Diminished seventh chord: Difference between revisions
→In just intonation: give the duodene location of 75:90:108:128 |
list rotations of the stacked-6/5 chord as such |
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In the [[5-limit]]: | In the [[5-limit]]: | ||
* [[125:150:180:216]] is the 125-odd chord produced by stacking three [[6/5]] minor thirds. | * [[125:150:180:216]] is the 125-odd chord produced by stacking three [[6/5]] minor thirds. Its [[rotation|rotations]], [[90:108:125:150]], [[75:90:108:125]], and [[108:125:150:180]], represent chords that would be enharmonically equivalent to itself in dimipent temperament, substituting a [[125/108]] augmented wholetone in place of one of the minor thirds in the stack. | ||
* [[225:270:320:384]] is a 75-odd chord found on vii<sup>o7</sup> ({{Frac|15|8}}) in the duodene, and is closely related to the [[36:45:54:64]] dominant seventh chord, stacking on an additional minor third (to make a “dominant ninth”) and dropping the root. | * [[225:270:320:384]] is a 75-odd chord found on vii<sup>o7</sup> ({{Frac|15|8}}) in the duodene, and is closely related to the [[36:45:54:64]] dominant seventh chord, stacking on an additional minor third (to make a “dominant ninth”) and dropping the root. | ||
* [[75:90:108:128]] is a 75-odd chord found on iii<sup>o7</sup> ({{Frac|5|4}}) in the [[duodene]]. | * [[75:90:108:128]] is a 75-odd chord found on iii<sup>o7</sup> ({{Frac|5|4}}) in the [[duodene]]. | ||
In higher limits: | In higher limits: | ||
* [[10:12:14:17]] is a 17-limit interpretation of the chord associated with François-Joseph Fétis. | * [[10:12:14:17]] is a 17-limit interpretation of the chord associated with François-Joseph Fétis. | ||
[[Category:Just intonation chords]] | [[Category:Just intonation chords]] | ||