F Diminished Scale (Half-Whole)
Notes in the F Diminished Scale (Half-Whole)
| Degree | Name | Note | Frequency (A=440) |
|---|---|---|---|
| 1 | Tonic | F | 349.228 Hz |
| ♭2 | Altered 2nd | G♭ | 369.994 Hz |
| ♭3 | Minor Mediant | A♭ | 415.305 Hz |
| 3 | Major Mediant | A | 440.000 Hz |
| ♯4 | Tritone | B | 493.883 Hz |
| 5 | Dominant | C | 261.626 Hz |
| 6 | Major Submediant | D | 293.665 Hz |
| ♭7 | Subtonic | E♭ | 311.127 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 | B |
| 5 | Half Step (H) | 1 | B | 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 | B | B diminished | diminished |
| 5 | C | C diminished | diminished |
| 6 | D | D diminished | diminished |
| ♭7 | E♭ | E♭ diminished | diminished |
Key Signature
1 ♭ — The F key signature uses B♭.
F Diminished Scale (Half-Whole) in Practice
The F Diminished Scale (Half-Whole) uses the key signature of 1 flat (B♭). F major has one flat (Bb) and a warm, pastoral quality. It is one of the most natural keys for wind instruments and is frequently used in orchestral and choral music. On guitar, F positions offer comfortable transposing instrument keys 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, B, C, D, E♭. In this key the signature has 1 flat (B♭). F is the home key of the French horn (horn in F) and a natural key for many brass and woodwind instruments. Jazz musicians encounter F constantly because it is the concert-pitch key when Bb instruments read in G, making it essential for jam sessions and lead sheet reading.
Tuning Frequencies Across Temperaments
Frequencies shown at A=440 Hz. View full temperament data for any note.
| Note | Equal Temp. | Pythagorean | Just Intonation |
|---|---|---|---|
| F | 349.228 Hz | 347.654 Hz | 348.834 Hz |
| G♭ | 369.994 Hz | 371.251 Hz | 367.911 Hz |
| A♭ | 415.305 Hz | 417.657 Hz | 418.601 Hz |
| A | 440.000 Hz | 440.000 Hz | 436.043 Hz |
| B | 493.883 Hz | 495.000 Hz | 490.548 Hz |
| C | 261.626 Hz | 260.740 Hz | 261.626 Hz |
| D | 293.665 Hz | 293.332 Hz | 294.329 Hz |
| E♭ | 311.127 Hz | 309.026 Hz | 313.951 Hz |
Related Scales
Transposing Instruments: F Diminished Scale (Half-Whole)
F is a natural key for B♭ instruments (trumpet, clarinet, tenor sax), which sound a major second lower than written. B♭ instruments reading in C produce F concert pitch. E♭ instruments (alto sax, baritone sax) reading in F sound a major sixth lower.