F♯ Half-Diminished Seventh (Minor 7♭5)
Chord Tones: F♯ Half-Diminished Seventh (Minor 7♭5)
Symbol: ø7, m7♭5 — Formula: 1-♭3-♭5-♭7
| Degree | Note | Frequency (A=440, Equal) |
|---|---|---|
| 1 | F♯4 | 369.994 Hz |
| ♭3 | A4 | 440.000 Hz |
| ♭5 | C4 | 261.626 Hz |
| ♭7 | E4 | 329.628 Hz |
Chord Notation
| Notation Type | Symbol / Value |
|---|---|
| Lead Sheet Symbol | F♯ø7 |
| All Common Symbols | ø7, m7♭5 |
| Interval Formula | 1-♭3-♭5-♭7 |
| Harmonic Category | dissonant |
Roman numeral (e.g. I, IV, V) and Nashville Number notation are key-dependent. See Keys pages for chord function within specific keys.
Inversions
| Inversion | Notes (low to high) | Bass Note | Slash Notation |
|---|---|---|---|
| Root Position | F♯4 – A4 – C4 – E4 | F♯ | F♯ Half-Diminished Seventh (Minor 7♭5) |
| First Inversion | A4 – C4 – E4 – F♯4 | A | F♯ Half-Diminished Seventh (Minor 7♭5)/A |
| Second Inversion | C4 – E4 – F♯4 – A4 | C | F♯ Half-Diminished Seventh (Minor 7♭5)/C |
| Third Inversion | E4 – F♯4 – A4 – C4 | E | F♯ Half-Diminished Seventh (Minor 7♭5)/E |
Harmonic Function
The F♯ half diminished chord commonly functions as the tritone substitution in C major or tonic in F♯ major. Its harmonic role varies by key — in major keys it provides stable harmonic grounding.
The half-diminished chord (minor seven flat five) combines a diminished triad with a minor seventh. It is the ii chord in minor keys and an essential sound in jazz and classical harmony. The F♯ Half-Diminished Seventh (Minor 7♭5) specifically contains 4 notes: F♯, A, C, E (formula: 1-♭3-♭5-♭7). On piano, F#-rooted chords place the root on a black key, creating hand positions that many pianists find ergonomically comfortable for fast passages. Progressive rock, jazz fusion, and electronic music use F#-rooted chords to create unexpected harmonic shifts and chromatic modulations.
Common Progressions
The F♯ Half-Diminished Seventh (Minor 7♭5) frequently appears in these progression patterns (shown in Roman numeral notation relative to key):
Songs Featuring the Half-Diminished Seventh (Minor 7♭5)
Well-known songs where the F♯ Half-Diminished Seventh (Minor 7♭5) — or this chord type — plays a prominent role:
- Autumn Leaves (minor ii chord) – jazz standard
- Beautiful Love – jazz standard
- Solar – Miles Davis
Tuning Frequencies Across Temperaments
Frequencies shown at A=440 Hz. View full temperament data for any note.
| Note | Equal Temp. | Pythagorean | Just Intonation |
|---|---|---|---|
| F♯4 | 369.994 Hz | 371.251 Hz | 367.911 Hz |
| A4 | 440.000 Hz | 440.000 Hz | 436.043 Hz |
| C4 | 261.626 Hz | 260.740 Hz | 261.626 Hz |
| E4 | 329.628 Hz | 330.001 Hz | 327.032 Hz |
Scales Containing the F♯ Half-Diminished Seventh (Minor 7♭5)
These scales include the F♯ Half-Diminished Seventh (Minor 7♭5) as a diatonic or characteristic chord: