# D Augmented piano chord (Daug)

Daug contains D, F♯ and A♯. Two stacked major thirds. F♯ and A♯ are black keys; D is white.

- Canonical page: https://piano.org/chords/augmented/d/
- Entity: chord:augmented:d
- Notes: D F♯ A♯
- Formula: 1 3 ♯5
- Intervals from root: P1, M3, m6
- Interval stack (semitones): 4 4
- Also written: Daug, Daug, D augmented
- 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 |

## Fingering

Rest your right hand over the notes with finger 1 on D, finger 3 on F♯, finger 5 on A♯. 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 | D | D3 F♯3 A♯3 | 5/3 | 8 st, 110 mm |
| First inversion (Daug/F♯) | F♯ | F♯3 A♯3 D4 | 6/3 | 8 st, 110 mm |
| Second inversion (Daug/A♯) | A♯ | A♯3 D4 F♯4 | 6/4 | 8 st, 110 mm |

## Voicings (5)

| Voicing | Notes | Span | Relation | Omits or adds |
| --- | --- | --- | --- | --- |
| Close, root position | D3 F♯3 A♯3 | 8 st, 110 mm | identical | none |
| Close, first inversion | F♯3 A♯3 D4 | 8 st, 110 mm | identical | none |
| Close, second inversion | A♯3 D4 F♯4 | 8 st, 110 mm | identical | none |
| Open, fifth on top | D2 A♯2 F♯3 | 16 st, 220 mm | identical | none |
| Root and third only | D3 F♯3 | 4 st, 55 mm | subset | omits A♯ |

## One-edit neighbors

| Becomes | Edit | Changes | Common tones |
| --- | --- | --- | --- |
| Daug7 | 1 3 ♯5 ♭7 | adds C | 3 |
| D | 1 3 5 | A♯ becomes A | 2 |
| Dmaj7 | 1 3 5 7 | A♯ becomes A, C♯ | 2 |
| D7 | 1 3 5 ♭7 | A♯ becomes A, C | 2 |
| D6 | 1 3 5 6 | A♯ becomes A, B | 2 |
| Dadd9 | 1 3 5 9 | A♯ becomes A, E | 2 |
| Dm | 1 ♭3 5 | F♯, A♯ becomes F, A | 1 |
| Ddim | 1 ♭3 ♭5 | F♯, A♯ becomes F, A♭ | 1 |
| Dsus2 | 1 2 5 | F♯, A♯ becomes E, A | 1 |
| Dsus4 | 1 4 5 | F♯, A♯ becomes G, A | 1 |

## Set theory

- Absolute pitch classes: {2, 6, 10}
- Relative pitch classes: [0, 4, 8]
- Normal order: [2, 6, 10]
- Prime form: (048)
- Forte number: 3-12
- Interval vector: <000300>

## Frequencies (close root position)

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

## Questions and answers

### What notes are in Daug?

Daug contains D, F♯ and A♯. The formula is 1, 3, ♯5.

### How do you play Daug on piano?

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

### What are the inversions of Daug?

3 positions: root position D F♯ A♯, Daug/F♯, Daug/A♯.

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

Adds C. 3 of the notes are shared.

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

The root and third only voicing, D3 F♯3, spans 4 semitones or about 55 mm.

### What are the frequencies of Daug?

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

### What is the set class of Daug?

Prime form (048), Forte 3-12, interval vector &lt;000300&gt;.

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

Keep the 1, 3, ♯5 formula on the new root. Caug is C, E, G♯; D♭aug is D♭, F, A.

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