Construction
| Note | Interval | Degree |
|---|---|---|
| A♭ | Root | 1 |
| C | Major 3rd | 3 |
| E | Minor 6th | ♯5 |
| G♭ | Minor 7th | ♭7 |
Fingering
| Note | Key color | Right hand | Left hand |
|---|---|---|---|
| A♭ | black | index finger (2) | little finger (5) |
| C | white | middle finger (3) | ring finger (4) |
| E | white | ring finger (4) | middle finger (3) |
| G♭ | black | little finger (5) | index finger (2) |
Right hand: index finger (2) on A♭, middle finger (3) on C, ring finger (4) on E, little finger (5) on G♭.
Left hand: little finger (5) on A♭, ring finger (4) on C, middle finger (3) on E, index finger (2) on G♭.
A♭ Augmented 7th Inversions
- Root positionA♭ – C – E – G♭
- 1st inversion (A♭aug7/C)C – E – G♭ – A♭
- 2nd inversion (A♭aug7/E)E – G♭ – A♭ – C
- 3rd inversion (A♭aug7/G♭)G♭ – A♭ – C – E
Key Signature
A Augmented 7th chord is built from symmetrical or ambiguous intervals, so it doesn't belong to a single key and has no key signature of its own.
Chords in the Key of A♭ Major
These are the triads built on each degree of A♭ Major:
Same Notes, Other Names
The notes A♭ – C – E – G♭ aren’t exclusive to this chord. Depending on which note is the bass and how the chord functions, the same pitches also spell:
A♭ Augmented 7th : Frequently Asked Questions
What notes are in A♭aug7?
How do you play A♭aug7 on piano?
What are the inversions of A♭aug7?
What is the difference between A♭aug7 and A♭aug?
What is an easy A♭aug7 for small hands?
What are the frequencies of A♭aug7?
What is the set class of A♭aug7?
How do I transpose A♭aug7 to another key?
Is G♯aug7 the same as A♭aug7?
A♭ Augmented 7th in detail
Exact
Every pitch class is present and nothing outside the chord is added.
| Type | Notes | Semitones | Span | Omissions and additions | Set relation | Fit |
|---|---|---|---|---|---|---|
| Close, root position | A♭3 C4 E4 G♭4 | 10 | 138 mm | none | identical | |
| Close, first inversion | C4 E4 G♭4 A♭4 | 8 | 110 mm | none | identical | |
| Close, second inversion | E4 G♭4 A♭4 C5 | 8 | 110 mm | none | identical | |
| Close, third inversion | G♭4 A♭4 C5 E5 | 10 | 138 mm | none | identical | |
| Drop 2 | E3 A♭3 C4 G♭4 | 14 | 193 mm | none | identical | |
| Drop 3 | C3 A♭3 E4 G♭4 | 18 | 248 mm | none | identical | |
| Drop 2 and 4 | A♭2 E3 C4 G♭4 | 22 | 303 mm | none | identical |
Reduced
A subset of the pitch classes: the identity is incomplete rather than altered.
| Type | Notes | Semitones | Span | Omissions and additions | Set relation | Fit |
|---|---|---|---|---|---|---|
| Shell, root ♭7 3 | A♭2 G♭3 C4 | 16 | 220 mm | omits E | subset | |
| Guide tones, 3 and ♭7 | C4 G♭4 | 6 | 83 mm | omits A♭ and E | subset | |
| Rootless close | C4 E4 G♭4 | 6 | 83 mm | omits A♭ | subset |
Spans are measured centre to centre at a 165 mm octave (standard keyboard geometry).
| Position | Bass note | Notes in order | Figured bass | Semitones | Span |
|---|---|---|---|---|---|
| Root position | A♭ | A♭3, C4, E4, G♭4 | 7 | 10 | 138 mm |
| First inversion: A♭aug7/C | C | C4, E4, G♭4, A♭4 | 6/5 | 8 | 110 mm |
| Second inversion: A♭aug7/E | E | E4, G♭4, A♭4, C5 | 4/3 | 8 | 110 mm |
| Third inversion: A♭aug7/G♭ | G♭ | G♭4, A♭4, C5, E5 | 4/2 | 10 | 138 mm |
One position per chord tone in the bass. Spans are for close position: voiced inversions appear under Voicings.
| Progression | Key | Role | Sequence | Voice leading |
|---|
Root motion, common tones and voice displacement are computed from pitch class sets. Roman numerals follow common practice functional harmony.
Change one note
Chords a single note away, and what moving that note does.
| Chord | Change | Formula | Common tones |
|---|---|---|---|
| A♭aug | drops G♭ | 1 3 ♯5 | 3 |
| A♭7 | E becomes E♭ | 1 3 5 ♭7 | 3 |
| A♭9 | E becomes E♭, B♭ | 1 3 5 ♭7 9 | 3 |
| A♭ | E, G♭ becomes E♭ | 1 3 5 | 2 |
| A♭maj7 | E, G♭ becomes E♭, G | 1 3 5 7 | 2 |
| A♭m7 | C, E becomes C♭, E♭ | 1 ♭3 5 ♭7 | 2 |
| A♭m7♭5 | C, E becomes C♭, E♭♭ | 1 ♭3 ♭5 ♭7 | 2 |
| A♭7sus4 | C, E becomes D♭, E♭ | 1 4 5 ♭7 | 2 |
| A♭6 | E, G♭ becomes E♭, F | 1 3 5 6 | 2 |
| A♭add9 | E, G♭ becomes E♭, B♭ | 1 3 5 9 | 2 |
Frequencies
| Note | MIDI | Frequency |
|---|---|---|
| A♭3 | 56 | 207.65 Hz |
| C4 | 60 | 261.63 Hz |
| E4 | 64 | 329.63 Hz |
| G♭4 | 66 | 369.99 Hz |
Reference pitch A440, 12-TET, close root position.
Set theory: prime form, Forte number, interval vector
- Absolute pitch class set
- {8, 0, 4, 6}
- Normal order
- [4, 6, 8, 0]
- Prime form
- (0248)
- Forte number
- 4-24
- Interval vector
- <020301>
| Pair | Interval | Semitones | Interval class |
|---|---|---|---|
| A♭ to C | Major third | 4 | 4 |
| A♭ to E | Minor sixth | 8 | 4 |
| A♭ to G♭ | Minor seventh | 10 | 2 |
| C to E | Major third | 4 | 4 |
| C to G♭ | Tritone | 6 | 6 |
| E to G♭ | Major second | 2 | 2 |
Where these facts come from
Every value on this page is derived from the note formula for a augmented 7th applied to the root A♭, using standard music theory. Nothing here is hand-entered per chord, so the notes, intervals, inversions and frequencies cannot drift out of agreement with each other. Pitches assume 12-TET at A440.