# A♭ Major 9th piano chord (A♭maj9)

A♭maj9 contains A♭, C, E♭, G and B♭. A major seventh with the ninth added on top. A♭, E♭ and B♭ are black keys; C and G are white.

- Canonical page: https://piano.org/chords/major-9th/a-flat/
- Entity: chord:major-9th:a-flat
- Notes: A♭ C E♭ G B♭
- Formula: 1 3 5 7 9
- Intervals from root: P1, M3, P5, M7, M9
- Interval stack (semitones): 4 3 4 3
- Also written: A♭maj9, Abmaj9, A♭ major 9th
- 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 | Major third | 4 |
| 5 | E♭ | Perfect fifth | 7 |
| 7 | G | Major seventh | 11 |
| 9 | B♭ | Major ninth | 14 |

## Fingering

Rest your right hand over the notes with finger 1 on A♭, finger 2 on C, finger 3 on E♭, finger 4 on G, finger 5 on B♭. The left hand mirrors it.
Right hand 1-2-3-4-5, left hand 5-4-3-2-1. Source: piano.org fingering method v1.

## Inversions

| Position | Bass | Notes in order | Figured bass | Span |
| --- | --- | --- | --- | --- |
| Root position | A♭ | A♭3 C4 E♭4 G4 B♭4 | 9 | 14 st, 193 mm |
| First inversion (A♭maj9/C) | C | C4 E♭4 G4 A♭4 B♭4 | 7/6/5 | 10 st, 138 mm |
| Second inversion (A♭maj9/E♭) | E♭ | E♭4 G4 A♭4 B♭4 C5 | 7/4/3 | 9 st, 124 mm |
| Third inversion (A♭maj9/G) | G | G4 A♭4 B♭4 C5 E♭5 | 7/4/2 | 8 st, 110 mm |
| Fourth inversion (A♭maj9/B♭) | B♭ | B♭3 C4 E♭4 G4 A♭4 | 9/7/5 | 10 st, 138 mm |

## Voicings (11)

| Voicing | Notes | Span | Relation | Omits or adds |
| --- | --- | --- | --- | --- |
| Close, root position | A♭3 C4 E♭4 G4 B♭4 | 14 st, 193 mm | identical | none |
| Close, first inversion | C4 E♭4 G4 A♭4 B♭4 | 10 st, 138 mm | identical | none |
| Close, second inversion | E♭4 G4 A♭4 B♭4 C5 | 9 st, 124 mm | identical | none |
| Close, third inversion | G4 A♭4 B♭4 C5 E♭5 | 8 st, 110 mm | identical | none |
| Close, fourth inversion | B♭3 C4 E♭4 G4 A♭4 | 10 st, 138 mm | identical | none |
| Drop 2 | G3 A♭3 C4 E♭4 B♭4 | 15 st, 206 mm | identical | none |
| Drop 3 | E♭3 A♭3 C4 G4 B♭4 | 19 st, 261 mm | identical | none |
| Drop 2 and 4 | C3 G3 A♭3 E♭4 B♭4 | 22 st, 303 mm | identical | none |
| Shell, root 9 3 | A♭2 B♭3 C4 | 16 st, 220 mm | subset | omits E♭ |
| Guide tones, 3 and 9 | C4 B♭4 | 10 st, 138 mm | subset | omits A♭ and E♭ |
| Rootless close | C4 E♭4 G4 B♭4 | 10 st, 138 mm | subset | omits A♭ |

## One-edit neighbors

| Becomes | Edit | Changes | Common tones |
| --- | --- | --- | --- |
| A♭maj7 | 1 3 5 7 | drops B♭ | 4 |
| A♭add9 | 1 3 5 9 | drops G | 4 |
| A♭9 | 1 3 5 ♭7 9 | G becomes G♭ | 4 |
| A♭7 | 1 3 5 ♭7 | G, B♭ becomes G♭ | 3 |
| A♭mMaj7 | 1 ♭3 5 7 | C, B♭ becomes C♭ | 3 |
| A♭6 | 1 3 5 6 | G, B♭ becomes F | 3 |
| A♭m9 | 1 ♭3 5 ♭7 9 | C, G becomes C♭, G♭ | 3 |

## Set theory

- Absolute pitch classes: {8, 0, 3, 7, 10}
- Relative pitch classes: [0, 4, 7, 11, 2]
- Normal order: [7, 8, 10, 0, 3]
- Prime form: (01358)
- Forte number: not claimed for this cardinality
- Interval vector: <122230>

## Frequencies (close root position)

| Note | MIDI | Frequency |
| --- | --- | --- |
| A♭3 | 56 | 207.65 Hz |
| C4 | 60 | 261.63 Hz |
| E♭4 | 63 | 311.13 Hz |
| G4 | 67 | 392.00 Hz |
| B♭4 | 70 | 466.16 Hz |

## Questions and answers

### What notes are in A♭maj9?

A♭maj9 contains A♭, C, E♭, G and B♭. The formula is 1, 3, 5, 7, 9.

### How do you play A♭maj9 on piano?

Play A♭, C, E♭, G and B♭ together. Right hand fingers 1, 2, 3, 4, 5; left hand 5, 4, 3, 2, 1. A♭, E♭ and B♭ are black keys; C and G are white.

### What are the inversions of A♭maj9?

5 positions: root position A♭ C E♭ G B♭, A♭maj9/C, A♭maj9/E♭, A♭maj9/G, A♭maj9/B♭.

### What is the difference between A♭maj9 and A♭maj7?

Drops B♭. 4 of the notes are shared.

### What is an easy A♭maj9 for small hands?

The close, third inversion voicing, G4 A♭4 B♭4 C5 E♭5, spans 8 semitones or about 110 mm.

### What are the frequencies of A♭maj9?

From A♭3 at A440 in 12-TET: 207.65, 261.63, 311.13, 392.00, 466.16 Hz.

### What is the set class of A♭maj9?

Prime form (01358), interval vector &lt;122230&gt;.

### How do I transpose A♭maj9 to another key?

Keep the 1, 3, 5, 7, 9 formula on the new root. Cmaj9 is C, E, G, B, D; C♯maj9 is C♯, E♯, G♯, B♯, D♯.

### Is G♯maj9 the same as A♭maj9?

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:major-9th:a-flat
Last reviewed: 2026-08-12