Dominant seventh flat five chord: Difference between revisions

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* (Marvel) 1/1 ‒ 5/4 ‒ 10/7 ‒ 16/9, with steps 5/4, [[8/7]], 5/4

Similarly, in [[starling]] temperament, which tempers out [[126/125]] a ~[[9/5]] minor seventh is equated with ~25/14, which combines with a 10/7~[[36/25]] diminished fifth to give a 9-odd-limit essentially tempered chord:

Similarly, in [[starling]] temperament, which tempers out [[126/125]], a ~[[9/5]] minor seventh is equated with ~25/14, which combines with a 10/7~[[36/25]] diminished fifth to give a 9-odd-limit essentially tempered chord:

* (Starling) 1/1 ‒ 5/4 ‒ 10/7 ‒ 9/5, with steps 5/4, 8/7, 5/4

[[Septimal meantone]], which is well-represented by the historically prevalent [[quarter-comma meantone]]), tempers together all of the above chords, so any of the those interpretations may be relevant for dominant seventh flat five chords found in common-practice music.

[[Septimal meantone]], which is well-represented by the historically prevalent [[quarter-comma meantone]], tempers together all of the above chords, so any of the those interpretations may be relevant for dominant seventh flat five chords found in common-practice music.

== In just intonation ==

In the [[7-limit]]:

* [[28:35:40:50]] corresponds to a just interpretation of the essentially-tempered chords of marvel and starling temperament.

* [[20:25:28:35]] (1/1 - 5/4 - 7/5 - 7/4)

* [[28:35:40:50]], found in [[Euler-Fokker genus|genus]] 5<sup>2</sup>{{dot}}7, corresponds to a just interpretation of the essentially-tempered chords of marvel and starling temperament.

In the [[5-limit]]:

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[[Category:Just intonation chords]]

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

[[Category:Essentially tempered chords]]

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

@@ Line 13: / Line 13: @@
 * (Marvel) 1/1 ‒ 5/4 ‒ 10/7 ‒ 16/9, with steps 5/4, [[8/7]], 5/4
-Similarly, in [[starling]] temperament, which tempers out [[126/125]] a ~[[9/5]] minor seventh is equated with ~25/14, which combines with a 10/7~[[36/25]] diminished fifth to give a 9-odd-limit essentially tempered chord:
+Similarly, in [[starling]] temperament, which tempers out [[126/125]], a ~[[9/5]] minor seventh is equated with ~25/14, which combines with a 10/7~[[36/25]] diminished fifth to give a 9-odd-limit essentially tempered chord:
 * (Starling) 1/1 ‒ 5/4 ‒ 10/7 ‒ 9/5, with steps 5/4, 8/7, 5/4
-[[Septimal meantone]], which is well-represented by the historically prevalent [[quarter-comma meantone]]), tempers together all of the above chords, so any of the those interpretations may be relevant for dominant seventh flat five chords found in common-practice music.
+[[Septimal meantone]], which is well-represented by the historically prevalent [[quarter-comma meantone]], tempers together all of the above chords, so any of the those interpretations may be relevant for dominant seventh flat five chords found in common-practice music.
 == In just intonation ==
 In the [[7-limit]]:
-* [[28:35:40:50]] corresponds to a just interpretation of the essentially-tempered chords of marvel and starling temperament.
+* [[20:25:28:35]] (1/1 - 5/4 - 7/5 - 7/4)
+* [[28:35:40:50]], found in [[Euler-Fokker genus|genus]] 5<sup>2</sup>{{dot}}7, corresponds to a just interpretation of the essentially-tempered chords of marvel and starling temperament.
 In the [[5-limit]]:
@@ Line 34: / Line 35: @@
 [[Category:Just intonation chords]]
 [[Category:Dominant seventh flat five chords| ]]
+[[Category:Essentially tempered chords]]
+[[Category:9-odd-limit chords]]