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. This comma is larger than 25/24 itself, but if one more 25/24 is removed from the hypovishnuzma, we get the regular [[vishnuzma]].

The '''hypovishnuzma''' ([[ratio]]: 254803968/244140625, {{monzo|legend=1| 20 5 -12 }}) is a [[medium comma|medium]] [[5-limit]] [[comma]], which is the difference between:

* six [[25/24|classic chromatic semitones (25/24)]] and a [[4/3|perfect fourth (4/3)]], (4/3)/(25/24)<sup>6</sup>

* two [[128/125|lesser dieses (128/125)]] and the [[15625/15552|kleisma (15625/15552)]], and

* five [[3/2]] perfect fifths and twelve [[5/4]] major thirds, octave-reduced.

This comma is larger than 25/24 itself, but if one more 25/24 is removed from the hypovishnuzma, we get the regular [[vishnuzma]].

Notable [[edo]]s that temper the hypovishnuzma include {{EDOs|15, 28, 43, 58, 73, and 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), 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.

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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. This comma is larger than 25/24 itself, but if one more 25/24 is removed from the hypovishnuzma, we get the regular [[vishnuzma]].
+The '''hypovishnuzma''' ([[ratio]]: 254803968/244140625, {{monzo|legend=1| 20 5 -12 }}) is a [[medium comma|medium]] [[5-limit]] [[comma]], which is the difference between:
+* six [[25/24|classic chromatic semitones (25/24)]] and a [[4/3|perfect fourth (4/3)]], (4/3)/(25/24)<sup>6</sup>
+* two [[128/125|lesser dieses (128/125)]] and the [[15625/15552|kleisma (15625/15552)]], and
+* five [[3/2]] perfect fifths and twelve [[5/4]] major thirds, octave-reduced.
+This comma is larger than 25/24 itself, but if one more 25/24 is removed from the hypovishnuzma, we get the regular [[vishnuzma]].
 Notable [[edo]]s that temper the hypovishnuzma include {{EDOs|15, 28, 43, 58, 73, and 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), 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.