20:25:30:36: Difference between revisions

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{{Infobox Chord|20:25:30:36|~~Name~~ = ~~Major~~-~~minor seventh~~}}

~~The~~ '''major-minor seventh chord''~~' is a [[tetrad]] in [[5-limit]] harmony~~, ~~tuned 20:25:30:36 (1⁄1–5⁄4–3⁄2–9⁄5) 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 ~~1⁄1~~ (I) and ~~4⁄3~~ (IV) in the [[duodene]].

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

In [[~~Meantone_family#Septimal_meantone|septimal~~ meantone]], 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~~]].

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]].

[[~~Category~~:~~Dominant seventh chords~~]]

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]].

[[Category:~~Essentially tempered~~ chords]]

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|Name = Major-minor seventh}}
+{{Infobox Chord|20:25:30:36|ColorName=yo gu-7 or y,g7}}
-The '''major-minor seventh chord''' is a [[tetrad]] in [[5-limit]] harmony, tuned 20:25:30:36 (1⁄1–5⁄4–3⁄2–9⁄5) 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 1⁄1 (I) and 4⁄3 (IV) in the [[duodene]].
+The major-minor seventh chord is found rooted at the I ({{Frac|1|1}}) and IV ({{Frac|4|3}}) of the [[duodene]].
-In [[Meantone_family#Septimal_meantone|septimal meantone]], 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]].
+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]].
-[[Category:Dominant seventh chords]]
+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]].
-[[Category:Essentially tempered chords]]
+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 -->