Half-diminished seventh chord

In music theory, the half-diminished seventh chord (also known as a half-diminished chord or a minor seventh flat five chord) is a seventh chord composed of a root note, together with a minor third, a diminished fifth, and a minor seventh (1, 3, 5, 7). For example, the half-diminished seventh chord built on B, commonly written as Bm7(♭5), or Bø7, has pitches B-D-F-A:

half-diminished seventh chord
Component intervals from root
minor seventh
diminished fifth (tritone)
minor third
root
Tuning
5:6:7:9 or 25:30:36:45
Forte no. / Complement
4-27 / 8-27

It can be represented by the integer notation {0, 3, 6, 10}.

The half-diminished seventh chord exists in root position and in three inversions. The first inversion is enharmonic to a minor sixth chord:

In diatonic harmony, the half-diminished seventh chord occurs naturally on the seventh scale degree of any major scale (for example, Bø7 in C major) and is thus a leading-tone seventh chord in the major mode. Similarly, the chord also occurs on the second degree of any natural minor scale (e.g., Dø7 in C minor). It has been described as a "considerable instability".

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