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 | F4 | 349.228 Hz |
| ♭3 | A♭4 | 415.305 Hz |
| ♭5 | B4 | 493.883 Hz |
| ♭7 | E♭4 | 311.127 Hz |
Chord Notation
| Notation Type | Symbol / Value |
|---|---|
| Lead Sheet Symbol | Fø7 |
| 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 | F4 – A♭4 – B4 – E♭4 | F | F Half-Diminished Seventh (Minor 7♭5) |
| First Inversion | A♭4 – B4 – E♭4 – F4 | A♭ | F Half-Diminished Seventh (Minor 7♭5)/A♭ |
| Second Inversion | B4 – E♭4 – F4 – A♭4 | B | F Half-Diminished Seventh (Minor 7♭5)/B |
| Third Inversion | E♭4 – F4 – A♭4 – B4 | E♭ | F Half-Diminished Seventh (Minor 7♭5)/E♭ |
Harmonic Function
The F half diminished chord commonly functions as the subdominant (IV) in C major — plagal cadence endpoint. 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♭, B, E♭ (formula: 1-♭3-♭5-♭7). On guitar, the F barre chord is famously one of the first challenging shapes beginners encounter, but its tight voicing produces a clear, focused sound. Classical, jazz, and gospel music frequently feature F-rooted chords, and brass-heavy arrangements in concert band naturally gravitate to keys that include F as a primary chord.
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 |
|---|---|---|---|
| F4 | 349.228 Hz | 347.654 Hz | 348.834 Hz |
| A♭4 | 415.305 Hz | 417.657 Hz | 418.601 Hz |
| B4 | 493.883 Hz | 495.000 Hz | 490.548 Hz |
| E♭4 | 311.127 Hz | 309.026 Hz | 313.951 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: