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The vishdel comma is an [[11-limit]] [[unnoticeable comma]] with a ratio of 5632/5625, a monzo of | {{Infobox Interval | ||
| 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 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 == | == Temperament == | ||
Tempering this comma out gives the rank-4 vishdel temperament. Below | 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 === | === 118 & 65 & 152 === | ||
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[[Comma list]]: 5632/5625 | [[Comma list]]: 5632/5625 | ||
[[Mapping]]: [ | [[Mapping]]: [{{val| 1 0 0 -9 }}, {{val| 0 1 0 2 }}, {{val| 0 0 1 4 }}] | ||
[[POTE generator | [[POTE generator]]s: ~3/2 = 702.1744, ~5/4 = 386.7968 | ||
{{Optimal ET sequence|legend=1| 31, 34, 53, 65, 87, 118, 152, 183, 217, 270}} | |||
== See also == | == See also == | ||
* [[Unnoticeable comma]] | * [[Unnoticeable comma]] | ||
* [[Rank-4 temperament | * [[Rank-4 temperament]], where this comma's rank-4 temperament should be added to. | ||
[[Category: | [[Category:Vishdel]] | ||
[[Category: | [[Category:Commas named by combining multiple temperament names]] | ||