B♭ Half-Diminished Seventh (Minor 7♭5)
Chord Tones: B♭ Half-Diminished Seventh (Minor 7♭5)
Symbol: ø7, m7♭5 — Formula: 1-♭3-♭5-♭7
| Degree | Note | Frequency (A=440, Equal) |
|---|---|---|
| 1 | B♭4 | 466.164 Hz |
| ♭3 | D♭4 | 277.183 Hz |
| ♭5 | E4 | 329.628 Hz |
| ♭7 | A♭4 | 415.305 Hz |
Chord Notation
| Notation Type | Symbol / Value |
|---|---|
| Lead Sheet Symbol | B♭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 | B♭4 – D♭4 – E4 – A♭4 | B♭ | B♭ Half-Diminished Seventh (Minor 7♭5) |
| First Inversion | D♭4 – E4 – A♭4 – B♭4 | D♭ | B♭ Half-Diminished Seventh (Minor 7♭5)/D♭ |
| Second Inversion | E4 – A♭4 – B♭4 – D♭4 | E | B♭ Half-Diminished Seventh (Minor 7♭5)/E |
| Third Inversion | A♭4 – B♭4 – D♭4 – E4 | A♭ | B♭ Half-Diminished Seventh (Minor 7♭5)/A♭ |
Harmonic Function
The B♭ half diminished chord commonly functions as the subtonic (♭VII) in C major or subdominant 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 B♭ Half-Diminished Seventh (Minor 7♭5) specifically contains 4 notes: B♭, D♭, E, A♭ (formula: 1-♭3-♭5-♭7). On piano, Bb-rooted chords start on a black key and create hand shapes that jazz pianists find ideal for voicing seventh chords and extended harmonies. Jazz standards, swing, and big band charts are heavily weighted toward Bb because it allows horn sections to play in their most comfortable range.
Common Progressions
The B♭ 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 B♭ 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 |
|---|---|---|---|
| B♭4 | 466.164 Hz | 463.538 Hz | 470.926 Hz |
| D♭4 | 277.183 Hz | 278.437 Hz | 279.067 Hz |
| E4 | 329.628 Hz | 330.001 Hz | 327.032 Hz |
| A♭4 | 415.305 Hz | 417.657 Hz | 418.601 Hz |
Scales Containing the B♭ Half-Diminished Seventh (Minor 7♭5)
These scales include the B♭ Half-Diminished Seventh (Minor 7♭5) as a diatonic or characteristic chord: