Diminished seventh chord: Difference between revisions
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{{Wikipedia}} | {{Wikipedia}} | ||
The '''diminished seventh chord''' is a [[tetrad]] | The '''diminished seventh chord''' is a [[tetrad]] traditionally described as comprising a root, [[minor]] third, [[interval quality|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. | * (Dimipent) 1 – 6/5 – 25/18 – 5/3, with steps 6/5, 6/5, 6/5, 6/5. | ||
== In meantone == | == In meantone == | ||
Before the ubiquity of [[12edo]], a diminished seventh chord | 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. | ||
Revision as of 16:11, 21 August 2024
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.
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