# B♭ Diminished 7th piano chord (B♭dim7)

B♭dim7 contains B♭, D♭, F♭ and A♭♭. Three stacked minor thirds. B♭ and D♭ are black keys; F♭ and A♭♭ are white.

- Canonical page: https://piano.org/chords/diminished-7th/b-flat/
- Entity: chord:diminished-7th:b-flat
- Notes: B♭ D♭ F♭ A♭♭
- Formula: 1 ♭3 ♭5 ♭♭7
- Intervals from root: P1, m3, TT, M6
- Interval stack (semitones): 3 3 3
- Also written: B♭dim7, Bbdim7, B♭ diminished 7th
- Parameters: A440, 12-TET, 165 mm octave, spans centre to centre

## Construction

| Degree | Note | Interval from root | Semitones |
| --- | --- | --- | --- |
| 1 | B♭ | Perfect unison | 0 |
| ♭3 | D♭ | Minor third | 3 |
| ♭5 | F♭ | Tritone | 6 |
| ♭♭7 | A♭♭ | Major sixth | 9 |

## Fingering

Rest your right hand over the notes with finger 2 on B♭, finger 3 on D♭, finger 4 on F♭, finger 5 on A♭♭. The left hand mirrors it.
Right hand 2-3-4-5, left hand 5-4-3-2. Source: piano.org fingering method v1.

## Inversions

| Position | Bass | Notes in order | Figured bass | Span |
| --- | --- | --- | --- | --- |
| Root position | B♭ | B♭3 D♭4 F♭4 A♭♭4 | 7 | 9 st, 124 mm |
| First inversion (B♭dim7/D♭) | D♭ | D♭4 F♭4 A♭♭4 B♭4 | 6/5 | 9 st, 124 mm |
| Second inversion (B♭dim7/F♭) | F♭ | F♭4 A♭♭4 B♭4 D♭5 | 4/3 | 9 st, 124 mm |
| Third inversion (B♭dim7/A♭♭) | A♭♭ | A♭♭4 B♭4 D♭5 F♭5 | 4/2 | 9 st, 124 mm |

## Voicings (10)

| Voicing | Notes | Span | Relation | Omits or adds |
| --- | --- | --- | --- | --- |
| Close, root position | B♭3 D♭4 F♭4 A♭♭4 | 9 st, 124 mm | identical | none |
| Close, first inversion | D♭4 F♭4 A♭♭4 B♭4 | 9 st, 124 mm | identical | none |
| Close, second inversion | F♭4 A♭♭4 B♭4 D♭5 | 9 st, 124 mm | identical | none |
| Close, third inversion | A♭♭4 B♭4 D♭5 F♭5 | 9 st, 124 mm | identical | none |
| Drop 2 | F♭3 B♭3 D♭4 A♭♭4 | 15 st, 206 mm | identical | none |
| Drop 3 | D♭3 B♭3 F♭4 A♭♭4 | 18 st, 248 mm | identical | none |
| Drop 2 and 4 | B♭2 F♭3 D♭4 A♭♭4 | 21 st, 289 mm | identical | none |
| Shell, root ♭♭7 ♭3 | B♭2 A♭♭3 D♭4 | 15 st, 206 mm | subset | omits F♭ |
| Guide tones, ♭3 and ♭♭7 | D♭4 A♭♭4 | 6 st, 83 mm | subset | omits B♭ and F♭ |
| Rootless close | D♭4 F♭4 A♭♭4 | 6 st, 83 mm | subset | omits B♭ |

## One-edit neighbors

| Becomes | Edit | Changes | Common tones |
| --- | --- | --- | --- |
| B♭dim | 1 ♭3 ♭5 | drops A♭♭ | 3 |
| B♭m7♭5 | 1 ♭3 ♭5 ♭7 | A♭♭ becomes A♭ | 3 |
| B♭m6 | 1 ♭3 5 6 | F♭ becomes F | 3 |
| B♭m | 1 ♭3 5 | F♭, A♭♭ becomes F | 2 |
| B♭m7 | 1 ♭3 5 ♭7 | F♭, A♭♭ becomes F, A♭ | 2 |
| B♭mMaj7 | 1 ♭3 5 7 | F♭, A♭♭ becomes F, A | 2 |
| B♭6 | 1 3 5 6 | D♭, F♭ becomes D, F | 2 |

## Set theory

- Absolute pitch classes: {10, 1, 4, 7}
- Relative pitch classes: [0, 3, 6, 9]
- Normal order: [1, 4, 7, 10]
- Prime form: (0369)
- Forte number: 4-28
- Interval vector: <004002>

## Frequencies (close root position)

| Note | MIDI | Frequency |
| --- | --- | --- |
| B♭3 | 58 | 233.08 Hz |
| D♭4 | 61 | 277.18 Hz |
| F♭4 | 64 | 329.63 Hz |
| A♭♭4 | 67 | 392.00 Hz |

## Questions and answers

### What notes are in B♭dim7?

B♭dim7 contains B♭, D♭, F♭ and A♭♭. The formula is 1, ♭3, ♭5, ♭♭7.

### How do you play B♭dim7 on piano?

Play B♭, D♭, F♭ and A♭♭ together. Right hand fingers 2, 3, 4, 5; left hand 5, 4, 3, 2. B♭ and D♭ are black keys; F♭ and A♭♭ are white.

### What are the inversions of B♭dim7?

4 positions: root position B♭ D♭ F♭ A♭♭, B♭dim7/D♭, B♭dim7/F♭, B♭dim7/A♭♭.

### What is the difference between B♭dim7 and B♭dim?

Drops A♭♭. 3 of the notes are shared.

### What is an easy B♭dim7 for small hands?

The guide tones, ♭3 and ♭♭7 voicing, D♭4 A♭♭4, spans 6 semitones or about 83 mm.

### What are the frequencies of B♭dim7?

From B♭3 at A440 in 12-TET: 233.08, 277.18, 329.63, 392.00 Hz.

### What is the set class of B♭dim7?

Prime form (0369), Forte 4-28, interval vector &lt;004002&gt;.

### How do I transpose B♭dim7 to another key?

Keep the 1, ♭3, ♭5, ♭♭7 formula on the new root. C♯dim7 is C♯, E, G, B♭; Ddim7 is D, F, A♭, C♭.

### Is A♯dim7 the same as B♭dim7?

Enharmonically yes: the same piano keys and the same sound, spelled differently.

## 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-7th:b-flat
Last reviewed: 2026-08-12