5632/5625: Difference between revisions

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The vishdel comma is an [[11-limit]] [[unnoticeable comma]] with a ratio of 5632/5625, a monzo of [9 -2 -4 0 1⟩, and a size of 2.1531 ~~cents~~. It is the amount that the [[11/1|eleventh harmonic]] overshoots two [[3/2|perfect fifths]], four [[5/4|major thirds]], and an [[2/1|octave]] combined. It is tempered out in 11-limit extensions of temperaments such as [[vishnu]], [[grendel]], [[quasiorwell]], [[hemithirds]], and [[decoid]].

The '''vishdel comma''' is an [[11-limit]] [[unnoticeable comma]] with a ratio of '''5632/5625''', a monzo of {{monzo| 9 -2 -4 0 1 }}, and a size of 2.1531 [[cent]]s. It is the amount that the [[11/1|eleventh harmonic]] overshoots two [[3/2|perfect fifths]], four [[5/4|major thirds]], and an [[2/1|octave]] combined. It is tempered out in 11-limit extensions of temperaments such as [[vishnu]], [[grendel]], [[quasiorwell]], [[hemithirds]], and [[decoid]].

== Temperament ==

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[[Comma list]]: 5632/5625

[[Mapping]]: [⟨1 0 0 -9], ⟨0 1 0 2], ⟨0 0 1 4]]

[[Mapping]]: [{{val| 1 0 0 -9 }}, {{val| 0 1 0 2 }}, {{val| 0 0 1 4 }}]

[[POTE generator~~|POTE generators~~]]: ~3 = ~~1902~~.1744, ~5 = ~~2786~~.7968

[[POTE generator]]s: ~3/2 = 702.1744, ~5/4 = 386.7968

[[~~Val|Vals~~]]: 31, 34, 53, 65, 87, 118, 152, 183, 217, 270

[[Optimal GPV sequence]]: 31, 34, 53, 65, 87, 118, 152, 183, 217, 270

== See also ==

* [[Unnoticeable comma]]

* [[Rank-4 temperament~~|Rank-4 temperaments~~]], where this comma's rank-4 temperament should be added to.

* [[Rank-4 temperament]], where this comma's rank-4 temperament should be added to.

[[Category:11-limit]]

[[Category:Unnoticeable comma]]

[[Category:Vishdel]]

@@ Line 1: / Line 1: @@
-The vishdel comma is an [[11-limit]] [[unnoticeable comma]] with a ratio of 5632/5625, a monzo of [9 -2 -4 0 1⟩, and a size of 2.1531 cents. It is the amount that the [[11/1|eleventh harmonic]] overshoots two [[3/2|perfect fifths]], four [[5/4|major thirds]], and an [[2/1|octave]] combined. It is tempered out in 11-limit extensions of temperaments such as [[vishnu]], [[grendel]], [[quasiorwell]], [[hemithirds]], and [[decoid]].
+The '''vishdel comma''' is an [[11-limit]] [[unnoticeable comma]] with a ratio of '''5632/5625''', a monzo of {{monzo| 9 -2 -4 0 1 }}, and a size of 2.1531 [[cent]]s. It is the amount that the [[11/1|eleventh harmonic]] overshoots two [[3/2|perfect fifths]], four [[5/4|major thirds]], and an [[2/1|octave]] combined. It is tempered out in 11-limit extensions of temperaments such as [[vishnu]], [[grendel]], [[quasiorwell]], [[hemithirds]], and [[decoid]].
 == Temperament ==
@@ Line 9: / Line 9: @@
 [[Comma list]]: 5632/5625
-[[Mapping]]: [⟨1 0 0 -9], ⟨0 1 0 2], ⟨0 0 1 4]]
+[[Mapping]]: [{{val| 1 0 0 -9 }}, {{val| 0 1 0 2 }}, {{val| 0 0 1 4 }}]
-[[POTE generator|POTE generators]]: ~3 = 1902.1744, ~5 = 2786.7968
+[[POTE generator]]s: ~3/2 = 702.1744, ~5/4 = 386.7968
-[[Val|Vals]]: 31, 34, 53, 65, 87, 118, 152, 183, 217, 270
+[[Optimal GPV sequence]]: 31, 34, 53, 65, 87, 118, 152, 183, 217, 270
 == See also ==
 * [[Unnoticeable comma]]
-* [[Rank-4 temperament|Rank-4 temperaments]], where this comma's rank-4 temperament should be added to.
+* [[Rank-4 temperament]], where this comma's rank-4 temperament should be added to.
 [[Category:11-limit]]
 [[Category:Unnoticeable comma]]
+[[Category:Vishdel]]