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

Formula: H-W-H-W-H-W-H-W
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.