Diminished seventh chord: Difference between revisions

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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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[[Category:Just intonation chords]]
[[Category:Just intonation chords]]
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[[Category:Diminished seventh chords| ]] <!-- main article -->

Revision as of 11:08, 21 August 2024

English Wikipedia has an article on:

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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