# D Augmented 7th piano chord (Daug7)

Daug7 contains D, F♯, A♯ and C. An augmented triad with the minor seventh added on top. F♯ and A♯ are black keys; D and C are white.

- Canonical page: https://piano.org/chords/augmented-7th/d/
- Entity: chord:augmented-7th:d
- Notes: D F♯ A♯ C
- Formula: 1 3 ♯5 ♭7
- Intervals from root: P1, M3, m6, m7
- Interval stack (semitones): 4 4 2
- Also written: Daug7, Daug7, D augmented 7th
- Parameters: A440, 12-TET, 165 mm octave, spans centre to centre

## Construction

| Degree | Note | Interval from root | Semitones |
| --- | --- | --- | --- |
| 1 | D | Perfect unison | 0 |
| 3 | F♯ | Major third | 4 |
| ♯5 | A♯ | Minor sixth | 8 |
| ♭7 | C | Minor seventh | 10 |

## Fingering

Rest your right hand over the notes with finger 1 on D, finger 2 on F♯, finger 3 on A♯, finger 5 on C. 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 | D | D3 F♯3 A♯3 C4 | 7 | 10 st, 138 mm |
| First inversion (Daug7/F♯) | F♯ | F♯3 A♯3 C4 D4 | 6/5 | 8 st, 110 mm |
| Second inversion (Daug7/A♯) | A♯ | A♯3 C4 D4 F♯4 | 4/3 | 8 st, 110 mm |
| Third inversion (Daug7/C) | C | C4 D4 F♯4 A♯4 | 4/2 | 10 st, 138 mm |

## Voicings (10)

| Voicing | Notes | Span | Relation | Omits or adds |
| --- | --- | --- | --- | --- |
| Close, root position | D3 F♯3 A♯3 C4 | 10 st, 138 mm | identical | none |
| Close, first inversion | F♯3 A♯3 C4 D4 | 8 st, 110 mm | identical | none |
| Close, second inversion | A♯3 C4 D4 F♯4 | 8 st, 110 mm | identical | none |
| Close, third inversion | C4 D4 F♯4 A♯4 | 10 st, 138 mm | identical | none |
| Drop 2 | A♯2 D3 F♯3 C4 | 14 st, 193 mm | identical | none |
| Drop 3 | F♯2 D3 A♯3 C4 | 18 st, 248 mm | identical | none |
| Drop 2 and 4 | D2 A♯2 F♯3 C4 | 22 st, 303 mm | identical | none |
| Shell, root ♭7 3 | D2 C3 F♯3 | 16 st, 220 mm | subset | omits A♯ |
| Guide tones, 3 and ♭7 | F♯3 C4 | 6 st, 83 mm | subset | omits D and A♯ |
| Rootless close | F♯3 A♯3 C4 | 6 st, 83 mm | subset | omits D |

## One-edit neighbors

| Becomes | Edit | Changes | Common tones |
| --- | --- | --- | --- |
| Daug | 1 3 ♯5 | drops C | 3 |
| D7 | 1 3 5 ♭7 | A♯ becomes A | 3 |
| D9 | 1 3 5 ♭7 9 | A♯ becomes A, E | 3 |
| D | 1 3 5 | A♯, C becomes A | 2 |
| Dmaj7 | 1 3 5 7 | A♯, C becomes A, C♯ | 2 |
| Dm7 | 1 ♭3 5 ♭7 | F♯, A♯ becomes F, A | 2 |
| Dm7♭5 | 1 ♭3 ♭5 ♭7 | F♯, A♯ becomes F, A♭ | 2 |
| D7sus4 | 1 4 5 ♭7 | F♯, A♯ becomes G, A | 2 |
| D6 | 1 3 5 6 | A♯, C becomes A, B | 2 |
| Dadd9 | 1 3 5 9 | A♯, C becomes A, E | 2 |

## Set theory

- Absolute pitch classes: {2, 6, 10, 0}
- Relative pitch classes: [0, 4, 8, 10]
- Normal order: [10, 0, 2, 6]
- Prime form: (0248)
- Forte number: 4-24
- Interval vector: <020301>

## Frequencies (close root position)

| Note | MIDI | Frequency |
| --- | --- | --- |
| D3 | 50 | 146.83 Hz |
| F♯3 | 54 | 185.00 Hz |
| A♯3 | 58 | 233.08 Hz |
| C4 | 60 | 261.63 Hz |

## Questions and answers

### What notes are in Daug7?

Daug7 contains D, F♯, A♯ and C. The formula is 1, 3, ♯5, ♭7.

### How do you play Daug7 on piano?

Play D, F♯, A♯ and C together. Right hand fingers 1, 2, 3, 5; left hand 5, 3, 2, 1. F♯ and A♯ are black keys; D and C are white.

### What are the inversions of Daug7?

4 positions: root position D F♯ A♯ C, Daug7/F♯, Daug7/A♯, Daug7/C.

### What is the difference between Daug7 and Daug?

Drops C. 3 of the notes are shared.

### What is an easy Daug7 for small hands?

The guide tones, 3 and ♭7 voicing, F♯3 C4, spans 6 semitones or about 83 mm.

### What are the frequencies of Daug7?

From D3 at A440 in 12-TET: 146.83, 185.00, 233.08, 261.63 Hz.

### What is the set class of Daug7?

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

### How do I transpose Daug7 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♭.

## 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:d
Last reviewed: 2026-08-12