Diminished seventh chord
The diminished seventh chord is a tetrad that comprises four identical minor thirds closing at the octave. In the 5-limit, the simplest interpretation is a 25-odd-limit essentially tempered chord of the dimipent temperament, the temperament named after this chord.
- (Dimipent) 1 – 6/5 – 25/18 – 5/3, with steps 6/5, 6/5, 6/5, 6/5.
In meantone
Before the ubiquity of 12edo, a diminished seventh chord was simply treated as a tetrad comprising a root, minor third, diminished fifth, and diminished seventh, and did not imply an equal tuning of all four intervals. It can be viewed as a 9-odd-limit essentially tempered chord of starling. See starling chords. This is still compatible with 12edo and is perhaps as authentic as the 25-odd-limit interpretation above.
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