20:25:30:36: Difference between revisions

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'''20:25:30:36''', a ''major-minor seventh chord'', ~~is a [[tetrad]] in [[5-limit]] harmony, and~~ sometimes considered a form of [[dominant seventh chord]]. It combines a [[5/4]] major third with the [[consonant]] [[9/5]] seventh that would be found in a [[~~Ptolemaic~~ minor seventh chord]] on the same root, creating a [[36/25]] tritone between the two.

'''20:25:30:36''' is a ''major-minor seventh chord'', sometimes considered a form of [[dominant seventh chord]]. It combines a [[5/4]] major third with the [[consonant]] [[9/5]] seventh that would be found in a [[10:12:15:18|minor seventh chord]] on the same root, creating a [[36/25]] tritone between the two.

The major-minor seventh chord is found rooted at the I ({{Frac|1|1}}) and IV ({{Frac|4|3}}) of the [[duodene]].

In the [[meantone]] tuning of this chord, the ~9/5 seventh is equated with [[16/9]], making it equivalent to the meantone tuning of [[36:45:54:64]].

In the [[meantone]] tuning of this chord, the ~9/5 seventh is equated with ~[[16/9]], making it equivalent to the meantone tuning of [[36:45:54:64]].

In the [[septimal meantone]] tuning of this chord, the ~36/25 tritone is equated with the more consonant interval [[10/7]], and the major-minor seventh chord becomes an [[essentially tempered chord]] in the [[9-odd-limit]].

If [[128/125]] is tempered out, this chord is tuned identically to both [[256:320:375:450]] and [[128:160:192:225]].

[[Category:Dominant seventh chords|##]]

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-{{Infobox Chord|20:25:30:36}}
+{{Infobox Chord|20:25:30:36|ColorName=yo gu-7 or y,g7}}
-'''20:25:30:36''', a ''major-minor seventh chord'', is a [[tetrad]] in [[5-limit]] harmony, and sometimes considered a form of [[dominant seventh chord]]. It combines a [[5/4]] major third with the [[consonant]] [[9/5]] seventh that would be found in a [[Ptolemaic minor seventh chord]] on the same root, creating a [[36/25]] tritone between the two.
+'''20:25:30:36''' is a ''major-minor seventh chord'', sometimes considered a form of [[dominant seventh chord]]. It combines a [[5/4]] major third with the [[consonant]] [[9/5]] seventh that would be found in a [[10:12:15:18|minor seventh chord]] on the same root, creating a [[36/25]] tritone between the two.
 The major-minor seventh chord is found rooted at the I ({{Frac|1|1}}) and IV ({{Frac|4|3}}) of the [[duodene]].
-In the [[meantone]] tuning of this chord, the ~9/5 seventh is equated with [[16/9]], making it equivalent to the meantone tuning of [[36:45:54:64]].
+In the [[meantone]] tuning of this chord, the ~9/5 seventh is equated with ~[[16/9]], making it equivalent to the meantone tuning of [[36:45:54:64]].
 In the [[septimal meantone]] tuning of this chord, the ~36/25 tritone is equated with the more consonant interval [[10/7]], and the major-minor seventh chord becomes an [[essentially tempered chord]] in the [[9-odd-limit]].
+If [[128/125]] is tempered out, this chord is tuned identically to both [[256:320:375:450]] and [[128:160:192:225]].
 [[Category:Dominant seventh chords|##]] <!-- 2-digit first number -->