Diminished seventh chord
The diminished seventh chord is a tetrad traditionally described as comprising a root, minor third, diminished fifth, and diminished seventh. In contemporary 12edo music, it is a stack of four identical minor thirds of ~6/5 closing at the octave, tempering out 648/625. 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 did not imply an equal tuning of all four thirds (technically three minor thirds and an augmented second). 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.
This page is a stub. You can help the Xenharmonic Wiki by expanding it. |