Construction
| Note | Interval | Degree |
|---|---|---|
| F♯ | Root | 1 |
| A♯ | Major 3rd | 3 |
| C♯♯ | Minor 6th | ♯5 |
| E | Minor 7th | ♭7 |
Fingering
| Note | Key color | Right hand | Left hand |
|---|---|---|---|
| F♯ | black | index finger (2) | little finger (5) |
| A♯ | black | middle finger (3) | ring finger (4) |
| C♯♯ | white | ring finger (4) | middle finger (3) |
| E | white | little finger (5) | index finger (2) |
Right hand: index finger (2) on F♯, middle finger (3) on A♯, ring finger (4) on C♯♯, little finger (5) on E.
Left hand: little finger (5) on F♯, ring finger (4) on A♯, middle finger (3) on C♯♯, index finger (2) on E.
F♯ Augmented 7th Inversions
- Root positionF♯ – A♯ – C♯♯ – E
- 1st inversion (F♯aug7/A♯)A♯ – C♯♯ – E – F♯
- 2nd inversion (F♯aug7/C♯♯)C♯♯ – E – F♯ – A♯
- 3rd inversion (F♯aug7/E)E – F♯ – A♯ – C♯♯
Key Signature
A Augmented 7th 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♯♯ – E aren’t exclusive to this chord. Depending on which note is the bass and how the chord functions, the same pitches also spell:
F♯ Augmented 7th : Frequently Asked Questions
What is the F♯ Augmented 7th chord on piano?
What is the F# piano chord?
What notes are in the F# Augmented 7th chord?
How is the F# Augmented 7th chord used in music?
What is the fingering for F# Augmented 7th?
What are the inversions of F# Augmented 7th?
F♯ Augmented 7th 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 | F♯3 A♯3 C×4 E4 | 10 | 138 mm | none | identical | |
| Close, first inversion | A♯3 C×4 E4 F♯4 | 8 | 110 mm | none | identical | |
| Close, second inversion | C×4 E4 F♯4 A♯4 | 8 | 110 mm | none | identical | |
| Close, third inversion | E4 F♯4 A♯4 C×5 | 10 | 138 mm | none | identical | |
| Drop 2 | C×3 F♯3 A♯3 E4 | 14 | 193 mm | none | identical | |
| Drop 3 | A♯2 F♯3 C×4 E4 | 18 | 248 mm | none | identical | |
| Drop 2 and 4 | F♯2 C×3 A♯3 E4 | 22 | 303 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 |
|---|---|---|---|---|---|---|
| Shell, root ♭7 3 | F♯2 E3 A♯3 | 16 | 220 mm | omits C× | subset | |
| Guide tones, 3 and ♭7 | A♯3 E4 | 6 | 83 mm | omits F♯ and C× | subset | |
| Rootless close | A♯3 C×4 E4 | 6 | 83 mm | omits F♯ | 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♯ | F♯3, A♯3, C×4, E4 | 7 | 10 | 138 mm |
| First inversion: F♯aug7/A♯ | A♯ | A♯3, C×4, E4, F♯4 | 6/5 | 8 | 110 mm |
| Second inversion: F♯aug7/C× | C× | C×4, E4, F♯4, A♯4 | 4/3 | 8 | 110 mm |
| Third inversion: F♯aug7/E | E | E4, F♯4, A♯4, C×5 | 4/2 | 10 | 138 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 |
|---|---|---|---|
| F♯aug | drops E | 1 3 ♯5 | 3 |
| F♯7 | C× becomes C♯ | 1 3 5 ♭7 | 3 |
| F♯9 | C× becomes C♯, G♯ | 1 3 5 ♭7 9 | 3 |
| F♯ | C×, E becomes C♯ | 1 3 5 | 2 |
| F♯maj7 | C×, E becomes C♯, E♯ | 1 3 5 7 | 2 |
| F♯m7 | A♯, C× becomes A, C♯ | 1 ♭3 5 ♭7 | 2 |
| F♯m7♭5 | A♯, C× becomes A, C | 1 ♭3 ♭5 ♭7 | 2 |
| F♯7sus4 | A♯, C× becomes B, C♯ | 1 4 5 ♭7 | 2 |
| F♯6 | C×, E becomes C♯, D♯ | 1 3 5 6 | 2 |
| F♯add9 | C×, E becomes C♯, G♯ | 1 3 5 9 | 2 |
Frequencies
| Note | MIDI | Frequency |
|---|---|---|
| F♯3 | 54 | 185.00 Hz |
| A♯3 | 58 | 233.08 Hz |
| C×4 | 62 | 293.66 Hz |
| E4 | 64 | 329.63 Hz |
Reference pitch A440, 12-TET, close root position.
Set theory: prime form, Forte number, interval vector
- Absolute pitch class set
- {6, 10, 2, 4}
- Normal order
- [2, 4, 6, 10]
- Prime form
- (0248)
- Forte number
- 4-24
- Interval vector
- <020301>
| Pair | Interval | Semitones | Interval class |
|---|---|---|---|
| F♯ to A♯ | Major third | 4 | 4 |
| F♯ to C× | Minor sixth | 8 | 4 |
| F♯ to E | Minor seventh | 10 | 2 |
| A♯ to C× | Major third | 4 | 4 |
| A♯ to E | Tritone | 6 | 6 |
| C× to E | Major second | 2 | 2 |
Where these facts come from
Every value on this page is derived from the note formula for a augmented 7th 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.