Half-diminished seventh chord

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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), Bø7 or Bø, has pitches B-D-F-A: 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". A half-diminished chord can be added to a note four...

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