Augmented triad: Difference between revisions

Bcmills (talk | contribs)
add categories for Marvel chord
Bcmills (talk | contribs)
associate 20:25:32 and 25:32:40 more closely with 16:20:25
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In the [[5-limit]]:
In the [[5-limit]]:
* [[16:20:25]] is found on ♭II+ ({{Frac|16|15}}), ♭III+ ({{Frac|6|5}}) ♭VI+ ({{Frac|8|5}}), and ♭VII+ ({{Frac|9|5}}) in the [[duodene]].
* [[16:20:25]] is found on ♭II+ ({{Frac|16|15}}), ♭III+ ({{Frac|6|5}}) ♭VI+ ({{Frac|8|5}}), and ♭VII+ ({{Frac|9|5}}) in the [[duodene]]. Its [[rotation|rotations]], [[20:25:32]] and [[25:32:40]], represent chords that would be enharmonically equivalent to itself in augmented temperament, substituting a minor sixth and a diminished fourth successively in place of the augmented fifth and major third.
* [[20:25:32]] is found on I+ ({{Frac|1|1}}), II+ ({{Frac|9|8}}), IV+ ({{Frac|4|3}}), and V+ ({{Frac|3/2}}) in the duodene. It substitutes the 8/5 minor sixth found in augmented temperament in place of the 25/16 augmented fifth.
* [[25:32:40]] is found on III+ ({{Frac|5|4}}), ♯IV+ ({{Frac|45|32}}), VI+ ({{Frac|5|3}}), VII+ ({{Frac|15|8}}) in the duodene. It substitutes an [[8/5]] ''minor sixth'' and [[32/25]] ''diminished fourth'' in place of the augmented fifth and lower major third respectively.


In the [[3-limit]]:
In the [[3-limit]]: