry national nicknames: Italian, French, and German.

Click any example to hear it. ♭6̂ and ♯4̂ are shown in red.

Building the Three Types

All three share a core of three notes: ♭6̂ (in the bass), 1̂, and ♯4̂. The fourth note decides the type:

TypeScale degreesA minorC minorC major
It+6♭6̂, 1̂, ♯4̂ (double 1̂)F – A – D♯A♭ – C – F♯A♭ – C – F♯
Fr+6♭6̂, 1̂, 2̂, ♯4̂F – A – D♯ – BA♭ – C – F♯ – DA♭ – C – F♯ – D
Ger+6♭6̂, 1̂, ♭3̂, ♯4̂F – A – D♯ – CA♭ – C – F♯ – E♭A♭ – C – F♯ – E♭
  • The Italian has only three different notes; double 1̂ (never ♭6̂ or ♯4̂).
  • The French adds 2̂, which creates a second tritone and an exotic, whole-tone sound.
  • The German adds ♭3̂. It sounds exactly like a dominant seventh chord (in C: A♭–C–E♭–F♯ sounds like A♭7), which Chapter 24 will exploit.
  • In a major key, ♭6̂ and ♭3̂ are borrowed through mixture, so the chords need extra accidentals.

Resolving Augmented Sixth Chords

  • ♭6̂ falls and ♯4̂ rises, each by half step, to 5̂: the augmented sixth expands to an octave. Never double either note.
  • The other voices move to the nearest tones of V: 1̂ falls to 7̂ (or holds into a six-four), 2̂ holds, ♭3̂ falls to 2̂.
  • German to V creates parallel fifths (♭6̂–♭3̂ moving to 5̂–2̂). These are called "Mozart fifths," and you'll find them in real music, but in part writing avoid them: send the German to a cadential six-four first (♭3̂ holds or becomes ♮3̂).
  • In a major key, when the German goes to I64, ♭3̂ moves up to ♮3̂, so it's often respelled as ♯2̂ (in C, D♯ instead of E♭).
iiv6​It+6​Vi
Example 22.1. Italian sixth in A minor: F (bass) falls to E, D♯ rises to E, and the doubled A splits.
iFr+6​Vi
Example 22.2. French sixth in C minor (A♭–C–D–F♯). D, the added note, stays as the fifth of V.
iGer+6​i64​V7​i
Example 22.3. German sixth in G minor resolving to the cadential six-four, which avoids parallel fifths.
IGer+6​I64​V7​I
Example 22.4. German sixth in C major. E♭ (borrowed ♭3̂) rises chromatically to E♮ in the six-four.

Approaching Augmented Sixths

Augmented sixths usually come from a tonic or another predominant, and the bass often reaches ♭6̂ by step: from 1̂ (i–It+6, a leap down a third), from 4̂ (iv6–It+6, by half step), or from 6̂ in a descending line (the "lament bass" 1̂–♭7̂–♭6̂–5̂). The bass descent iv6–Ger+6–V is especially common, because the bass simply slides down 6̂–♭6̂–5̂ in major.

Try It: Augmented Sixth Builder

Augmented Sixth Builder

Choose a key and a type. ♭6̂ and ♯4̂ (red) expand outward to the octave on 5̂.

Summary

  • Augmented sixth chords contain ♭6̂ (usually in the bass) and ♯4̂, which expand outward by half step to an octave on 5̂.
  • Italian: ♭6̂–1̂–♯4̂ (double 1̂). French: adds 2̂. German: adds ♭3̂.
  • They are predominants and lead to V or to the cadential six-four.
  • Ger+6–V makes parallel fifths; resolve the German through I64 in part writing.
  • The German sounds like a dominant seventh, a fact that opens the door to enharmonic modulation.

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