F♯ Diminished Scale (Half-Whole)
Notes in the F♯ Diminished Scale (Half-Whole)
| Degree | Name | Note | Frequency (A=440) |
|---|---|---|---|
| 1 | Tonic | F♯ | 369.994 Hz |
| ♭2 | Altered 2nd | G | 391.995 Hz |
| ♭3 | Minor Mediant | A | 440.000 Hz |
| 3 | Major Mediant | A♯ | 466.164 Hz |
| ♯4 | Tritone | C | 261.626 Hz |
| 5 | Dominant | C♯ | 277.183 Hz |
| 6 | Major Submediant | D♯ | 311.127 Hz |
| ♭7 | Subtonic | E | 329.628 Hz |
Interval Pattern
| Step | Interval | Semitones | From Note | To Note |
|---|---|---|---|---|
| 1 | Half Step (H) | 1 | F♯ | G |
| 2 | Whole Step (W) | 2 | G | A |
| 3 | Half Step (H) | 1 | A | A♯ |
| 4 | Whole Step (W) | 2 | A♯ | C |
| 5 | Half Step (H) | 1 | C | C♯ |
| 6 | Whole Step (W) | 2 | C♯ | D♯ |
| 7 | Half Step (H) | 1 | D♯ | E |
| 8 | Whole Step (W) | 2 | E | F♯ |
Chords Built on Scale Degrees
| Degree | Note | Chord | Quality |
|---|---|---|---|
| 1 | F♯ | F♯ diminished | diminished |
| ♭2 | G | G diminished | diminished |
| ♭3 | A | A diminished | diminished |
| 3 | A♯ | A♯ diminished | diminished |
| ♯4 | C | C diminished | diminished |
| 5 | C♯ | C♯ diminished | diminished |
| 6 | D♯ | D♯ diminished | diminished |
| ♭7 | E | E diminished | diminished |
Key Signature
6 ♯ — The F♯ key signature uses F♯, C♯, G♯, D♯, A♯, E♯.
F♯ Diminished Scale (Half-Whole) in Practice
The F♯ Diminished Scale (Half-Whole) uses the key signature of 6 sharps (F♯, C♯, G♯, D♯, A♯, E♯). F# major has six sharps and is enharmonically equivalent to Gb major. It is used when a sharp key is preferred over the flat alternative in notation. On guitar, F♯ positions offer open-string resonance for fingering positions for this scale.
The half-whole diminished scale alternates half and whole steps, creating an 8-note symmetrical scale ideal for dominant chord improvisation and tension-building in jazz. When played starting on F♯, the 8 notes are F♯, G, A, A♯, C, C♯, D♯, E. In this key the signature has 6 sharps (F♯, C♯, G♯, D♯, A♯, E♯). F# major uses all five black keys plus E# and B#, making it one of the most enharmonically complex keys on keyboard instruments. In modern pop and electronic music, F# appears frequently because digital instruments have no ergonomic preference, and producers choose it for its distinctive brightness.
Tuning Frequencies Across Temperaments
Frequencies shown at A=440 Hz. View full temperament data for any note.
| Note | Equal Temp. | Pythagorean | Just Intonation |
|---|---|---|---|
| F♯ | 369.994 Hz | 371.251 Hz | 367.911 Hz |
| G | 391.995 Hz | 391.111 Hz | 392.438 Hz |
| A | 440.000 Hz | 440.000 Hz | 436.043 Hz |
| A♯ | 466.164 Hz | 463.538 Hz | 470.926 Hz |
| C | 261.626 Hz | 260.740 Hz | 261.626 Hz |
| C♯ | 277.183 Hz | 278.437 Hz | 279.067 Hz |
| D♯ | 311.127 Hz | 309.026 Hz | 313.951 Hz |
| E | 329.628 Hz | 330.001 Hz | 327.032 Hz |
Related Scales
Guitar: F♯ Diminished Scale (Half-Whole) Positions
The F♯ key offers 6 sharps (F♯, C♯, G♯, D♯, A♯, E♯) on guitar. Sharp-side keys like F♯ are idiomatic guitar keys because open strings (E, A, D, G, B, E) align with the scale's natural resonance points.