# E Augmented piano chord (Eaug)

Eaug contains E, G♯ and B♯. Two stacked major thirds. G♯ is a black key; E and B♯ are white.

- Canonical page: https://piano.org/chords/augmented/e/
- Entity: chord:augmented:e
- Notes: E G♯ B♯
- Formula: 1 3 ♯5
- Intervals from root: P1, M3, m6
- Interval stack (semitones): 4 4
- Also written: Eaug, Eaug, E augmented
- Parameters: A440, 12-TET, 165 mm octave, spans centre to centre

## Construction

| Degree | Note | Interval from root | Semitones |
| --- | --- | --- | --- |
| 1 | E | Perfect unison | 0 |
| 3 | G♯ | Major third | 4 |
| ♯5 | B♯ | Minor sixth | 8 |

## Fingering

Rest your right hand over the notes with finger 1 on E, finger 3 on G♯, finger 5 on B♯. 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 | E | E3 G♯3 B♯4 | 5/3 | 8 st, 110 mm |
| First inversion (Eaug/G♯) | G♯ | G♯3 B♯4 E4 | 6/3 | 8 st, 110 mm |
| Second inversion (Eaug/B♯) | B♯ | B♯4 E4 G♯4 | 6/4 | 8 st, 110 mm |

## Voicings (5)

| Voicing | Notes | Span | Relation | Omits or adds |
| --- | --- | --- | --- | --- |
| Close, root position | E3 G♯3 B♯4 | 8 st, 110 mm | identical | none |
| Close, first inversion | G♯3 B♯4 E4 | 8 st, 110 mm | identical | none |
| Close, second inversion | B♯4 E4 G♯4 | 8 st, 110 mm | identical | none |
| Open, fifth on top | E2 B♯3 G♯3 | 16 st, 220 mm | identical | none |
| Root and third only | E3 G♯3 | 4 st, 55 mm | subset | omits B♯ |

## One-edit neighbors

| Becomes | Edit | Changes | Common tones |
| --- | --- | --- | --- |
| Eaug7 | 1 3 ♯5 ♭7 | adds D | 3 |
| E | 1 3 5 | B♯ becomes B | 2 |
| Emaj7 | 1 3 5 7 | B♯ becomes B, D♯ | 2 |
| E7 | 1 3 5 ♭7 | B♯ becomes B, D | 2 |
| E6 | 1 3 5 6 | B♯ becomes B, C♯ | 2 |
| Eadd9 | 1 3 5 9 | B♯ becomes B, F♯ | 2 |
| Em | 1 ♭3 5 | G♯, B♯ becomes G, B | 1 |
| Edim | 1 ♭3 ♭5 | G♯, B♯ becomes G, B♭ | 1 |
| Esus2 | 1 2 5 | G♯, B♯ becomes F♯, B | 1 |
| Esus4 | 1 4 5 | G♯, B♯ becomes A, B | 1 |

## Set theory

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

## Frequencies (close root position)

| Note | MIDI | Frequency |
| --- | --- | --- |
| E3 | 52 | 164.81 Hz |
| G♯3 | 56 | 207.65 Hz |
| B♯4 | 60 | 261.63 Hz |

## Questions and answers

### What notes are in Eaug?

Eaug contains E, G♯ and B♯. The formula is 1, 3, ♯5.

### How do you play Eaug on piano?

Play E, G♯ and B♯ together. Right hand fingers 1, 3, 5; left hand 5, 3, 1. G♯ is a black key; E and B♯ are white.

### What are the inversions of Eaug?

3 positions: root position E G♯ B♯, Eaug/G♯, Eaug/B♯.

### What is the difference between Eaug and Eaug7?

Adds D. 3 of the notes are shared.

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

The root and third only voicing, E3 G♯3, spans 4 semitones or about 55 mm.

### What are the frequencies of Eaug?

From E3 at A440 in 12-TET: 164.81, 207.65, 261.63 Hz.

### What is the set class of Eaug?

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

### How do I transpose Eaug 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:e
Last reviewed: 2026-08-12