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A♭ Augmented 7th

Notes: A♭ - C - E - G♭ | Degrees: 1 - 3 - ♯5 - ♭7 | Written: A♭aug7, A♭7♯5, A♭+7

Construction: Root, Major 3rd, Augmented 5th, Minor 7th

It is an augmented triad with an added minor 7th, giving it a bright, tense, and unresolved character with a strong upward pull

Fingering: RH 2-3-4-5, LH 5-4-3-2

Inversions: Root A♭aug7 - 1st A♭aug7/C - 2nd A♭aug7/E - 3rd A♭aug7/G♭

G♯ Augmented 7th
This is the same chord as G♯ Augmented 7th: the same keys on the keyboard, spelled with sharps.
Related boards
A♭aug710 st, 138.0 mmRoot position, figured bass 7

A♭3, C4, E4, G♭4

Fingerings

Root position: either hand, fingers low note to high
HandNotesFingers
RightA♭, C, E, G♭2-3-4-5
LeftA♭, C, E, G♭5-4-3-2

Close-position standard fingering: either hand takes the whole shape. Thumb is 1, little finger is 5.

A♭ Augmented 7th: notes and degrees

A♭aug7 contains A♭, C, E and G♭. An augmented triad with the minor seventh added on top.

Scale degree, note, and interval measured from the root.
DegreeNoteInterval from rootSemitones
1A♭Perfect unison0
3CMajor third4
♯5EMinor sixth8
♭7G♭Minor seventh10

A♭ and G♭ are black keys; C and E are white.

Construction

A♭ Augmented 7th = Root + Major 3rd + Minor 6th + Minor 7th = A♭, C, E, G♭
NoteIntervalDegree
A♭Root1
CMajor 3rd3
EMinor 6th♯5
G♭Minor 7th♭7

Fingering

NoteKey colorRight handLeft hand
A♭blackindex finger (2)little finger (5)
Cwhitemiddle finger (3)ring finger (4)
Ewhitering finger (4)middle finger (3)
G♭blacklittle 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 position
    A♭ – 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:

C1C2C3C4CC6C7C8A♭E♭
IA♭ Major (major)
DegreeNumeralChordQuality
1IA♭ MajorMajor
2iiB♭ MinorMinor
3iiiC MinorMinor
4IVD♭ MajorMajor
5VE♭ MajorMajor
6viF MinorMinor
7vii°G DiminishedDiminished

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?
A♭aug7 contains A♭, C, E and G♭. The formula is 1, 3, ♯5, ♭7.
How do you play A♭aug7 on piano?
Play A♭, C, E and G♭ together. Right hand fingers 2, 3, 4, 5; left hand 5, 4, 3, 2. A♭ and G♭ are black keys; C and E are white.
What are the inversions of A♭aug7?
4 positions: root position A♭ C E G♭, A♭aug7/C, A♭aug7/E, A♭aug7/G♭.
What is the difference between A♭aug7 and A♭aug?
Drops G♭. 3 of the notes are shared.
What is an easy A♭aug7 for small hands?
The guide tones, 3 and ♭7 voicing, C4 G♭4, spans 6 semitones or about 83 mm.
What are the frequencies of A♭aug7?
From A♭3 at A440 in 12-TET: 207.65, 261.63, 329.63, 369.99 Hz.
What is the set class of A♭aug7?
Prime form (0248), Forte 4-24, interval vector <020301>.
How do I transpose A♭aug7 to another key?
Keep the 1, 3, ♯5, ♭7 formula on the new root. Caug7 is C, E, G♯, B♭; D♭aug7 is D♭, F, A, C♭.
Is G♯aug7 the same as A♭aug7?
Enharmonically yes: the same piano keys and the same sound, spelled differently.

A♭ Augmented 7th in detail

Exact

Every pitch class is present and nothing outside the chord is added.

TypeNotesSemitonesSpanOmissions and additionsSet relationFit
Close, root positionA♭3 C4 E4 G♭410138 mmnoneidentical
Close, first inversionC4 E4 G♭4 A♭48110 mmnoneidentical
Close, second inversionE4 G♭4 A♭4 C58110 mmnoneidentical
Close, third inversionG♭4 A♭4 C5 E510138 mmnoneidentical
Drop 2E3 A♭3 C4 G♭414193 mmnoneidentical
Drop 3C3 A♭3 E4 G♭418248 mmnoneidentical
Drop 2 and 4A♭2 E3 C4 G♭422303 mmnoneidentical

Reduced

A subset of the pitch classes: the identity is incomplete rather than altered.

TypeNotesSemitonesSpanOmissions and additionsSet relationFit
Shell, root ♭7 3A♭2 G♭3 C416220 mmomits Esubset
Guide tones, 3 and ♭7C4 G♭4683 mmomits A♭ and Esubset
Rootless closeC4 E4 G♭4683 mmomits A♭subset

Spans are measured centre to centre at a 165 mm octave (standard keyboard geometry).

Change one note

Chords a single note away, and what moving that note does.

ChordChangeFormulaCommon tones
A♭augdrops G♭1 3 ♯53
A♭7E becomes E♭1 3 5 ♭73
A♭9E becomes E♭, B♭1 3 5 ♭7 93
A♭E, G♭ becomes E♭1 3 52
A♭maj7E, G♭ becomes E♭, G1 3 5 72
A♭m7C, E becomes C♭, E♭1 ♭3 5 ♭72
A♭m7♭5C, E becomes C♭, E♭♭1 ♭3 ♭5 ♭72
A♭7sus4C, E becomes D♭, E♭1 4 5 ♭72
A♭6E, G♭ becomes E♭, F1 3 5 62
A♭add9E, G♭ becomes E♭, B♭1 3 5 92

Frequencies

NoteMIDIFrequency
A♭356207.65 Hz
C460261.63 Hz
E464329.63 Hz
G♭466369.99 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>
PairIntervalSemitonesInterval class
A♭ to CMajor third44
A♭ to EMinor sixth84
A♭ to G♭Minor seventh102
C to EMajor third44
C to G♭Tritone66
E to G♭Major second22

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.

References and further reading

The visible claims on this chord page are grounded in these verified sources.

  1. 1. Hugo Riemann (1896)

    Harmony Simplified (English translation)

    Public domain treatise
  2. 2. George Grove (ed.) (1900)

    A Dictionary of Music and Musicians

    Public domain treatise
  3. 3. Arthur Foote and Walter R. Spalding (1905)

    Modern Harmony in its Theory and Practice, Sections 170-173, chords of the eleventh and thirteenth, pp. 179-181; suspension p. 200; figured bass pp. 49, 84, 186

    Public domain treatise
  4. 4. piano.org

    piano.org chord note dataset: 43 chord types × 18 keys, derived from interval construction rules

    Primary data