Construction
| Note | Interval | Degree |
|---|---|---|
| F | Root | 1 |
| A | Major 3rd | 3 |
| C | Perfect 5th | 5 |
| D | Major 6th | 6 |
Fingering
| Note | Key color | Right hand | Left hand |
|---|---|---|---|
| F | white | thumb (1) | little finger (5) |
| A | white | index finger (2) | middle finger (3) |
| C | white | middle finger (3) | index finger (2) |
| D | white | little finger (5) | thumb (1) |
Right hand: thumb (1) on F, index finger (2) on A, middle finger (3) on C, little finger (5) on D.
Left hand: little finger (5) on F, middle finger (3) on A, index finger (2) on C, thumb (1) on D.
F Major 6 Inversions
- Root positionF – A – C – D
- 1st inversion (F6/A)A – C – D – F
- 2nd inversion (F6/C)C – D – F – A
- 3rd inversion (F6/D)D – F – A – C
Key Signature
A chord has no key signature of its own, but the F Major 6 is the tonic (I) chord of F Major, whose key signature has 1 flat (B♭).
Order of flats
Flats are added in a fixed order — the reverse of the sharp order. Each new flat key adds the next flat on the list.
Mnemonic: Battle Ends And Down Goes Charles’ Father
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 – D aren’t exclusive to this chord. Depending on which note is the bass and how the chord functions, the same pitches also spell:
F Major 6 : Frequently Asked Questions
What is the F Major 6 chord on piano?
What notes are in the F Major 6 chord?
How does F6 differ from Fmaj7?
How does F6 differ from Dm7?
How is F6 used?
What songs use Major 6th?
Can I substitute F6 for F Major?
F Major 6th 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 C4 D4 | 9 | 124 mm | none | identical | |
| Close, first inversion | A3 C4 D4 F4 | 8 | 110 mm | none | identical | |
| Close, second inversion | C4 D4 F4 A4 | 9 | 124 mm | none | identical | |
| Close, third inversion | D4 F4 A4 C5 | 10 | 138 mm | none | identical | |
| Drop 2 | C3 F3 A3 D4 | 14 | 193 mm | none | identical | |
| Drop 3 | A2 F3 C4 D4 | 17 | 234 mm | none | identical | |
| Drop 2 and 4 | F2 C3 A3 D4 | 21 | 289 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 6 3 | F2 D3 A3 | 16 | 220 mm | omits C | subset | |
| Guide tones, 3 and 6 | A3 D4 | 5 | 69 mm | omits F and C | subset | |
| Rootless close | A3 C4 D4 | 5 | 69 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 | F3, A3, C4, D4 | 7 | 9 | 124 mm |
| First inversion: F6/A | A | A3, C4, D4, F4 | 6/5 | 8 | 110 mm |
| Second inversion: F6/C | C | C4, D4, F4, A4 | 4/3 | 9 | 124 mm |
| Third inversion: F6/D | D | D4, F4, A4, C5 | 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 | drops D | 1 3 5 | 3 |
| Fmaj7 | D becomes E | 1 3 5 7 | 3 |
| F7 | D becomes E♭ | 1 3 5 ♭7 | 3 |
| Fm6 | A becomes A♭ | 1 ♭3 5 6 | 3 |
| Fadd9 | D becomes G | 1 3 5 9 | 3 |
| Fmaj9 | D becomes E, G | 1 3 5 7 9 | 3 |
| F9 | D becomes E♭, G | 1 3 5 ♭7 9 | 3 |
| Fm | A, D becomes A♭ | 1 ♭3 5 | 2 |
| Faug | C, D becomes C♯ | 1 3 ♯5 | 2 |
| Fsus2 | A, D becomes G | 1 2 5 | 2 |
| Fsus4 | A, D becomes B♭ | 1 4 5 | 2 |
| Fm7 | A, D becomes A♭, E♭ | 1 ♭3 5 ♭7 | 2 |
Frequencies
| Note | MIDI | Frequency |
|---|---|---|
| F3 | 53 | 174.61 Hz |
| A3 | 57 | 220.00 Hz |
| C4 | 60 | 261.63 Hz |
| D4 | 62 | 293.66 Hz |
Reference pitch A440, 12-TET, close root position.
Set theory: prime form, Forte number, interval vector
- Absolute pitch class set
- {5, 9, 0, 2}
- Normal order
- [9, 0, 2, 5]
- Prime form
- (0358)
- Forte number
- 4-26
- Interval vector
- <012120>
| Pair | Interval | Semitones | Interval class |
|---|---|---|---|
| F to A | Major third | 4 | 4 |
| F to C | Perfect fifth | 7 | 5 |
| F to D | Major sixth | 9 | 3 |
| A to C | Minor third | 3 | 3 |
| A to D | Perfect fourth | 5 | 5 |
| C to D | Major second | 2 | 2 |
Where these facts come from
Every value on this page is derived from the note formula for a major 6th 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.