Dominant seventh sharp five chord: Difference between revisions

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== In just intonation ==

In the [[7-limit]]:

* [[16:20:25:28]] is a [[condissonant]] chord found in [[Euler-Fokker genus|genus]] 52{{dot}}7. In archytas temperament, it is [[tempered together]] with 144:180:225:256.

* [[36:45:56:64]] is a condissonant chord found in genus 32{{dot}}5{{dot}}7. In marvel temperament, it is tempered together with 144:180:225:256.

In the [[5-limit]]:

* [[20:25:32:36]], found on I+ ({{Frac|1|1}}) and VI+ ({{Frac|4|3}}) in the [[duodene]], is a simple [[preimage]] of the 25-odd-limit chord found in augmented temperament, substituting an 8/5 minor sixth in place of the augmented fifth.

* [[80:100:125:144]], found in genus 32{{dot}}53, is a 125-odd-limit preimage of the chord found in meantone.

* [[144:180:225:256]], found on ♭III+ ({{Frac|6|5}}) and ♭VII+ ({{Frac|9|5}}) in the [[duodene]], is a preimage of both the 5-limit meantone chord and the simpler 7-limit chords found in archytas and marvel temperaments.

* [[180:225:288:320]], found on V+ ({{Frac|3|2}}) and II+ ({{Frac|9|8}}) in the [[duodene]], is tempered together with 144:180:225:256 in augmented temperament, substituting an 8/5 minor sixth in place of the augmented fifth.

[[Category:Just intonation chords]]

[[Category:Dominant seventh sharp five chords| ]]

[[Category:Essentially tempered chords]]

~~{{stub}}~~

[[Category:9-odd-limit chords]]

@@ Line 24: / Line 24: @@
 == In just intonation ==
+In the [[7-limit]]:
+* [[16:20:25:28]] is a [[condissonant]] chord found in [[Euler-Fokker genus|genus]] 5<sup>2</sup>{{dot}}7. In archytas temperament, it is [[tempered together]] with 144:180:225:256.
+* [[36:45:56:64]] is a condissonant chord found in genus 3<sup>2</sup>{{dot}}5{{dot}}7. In marvel temperament, it is tempered together with 144:180:225:256.
+In the [[5-limit]]:
+* [[20:25:32:36]], found on I+ ({{Frac|1|1}}) and VI+ ({{Frac|4|3}}) in the [[duodene]], is a simple [[preimage]] of the 25-odd-limit chord found in augmented temperament, substituting an 8/5 minor sixth in place of the augmented fifth.
+* [[80:100:125:144]], found in genus 3<sup>2</sup>{{dot}}5<sup>3</sup>, is a 125-odd-limit preimage of the chord found in meantone.
+* [[144:180:225:256]], found on ♭III+ ({{Frac|6|5}}) and ♭VII+ ({{Frac|9|5}}) in the [[duodene]], is a preimage of both the 5-limit meantone chord and the simpler 7-limit chords found in archytas and marvel temperaments.
+* [[180:225:288:320]], found on V+ ({{Frac|3|2}}) and II+ ({{Frac|9|8}}) in the [[duodene]], is tempered together with 144:180:225:256 in augmented temperament, substituting an 8/5 minor sixth in place of the augmented fifth.
 [[Category:Just intonation chords]]
 [[Category:Dominant seventh sharp five chords| ]]
+[[Category:Essentially tempered chords]]
-{{stub}}
+[[Category:9-odd-limit chords]]