# B Augmented 7th piano chord (Baug7)

Baug7 contains B, D♯, F× and A. An augmented triad with the minor seventh added on top. D♯ is a black key; B, F× and A are white.

- Canonical page: https://piano.org/chords/augmented-7th/b/
- Entity: chord:augmented-7th:b
- Notes: B D♯ F× A
- Formula: 1 3 ♯5 ♭7
- Intervals from root: P1, M3, m6, m7
- Interval stack (semitones): 4 4 2
- Also written: Baug7, Baug7, B augmented 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♯ | Major third | 4 |
| ♯5 | F× | Minor sixth | 8 |
| ♭7 | A | Minor seventh | 10 |

## Fingering

Rest your right hand over the notes with finger 1 on B, finger 2 on D♯, finger 3 on F×, finger 5 on A. The left hand mirrors it.
Right hand 1-2-3-5, left hand 5-3-2-1. Source: piano.org fingering method v1.

## Inversions

| Position | Bass | Notes in order | Figured bass | Span |
| --- | --- | --- | --- | --- |
| Root position | B | B3 D♯4 F×4 A4 | 7 | 10 st, 138 mm |
| First inversion (Baug7/D♯) | D♯ | D♯4 F×4 A4 B4 | 6/5 | 8 st, 110 mm |
| Second inversion (Baug7/F×) | F× | F×4 A4 B4 D♯5 | 4/3 | 8 st, 110 mm |
| Third inversion (Baug7/A) | A | A4 B4 D♯5 F×5 | 4/2 | 10 st, 138 mm |

## Voicings (10)

| Voicing | Notes | Span | Relation | Omits or adds |
| --- | --- | --- | --- | --- |
| Close, root position | B3 D♯4 F×4 A4 | 10 st, 138 mm | identical | none |
| Close, first inversion | D♯4 F×4 A4 B4 | 8 st, 110 mm | identical | none |
| Close, second inversion | F×4 A4 B4 D♯5 | 8 st, 110 mm | identical | none |
| Close, third inversion | A4 B4 D♯5 F×5 | 10 st, 138 mm | identical | none |
| Drop 2 | F×3 B3 D♯4 A4 | 14 st, 193 mm | identical | none |
| Drop 3 | D♯3 B3 F×4 A4 | 18 st, 248 mm | identical | none |
| Drop 2 and 4 | B2 F×3 D♯4 A4 | 22 st, 303 mm | identical | none |
| Shell, root ♭7 3 | B2 A3 D♯4 | 16 st, 220 mm | subset | omits F× |
| Guide tones, 3 and ♭7 | D♯4 A4 | 6 st, 83 mm | subset | omits B and F× |
| Rootless close | D♯4 F×4 A4 | 6 st, 83 mm | subset | omits B |

## One-edit neighbors

| Becomes | Edit | Changes | Common tones |
| --- | --- | --- | --- |
| Baug | 1 3 ♯5 | drops A | 3 |
| B7 | 1 3 5 ♭7 | F× becomes F♯ | 3 |
| B9 | 1 3 5 ♭7 9 | F× becomes F♯, C♯ | 3 |
| B | 1 3 5 | F×, A becomes F♯ | 2 |
| Bmaj7 | 1 3 5 7 | F×, A becomes F♯, A♯ | 2 |
| Bm7 | 1 ♭3 5 ♭7 | D♯, F× becomes D, F♯ | 2 |
| Bm7♭5 | 1 ♭3 ♭5 ♭7 | D♯, F× becomes D, F | 2 |
| B7sus4 | 1 4 5 ♭7 | D♯, F× becomes E, F♯ | 2 |
| B6 | 1 3 5 6 | F×, A becomes F♯, G♯ | 2 |
| Badd9 | 1 3 5 9 | F×, A becomes F♯, C♯ | 2 |

## Set theory

- Absolute pitch classes: {11, 3, 7, 9}
- Relative pitch classes: [0, 4, 8, 10]
- Normal order: [7, 9, 11, 3]
- Prime form: (0248)
- Forte number: 4-24
- Interval vector: <020301>

## Frequencies (close root position)

| Note | MIDI | Frequency |
| --- | --- | --- |
| B3 | 59 | 246.94 Hz |
| D♯4 | 63 | 311.13 Hz |
| F×4 | 67 | 392.00 Hz |
| A4 | 69 | 440.00 Hz |

## Questions and answers

### What notes are in Baug7?

Baug7 contains B, D♯, F× and A. The formula is 1, 3, ♯5, ♭7.

### How do you play Baug7 on piano?

Play B, D♯, F× and A together. Right hand fingers 1, 2, 3, 5; left hand 5, 3, 2, 1. D♯ is a black key; B, F× and A are white.

### What are the inversions of Baug7?

4 positions: root position B D♯ F× A, Baug7/D♯, Baug7/F×, Baug7/A.

### What is the difference between Baug7 and Baug?

Drops A. 3 of the notes are shared.

### What is an easy Baug7 for small hands?

The guide tones, 3 and ♭7 voicing, D♯4 A4, spans 6 semitones or about 83 mm.

### What are the frequencies of Baug7?

From B3 at A440 in 12-TET: 246.94, 311.13, 392.00, 440.00 Hz.

### What is the set class of Baug7?

Prime form (0248), Forte 4-24, interval vector &lt;020301&gt;.

### How do I transpose Baug7 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 C♭aug7 the same as Baug7?

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:augmented-7th:b
Last reviewed: 2026-08-12