Hypovishnuzma: Difference between revisions

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The '''hypovishnuzma''' ([[ratio]]: 254803968/244140625, {{monzo|legend=1| 20 5 -12 }}) is a [[medium comma|medium]] [[5-limit]] [[comma]], which is the difference between a stack of six [[25/24|classic chromatic semitones (25/24)]] and a [[4/3|perfect fourth (4/3)]], that is, (4/3)/(25/24)<sup>6</sup>, or simply the octave-reduced difference between five [[3/2]] perfect fifths and twelve [[5/4]] major thirds. In terms of commas, it is the difference between a stack of two [[128/125|dieses (128/125)]] and a [[15625/15552|kleisma (15625/15552)]]. This comma is larger than 25/24 itself, but if one more 25/24 is removed from the hypovishnuzma, we get the regular [[vishnuzma]].

~~'''254803968/244140625''', the '''hypovishnuzma''', is a~~ [[5-limit]] ~~comma~~, ~~which represents~~ the ~~difference between a stack of six classic chromatic semitones (~~[[~~25/24~~]]~~) and a perfect fourth (~~[[~~4/3~~]])~~. This comma~~ is ~~larger than 25/24 itself. If one more 25/24 is subtracted from~~ the hypovishnuzma, ~~we get~~ the [[~~vishnuzma~~]].

== Temperaments ==

[[Tempering out]] this comma leads to the 5-limit version of [[thuja]] temperament. {{EDOs| 15, 28, 43, 58, 73, and 101 }} are the only [[edo]]s that temper out this comma whose [[patent val]]s are [[enfactoring|unenfactored]]. Although [[129edo]] inherits its patent val from [[43edo]] (thus enfactored), 129 is the last integer patent val to temper out the hypovishnuzma, and curiously, also the last integer patent val to temper out [[81/80]], the syntonic comma.

~~Notable [[edo]]s that temper the hypovishnuzma include {{EDOs|15, 28, 43, 58, 73, 101}}. These are the only edos that temper out this~~ comma ~~whose~~ [[~~patent val~~]]s are [[enfactoring|unenfactored]]. Although 129edo inherits its patent val from 43edo (thus enfactored), 129p is the last integer patent val to temper out the hypovishnuzma, and curiously, also the last integer patent val to temper out [[81/80]], the syntonic comma.

== Etymology ==

This comma was named by [[ArrowHead294]] in 2024.

~~== See also ==~~

[[Category:Thuja]]

* [[~~Gallery of just intervals~~]]

[[Category:Commas named after mythology or literature]]

~~{{todo|expand}}~~

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+The '''hypovishnuzma''' ([[ratio]]: 254803968/244140625, {{monzo|legend=1| 20 5 -12 }}) is a [[medium comma|medium]] [[5-limit]] [[comma]], which is the difference between a stack of six [[25/24|classic chromatic semitones (25/24)]] and a [[4/3|perfect fourth (4/3)]], that is, (4/3)/(25/24)<sup>6</sup>, or simply the octave-reduced difference between five [[3/2]] perfect fifths and twelve [[5/4]] major thirds. In terms of commas, it is the difference between a stack of two [[128/125|dieses (128/125)]] and a [[15625/15552|kleisma (15625/15552)]]. This comma is larger than 25/24 itself, but if one more 25/24 is removed from the hypovishnuzma, we get the regular [[vishnuzma]].
-'''254803968/244140625''', the '''hypovishnuzma''', is a [[5-limit]] comma, which represents the difference between a stack of six classic chromatic semitones ([[25/24]]) and a perfect fourth ([[4/3]]). This comma is larger than 25/24 itself. If one more 25/24 is subtracted from the hypovishnuzma, we get the [[vishnuzma]].
+== Temperaments ==
+[[Tempering out]] this comma leads to the 5-limit version of [[thuja]] temperament. {{EDOs| 15, 28, 43, 58, 73, and 101 }} are the only [[edo]]s that temper out this comma whose [[patent val]]s are [[enfactoring|unenfactored]]. Although [[129edo]] inherits its patent val from [[43edo]] (thus enfactored), 129 is the last integer patent val to temper out the hypovishnuzma, and curiously, also the last integer patent val to temper out [[81/80]], the syntonic comma.
-Notable [[edo]]s that temper the hypovishnuzma include {{EDOs|15, 28, 43, 58, 73, 101}}. These are the only edos that temper out this comma whose [[patent val]]s are [[enfactoring|unenfactored]]. Although 129edo inherits its patent val from 43edo (thus enfactored), 129p is the last integer patent val to temper out the hypovishnuzma, and curiously, also the last integer patent val to temper out [[81/80]], the syntonic comma.
+== Etymology ==
+This comma was named by [[ArrowHead294]] in 2024.
-== See also ==
+[[Category:Thuja]]
-* [[Gallery of just intervals]]
+[[Category:Commas named after mythology or literature]]
-{{todo|expand}}