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Chord

Half-diminished seventh chord

The half-diminished seventh chord is a four-note chord made of a diminished triad and a minor seventh, written m7♭5 or with the sign ø. It is typical of minor cadences. A single note distinguishes it from the diminished seventh chord, the seventh.

Structure
diminished triad + minor seventh
Thirds
minor – minor – major (3 + 3 + 4 semitones)
Notation
m7♭5 (for example Bm7♭5), also ø
Example
B–D–F–A
Degree in A minor
ii, with seventh ii ø7
Not to be confused with
diminished seventh chord (3 + 3 + 3)

One note's difference from the diminished seventh chord

The page Chords lists the most important seventh chords. If you stack a further third on a triad, a seventh chord with four notes arises. The half-diminished consists of a diminished triad plus a minor seventh and, according to the page, is typical in minor cadences.

Seventh chordStructureExampleEffect according to the Chords page
Dominant seventh chordmajor triad + minor seventhG7full of tension, presses to the tonic
Major seventh chord (maj7)major triad + major seventhCmaj7soft, jazzy, floating
Minor seventh chord (m7)minor triad + minor seventhDm7round and mild
Half-diminished seventh chord (m7♭5)diminished triad + minor seventhBm7♭5typical in minor cadences

The name “half-diminished” expresses how far the chord is from the diminished seventh chord. Its three minor thirds give, according to the article The diminished seventh, four notes at an equal distance: from C: C, E♭, G♭, B♭♭ (sounds like A). In the half-diminished chord the top note is a semitone higher. The minor third on top is replaced by a major one.

Half-diminished: B–D–F–A

B D F A 3 st 3 st 4 st

Two minor thirds form the diminished triad B–D–F. The minor seventh A is added on top, a major third above F. The diminished fifth B–F is contained in the chord.

Diminished: B–D–F–A♭

B D F A♭ 3 st 3 st 3 st

The diminished seventh chord has three minor thirds. Instead of A there is A♭, the seventh is a semitone smaller. Only this one note distinguishes the two chords.

The diminished fifth in the chord

The triad inside consists of two minor thirds. Its fifth is, as the page Chords describes, reduced instead of perfect, and that is why it sounds tense and restless. In the half-diminished chord a diminished fifth therefore lies between root and fifth, in the example B–F. The page Diatonic chords explains the sign ° at vii: a diminished triad, tense and restless, which mostly presses to the tonic.

In the minor cadence

In minor the diminished triad is built on the second degree, in A minor that is B°. With the minor seventh A above it, this becomes the half-diminished seventh chord. In the cadence it leads to the dominant and to the tonic. Hear the path Bm7♭5 – E7 – Am:

Bm7♭5ii ø7E7V7Ami

The dominant E7 carries the leading tone G♯ from harmonic minor. See also Cadences.

Try it yourself: In Identify Chords you tell major, minor, diminished and augmented apart by the fifth. The diminished-sounding triad inside helps here too.

Common mistakes

  • Confusing half-diminished and diminished: The diminished seventh chord has three minor thirds, the half-diminished minor, minor, major. Only the top note is different.
  • Forgetting the seventh: Without the minor seventh a diminished triad is left.
  • Reading the sign wrongly: m7♭5 means minor seventh chord with a diminished fifth, not “minor plus flat”.