# A Diminished piano chord (Adim)

Adim contains A, C and E♭. Two stacked minor thirds. E♭ is a black key; A and C are white.

- Canonical page: https://piano.org/chords/diminished/a/
- Entity: chord:diminished:a
- Notes: A C E♭
- Formula: 1 ♭3 ♭5
- Intervals from root: P1, m3, TT
- Interval stack (semitones): 3 3
- Also written: Adim, Adim, A diminished
- Parameters: A440, 12-TET, 165 mm octave, spans centre to centre

## Construction

| Degree | Note | Interval from root | Semitones |
| --- | --- | --- | --- |
| 1 | A | Perfect unison | 0 |
| ♭3 | C | Minor third | 3 |
| ♭5 | E♭ | Tritone | 6 |

## Fingering

Rest your right hand over the notes with finger 1 on A, finger 3 on C, finger 5 on E♭. The left hand mirrors it.
Right hand 1-3-5, left hand 5-3-1. Source: piano.org fingering method v1.

## Inversions

| Position | Bass | Notes in order | Figured bass | Span |
| --- | --- | --- | --- | --- |
| Root position | A | A3 C4 E♭4 | 5/3 | 6 st, 83 mm |
| First inversion (Adim/C) | C | C4 E♭4 A4 | 6/3 | 9 st, 124 mm |
| Second inversion (Adim/E♭) | E♭ | E♭4 A4 C5 | 6/4 | 9 st, 124 mm |

## Voicings (5)

| Voicing | Notes | Span | Relation | Omits or adds |
| --- | --- | --- | --- | --- |
| Close, root position | A3 C4 E♭4 | 6 st, 83 mm | identical | none |
| Close, first inversion | C4 E♭4 A4 | 9 st, 124 mm | identical | none |
| Close, second inversion | E♭4 A4 C5 | 9 st, 124 mm | identical | none |
| Open, fifth on top | A2 E♭3 C4 | 15 st, 206 mm | identical | none |
| Root and third only | A3 C4 | 3 st, 41 mm | subset | omits E♭ |

## Diatonic function by key

| Key | Roman numeral | Function |
| --- | --- | --- |
| G minor | ii° | Predominant |
| B♭ major | vii° | Dominant function |

Classification system: common-practice functional harmony.

## Progressions (2)

| Progression | Key | Role | Sequence | Voice leading |
| --- | --- | --- | --- | --- |
| ii°, v, i | G minor | ii° | Adim to Dm to Gm | Adim opens the phrase |
| vii°, I | B♭ major | vii° | Adim to B♭ | Adim opens the phrase |

## One-edit neighbors

| Becomes | Edit | Changes | Common tones |
| --- | --- | --- | --- |
| Am7♭5 | 1 ♭3 ♭5 ♭7 | adds G | 3 |
| Adim7 | 1 ♭3 ♭5 ♭♭7 | adds G♭ | 3 |
| Am | 1 ♭3 5 | E♭ becomes E | 2 |
| Am7 | 1 ♭3 5 ♭7 | E♭ becomes E, G | 2 |
| AmMaj7 | 1 ♭3 5 7 | E♭ becomes E, G♯ | 2 |
| Am6 | 1 ♭3 5 6 | E♭ becomes E, F♯ | 2 |
| A | 1 3 5 | C, E♭ becomes C♯, E | 1 |
| Aaug | 1 3 ♯5 | C, E♭ becomes C♯, E♯ | 1 |
| Asus2 | 1 2 5 | C, E♭ becomes B, E | 1 |
| Asus4 | 1 4 5 | C, E♭ becomes D, E | 1 |

## Set theory

- Absolute pitch classes: {9, 0, 3}
- Relative pitch classes: [0, 3, 6]
- Normal order: [9, 0, 3]
- Prime form: (036)
- Forte number: 3-10
- Interval vector: <002001>

## Frequencies (close root position)

| Note | MIDI | Frequency |
| --- | --- | --- |
| A3 | 57 | 220.00 Hz |
| C4 | 60 | 261.63 Hz |
| E♭4 | 63 | 311.13 Hz |

## Questions and answers

### What notes are in Adim?

Adim contains A, C and E♭. The formula is 1, ♭3, ♭5.

### How do you play Adim on piano?

Play A, C and E♭ together. Right hand fingers 1, 3, 5; left hand 5, 3, 1. E♭ is a black key; A and C are white.

### What are the inversions of Adim?

3 positions: root position A C E♭, Adim/C, Adim/E♭.

### What keys contain Adim?

2: ii° in G minor, vii° in B♭ major.

### What is the difference between Adim and Am7♭5?

Adds G. 3 of the notes are shared.

### What is an easy Adim for small hands?

The root and third only voicing, A3 C4, spans 3 semitones or about 41 mm.

### What are the frequencies of Adim?

From A3 at A440 in 12-TET: 220.00, 261.63, 311.13 Hz.

### What is the set class of Adim?

Prime form (036), Forte 3-10, interval vector &lt;002001&gt;.

### How do I transpose Adim to another key?

Keep the 1, ♭3, ♭5 formula on the new root. Cdim is C, E♭, G♭; C♯dim is C♯, E, G.

## Provenance

Every derived value above is computed by the piano.org theory kernel from the root, the quality and the stated parameters. Nothing is hand-entered per chord.

Machine record: https://piano.org/api/knowledge/v1/entities/chord:diminished:a
Last reviewed: 2026-08-12