Construction
| Note | Interval | Degree |
|---|---|---|
| A♭ | Root | 1 |
| C♭ | Minor 3rd | ♭3 |
| E♭♭ | Diminished 5th | ♭5 |
Fingering
| Note | Key color | Right hand | Left hand |
|---|---|---|---|
| A♭ | black | thumb (1) | little finger (5) |
| C♭ | white | middle finger (3) | middle finger (3) |
| E♭♭ | white | little finger (5) | thumb (1) |
Right hand: thumb (1) on A♭, middle finger (3) on C♭, little finger (5) on E♭♭.
Left hand: little finger (5) on A♭, middle finger (3) on C♭, thumb (1) on E♭♭.
A♭ Diminished Inversions
- Root positionA♭ – C♭ – E♭♭
- 1st inversion (A♭dim/C♭)C♭ – E♭♭ – A♭
- 2nd inversion (A♭dim/E♭♭)E♭♭ – A♭ – C♭
Key Signature
A Diminished 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♭ Diminished
These are the triads built on each degree of the A♭ Diminished:
Scales That Include the A♭ Diminished
- A Major (vii°)
- F# Minor (ii°)
- B Dorian (vi°)
- C# Phrygian (v°)
- D Lydian (#iv°)
- E Mixolydian (iii°)
- F# Aeolian (ii°)
- G# Locrian (i°)
A♭ Diminished : Frequently Asked Questions
What is the A♭ Diminished chord on piano?
What notes are in the Ab Diminished chord?
How does Ab Diminished differ from Ab Minor?
What is the symbol for the Ab Diminished?
What are the inversions of Ab Diminished?
How is Ab Diminished used in music?
What songs use diminished chords?
A♭ Diminished 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 C♭3 E♭♭4 | 6 | 83 mm | none | identical | |
| Close, first inversion | C♭3 E♭♭4 A♭4 | 9 | 124 mm | none | identical | |
| Close, second inversion | E♭♭4 A♭4 C♭4 | 9 | 124 mm | none | identical | |
| Open, fifth on top | A♭2 E♭♭3 C♭3 | 15 | 206 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 |
|---|---|---|---|---|---|---|
| Root and third only | A♭3 C♭3 | 3 | 41 mm | omits E♭♭ | 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, C♭3, E♭♭4 | 5/3 | 6 | 83 mm |
| First inversion: A♭dim/C♭ | C♭ | C♭3, E♭♭4, A♭4 | 6/3 | 9 | 124 mm |
| Second inversion: A♭dim/E♭♭ | E♭♭ | E♭♭4, A♭4, C♭4 | 6/4 | 9 | 124 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 |
|---|---|---|---|---|
| ii°, v, i | F♯ minor | ii° | G♯dim to C♯m to F♯m | A♭dim opens the phrase |
| vii°, I | A major | vii° | G♯dim to A | A♭dim opens the phrase |
Root motion, common tones and voice displacement are computed from pitch class sets. Roman numerals follow common practice functional harmony.
Which keys it belongs to
| Key | Roman numeral | Function |
|---|---|---|
| F♯ minor | ii° | Predominant |
| A major | vii° | Dominant function |
Classification system: common-practice functional harmony.
Change one note
Chords a single note away, and what moving that note does.
| Chord | Change | Formula | Common tones |
|---|---|---|---|
| A♭m7♭5 | adds G♭ | 1 ♭3 ♭5 ♭7 | 3 |
| A♭dim7 | adds G♭♭ | 1 ♭3 ♭5 ♭♭7 | 3 |
| A♭m | E♭♭ becomes E♭ | 1 ♭3 5 | 2 |
| A♭m7 | E♭♭ becomes E♭, G♭ | 1 ♭3 5 ♭7 | 2 |
| A♭mMaj7 | E♭♭ becomes E♭, G | 1 ♭3 5 7 | 2 |
| A♭m6 | E♭♭ becomes E♭, F | 1 ♭3 5 6 | 2 |
| A♭ | C♭, E♭♭ becomes C, E♭ | 1 3 5 | 1 |
| A♭aug | C♭, E♭♭ becomes C, E | 1 3 ♯5 | 1 |
| A♭sus2 | C♭, E♭♭ becomes B♭, E♭ | 1 2 5 | 1 |
| A♭sus4 | C♭, E♭♭ becomes D♭, E♭ | 1 4 5 | 1 |
Frequencies
| Note | MIDI | Frequency |
|---|---|---|
| A♭3 | 56 | 207.65 Hz |
| C♭3 | 59 | 246.94 Hz |
| E♭♭4 | 62 | 293.66 Hz |
Reference pitch A440, 12-TET, close root position.
Set theory: prime form, Forte number, interval vector
- Absolute pitch class set
- {8, 11, 2}
- Normal order
- [8, 11, 2]
- Prime form
- (036)
- Forte number
- 3-10
- Interval vector
- <002001>
| Pair | Interval | Semitones | Interval class |
|---|---|---|---|
| A♭ to C♭ | Minor third | 3 | 3 |
| A♭ to E♭♭ | Tritone | 6 | 6 |
| C♭ to E♭♭ | Minor third | 3 | 3 |
Where these facts come from
Every value on this page is derived from the note formula for a diminished 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.