Construction
| Note | Interval | Degree |
|---|---|---|
| F | Root | 1 |
| A | Major 3rd | 3 |
| C♯ | Minor 6th | ♯5 |
Fingering
| Note | Key color | Right hand | Left hand |
|---|---|---|---|
| F | white | thumb (1) | little finger (5) |
| A | white | middle finger (3) | middle finger (3) |
| C♯ | black | little finger (5) | thumb (1) |
Right hand: thumb (1) on F, middle finger (3) on A, little finger (5) on C♯.
Left hand: little finger (5) on F, middle finger (3) on A, thumb (1) on C♯.
F Augmented Inversions
- Root positionF – A – C♯
- 1st inversion (Faug/A)A – C♯ – F
- 2nd inversion (Faug/C♯)C♯ – F – A
Key Signature
A Augmented chord is built from symmetrical or ambiguous intervals, so it doesn't belong to a single key and has no key signature of its own.
Chords in the Key of F Major
These are the triads built on each degree of F Major:
Same Notes, Other Names
The notes F – A – C♯ aren’t exclusive to this chord. Depending on which note is the bass and how the chord functions, the same pitches also spell the following:
F Augmented : Frequently Asked Questions
What is the F Augmented chord on piano?
What notes are in the F Augmented chord?
How does the F Augmented chord differ from F Major?
What is the symbol for the F Augmented chord?
How do I use the F Augmented chord in music?
What are the inversions of the F Augmented chord?
What songs use augmented chords?
F Augmented in detail
Exact
Every pitch class is present and nothing outside the chord is added.
| Type | Notes | Semitones | Span | Omissions and additions | Set relation | Fit |
|---|---|---|---|---|---|---|
| Close, root position | F3 A3 C♯4 | 8 | 110 mm | none | identical | |
| Close, first inversion | A3 C♯4 F4 | 8 | 110 mm | none | identical | |
| Close, second inversion | C♯4 F4 A4 | 8 | 110 mm | none | identical | |
| Open, fifth on top | F2 C♯3 A3 | 16 | 220 mm | none | identical |
Reduced
A subset of the pitch classes: the identity is incomplete rather than altered.
| Type | Notes | Semitones | Span | Omissions and additions | Set relation | Fit |
|---|---|---|---|---|---|---|
| Root and third only | F3 A3 | 4 | 55 mm | omits C♯ | subset |
Spans are measured centre to centre at a 165 mm octave (standard keyboard geometry).
| Position | Bass note | Notes in order | Figured bass | Semitones | Span |
|---|---|---|---|---|---|
| Root position | F | F3, A3, C♯4 | 5/3 | 8 | 110 mm |
| First inversion: Faug/A | A | A3, C♯4, F4 | 6/3 | 8 | 110 mm |
| Second inversion: Faug/C♯ | C♯ | C♯4, F4, A4 | 6/4 | 8 | 110 mm |
One position per chord tone in the bass. Spans are for close position: voiced inversions appear under Voicings.
| Progression | Key | Role | Sequence | Voice leading |
|---|
Root motion, common tones and voice displacement are computed from pitch class sets. Roman numerals follow common practice functional harmony.
Change one note
Chords a single note away, and what moving that note does.
| Chord | Change | Formula | Common tones |
|---|---|---|---|
| Faug7 | adds E♭ | 1 3 ♯5 ♭7 | 3 |
| F | C♯ becomes C | 1 3 5 | 2 |
| Fmaj7 | C♯ becomes C, E | 1 3 5 7 | 2 |
| F7 | C♯ becomes C, E♭ | 1 3 5 ♭7 | 2 |
| F6 | C♯ becomes C, D | 1 3 5 6 | 2 |
| Fadd9 | C♯ becomes C, G | 1 3 5 9 | 2 |
| Fm | A, C♯ becomes A♭, C | 1 ♭3 5 | 1 |
| Fdim | A, C♯ becomes A♭, C♭ | 1 ♭3 ♭5 | 1 |
| Fsus2 | A, C♯ becomes G, C | 1 2 5 | 1 |
| Fsus4 | A, C♯ becomes B♭, C | 1 4 5 | 1 |
Frequencies
| Note | MIDI | Frequency |
|---|---|---|
| F3 | 53 | 174.61 Hz |
| A3 | 57 | 220.00 Hz |
| C♯4 | 61 | 277.18 Hz |
Reference pitch A440, 12-TET, close root position.
Set theory: prime form, Forte number, interval vector
- Absolute pitch class set
- {5, 9, 1}
- Normal order
- [1, 5, 9]
- Prime form
- (048)
- Forte number
- 3-12
- Interval vector
- <000300>
| Pair | Interval | Semitones | Interval class |
|---|---|---|---|
| F to A | Major third | 4 | 4 |
| F to C♯ | Minor sixth | 8 | 4 |
| A to C♯ | Major third | 4 | 4 |
Where these facts come from
Every value on this page is derived from the note formula for a augmented applied to the root F, using standard music theory. Nothing here is hand-entered per chord, so the notes, intervals, inversions and frequencies cannot drift out of agreement with each other. Pitches assume 12-TET at A440.