# F Augmented piano chord (Faug)

Faug contains F, A and C♯. Two stacked major thirds. C♯ is a black key; F and A are white.

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

## Construction

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

## Fingering

Rest your right hand over the notes with finger 1 on F, finger 3 on A, finger 5 on C♯. 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 | F | F3 A3 C♯4 | 5/3 | 8 st, 110 mm |
| First inversion (Faug/A) | A | A3 C♯4 F4 | 6/3 | 8 st, 110 mm |
| Second inversion (Faug/C♯) | C♯ | C♯4 F4 A4 | 6/4 | 8 st, 110 mm |

## Voicings (5)

| Voicing | Notes | Span | Relation | Omits or adds |
| --- | --- | --- | --- | --- |
| Close, root position | F3 A3 C♯4 | 8 st, 110 mm | identical | none |
| Close, first inversion | A3 C♯4 F4 | 8 st, 110 mm | identical | none |
| Close, second inversion | C♯4 F4 A4 | 8 st, 110 mm | identical | none |
| Open, fifth on top | F2 C♯3 A3 | 16 st, 220 mm | identical | none |
| Root and third only | F3 A3 | 4 st, 55 mm | subset | omits C♯ |

## One-edit neighbors

| Becomes | Edit | Changes | Common tones |
| --- | --- | --- | --- |
| Faug7 | 1 3 ♯5 ♭7 | adds E♭ | 3 |
| F | 1 3 5 | C♯ becomes C | 2 |
| Fmaj7 | 1 3 5 7 | C♯ becomes C, E | 2 |
| F7 | 1 3 5 ♭7 | C♯ becomes C, E♭ | 2 |
| F6 | 1 3 5 6 | C♯ becomes C, D | 2 |
| Fadd9 | 1 3 5 9 | C♯ becomes C, G | 2 |
| Fm | 1 ♭3 5 | A, C♯ becomes A♭, C | 1 |
| Fdim | 1 ♭3 ♭5 | A, C♯ becomes A♭, C♭ | 1 |
| Fsus2 | 1 2 5 | A, C♯ becomes G, C | 1 |
| Fsus4 | 1 4 5 | A, C♯ becomes B♭, C | 1 |

## Set theory

- Absolute pitch classes: {5, 9, 1}
- Relative pitch classes: [0, 4, 8]
- Normal order: [1, 5, 9]
- Prime form: (048)
- Forte number: 3-12
- Interval vector: <000300>

## Frequencies (close root position)

| Note | MIDI | Frequency |
| --- | --- | --- |
| F3 | 53 | 174.61 Hz |
| A3 | 57 | 220.00 Hz |
| C♯4 | 61 | 277.18 Hz |

## Questions and answers

### What notes are in Faug?

Faug contains F, A and C♯. The formula is 1, 3, ♯5.

### How do you play Faug on piano?

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

### What are the inversions of Faug?

3 positions: root position F A C♯, Faug/A, Faug/C♯.

### What is the difference between Faug and Faug7?

Adds E♭. 3 of the notes are shared.

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

The root and third only voicing, F3 A3, spans 4 semitones or about 55 mm.

### What are the frequencies of Faug?

From F3 at A440 in 12-TET: 174.61, 220.00, 277.18 Hz.

### What is the set class of Faug?

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

### How do I transpose Faug 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:f
Last reviewed: 2026-08-12