5632/5625: Difference between revisions

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| Ratio = 5632/5625

| Name = vishdel comma

| Color name = s1og<sup>4</sup>2, saloquadgu 2nd

| Comma = yes

}}

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]].

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 also the amount by which four major thirds falls short of [[11/9]] plus an octave. It is tempered out in 11-limit extensions of temperaments such as [[vishnu]], [[grendel]], [[quasiorwell]], [[hemithirds]], and [[decoid]].

== Temperament ==

Tempering this comma out gives the rank-4 vishdel temperament. Below ~~however,~~ is a rank-3 subgroup temperament ~~since~~ the vishdel comma doesn't have any ~~sevens in it~~.

Tempering this comma out in the full 11-limit gives the rank-4 vishdel temperament. Below is the rank-3 subgroup temperament as the vishdel comma doesn't have any 7's.

=== 118 & 65 & 152 ===

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

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

{{Optimal ET sequence|legend=1| 31, 34, 53, 65, 87, 118, 152, 183, 217, 270}}

== See also ==

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[[Category:Vishdel]]

[[Category:Commas named by combining multiple temperament names]]

@@ Line 2: / Line 2: @@
 | Ratio = 5632/5625
 | Name = vishdel comma
+| Color name = s1og<sup>4</sup>2, saloquadgu 2nd
 | Comma = yes
 }}
-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]].
+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 also the amount by which four major thirds falls short of [[11/9]] plus an octave. It is tempered out in 11-limit extensions of temperaments such as [[vishnu]], [[grendel]], [[quasiorwell]], [[hemithirds]], and [[decoid]].
 == Temperament ==
-Tempering this comma out gives the rank-4 vishdel temperament. Below however, is a rank-3 subgroup temperament since the vishdel comma doesn't have any sevens in it.
+Tempering this comma out in the full 11-limit gives the rank-4 vishdel temperament. Below is the rank-3 subgroup temperament as the vishdel comma doesn't have any 7's.
 === 118 & 65 & 152 ===
@@ Line 18: / Line 19: @@
 [[POTE generator]]s: ~3/2 = 702.1744, ~5/4 = 386.7968
-[[Optimal GPV sequence]]: 31, 34, 53, 65, 87, 118, 152, 183, 217, 270
+{{Optimal ET sequence|legend=1| 31, 34, 53, 65, 87, 118, 152, 183, 217, 270}}
 == See also ==
@@ Line 25: / Line 26: @@
 [[Category:Vishdel]]
+[[Category:Commas named by combining multiple temperament names]]