C Half-Diminished Seventh (Minor 7♭5)
Chord Tones: C Half-Diminished Seventh (Minor 7♭5)
Symbol: ø7, m7♭5 — Formula: 1-♭3-♭5-♭7
| Degree | Note | Frequency (A=440, Equal) |
|---|---|---|
| 1 | C4 | 261.626 Hz |
| ♭3 | D♯4 | 311.127 Hz |
| ♭5 | F♯4 | 369.994 Hz |
| ♭7 | A♯4 | 466.164 Hz |
Chord Notation
| Notation Type | Symbol / Value |
|---|---|
| Lead Sheet Symbol | Cø7 |
| 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 | C4 – D♯4 – F♯4 – A♯4 | C | C Half-Diminished Seventh (Minor 7♭5) |
| First Inversion | D♯4 – F♯4 – A♯4 – C4 | D♯ | C Half-Diminished Seventh (Minor 7♭5)/D♯ |
| Second Inversion | F♯4 – A♯4 – C4 – D♯4 | F♯ | C Half-Diminished Seventh (Minor 7♭5)/F♯ |
| Third Inversion | A♯4 – C4 – D♯4 – F♯4 | A♯ | C Half-Diminished Seventh (Minor 7♭5)/A♯ |
Harmonic Function
The C half diminished chord commonly functions as the tonic (I) in C major/minor. 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 C Half-Diminished Seventh (Minor 7♭5) specifically contains 4 notes: C, D♯, F♯, A♯ (formula: 1-♭3-♭5-♭7). On piano, C-rooted chords sit entirely on white keys in their basic triad form, making them the first chords most students learn. Pop, folk, and singer-songwriter music heavily use C-rooted chords because open-position guitar voicings and piano shapes are immediately accessible.
Common Progressions
The C 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 C 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 |
|---|---|---|---|
| C4 | 261.626 Hz | 260.740 Hz | 261.626 Hz |
| D♯4 | 311.127 Hz | 309.026 Hz | 313.951 Hz |
| F♯4 | 369.994 Hz | 371.251 Hz | 367.911 Hz |
| A♯4 | 466.164 Hz | 463.538 Hz | 470.926 Hz |
Scales Containing the C Half-Diminished Seventh (Minor 7♭5)
These scales include the C Half-Diminished Seventh (Minor 7♭5) as a diatonic or characteristic chord: