Hypovishnuzma - Revision history

FloraC at 09:56, 16 March 2026

2026-03-16T09:56:03Z

← Older revision		Revision as of 09:56, 16 March 2026
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	\| Comma = yes		\| Comma = yes
	}}		}}

	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]].		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]].

	== Temperaments ==		== Temperaments ==
	Tempering it out in the 5-limit ~~and 7-limit leads to the '''~~[[~~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.		[[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.

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

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

BudjarnLambeth at 05:14, 11 April 2025

2025-04-11T05:14:04Z

← Older revision		Revision as of 05:14, 11 April 2025
Line 12:		Line 12:
	Tempering it out in the 5-limit and 7-limit leads to the '''[[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.		Tempering it out in the 5-limit and 7-limit leads to the '''[[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.

	[[Category:Commas named ~~for other reasons~~]]		[[Category:Commas named after mythology or literature]]

BudjarnLambeth at 08:06, 3 November 2024

2024-11-03T08:06:37Z

← Older revision		Revision as of 08:06, 3 November 2024
Line 11:		Line 11:
	== Temperaments ==		== Temperaments ==
	Tempering it out in the 5-limit and 7-limit leads to the '''[[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.		Tempering it out in the 5-limit and 7-limit leads to the '''[[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.

			[[Category:Commas named for other reasons]]

ArrowHead294 at 18:17, 1 June 2024

2024-06-01T18:17:28Z

← Older revision		Revision as of 18:17, 1 June 2024
Line 10:		Line 10:

	== Temperaments ==		== Temperaments ==
	Tempering it out leads to the '''[[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.		Tempering it out in the 5-limit and 7-limit leads to the '''[[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.

ArrowHead294: Separate into section. Also merged temperament name into existing section since temperament name is already documented.

2024-06-01T18:13:43Z

Separate into section. Also merged temperament name into existing section since temperament name is already documented.

← Older revision		Revision as of 18:13, 1 June 2024
Line 9:		Line 9:
	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]].		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]].

	Tempering it out leads to ~~a temperament known as~~ '''[[Thuja]]'''. {{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.		== Temperaments ==
			Tempering it out leads to the '''[[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.
	~~== See also ==~~
	* [[High badness temperaments#Hypovishnu]].

ArrowHead294 at 18:10, 1 June 2024

2024-06-01T18:10:41Z

← Older revision		Revision as of 18:10, 1 June 2024
Line 9:		Line 9:
	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]].		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]].

	Tempering it out leads to a temperament known as '''~~Hypovishnu~~'''. {{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.		Tempering it out leads to a temperament known as '''[[Thuja]]'''. {{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.

	== See also ==		== See also ==
	* [[High badness temperaments#Hypovishnu]].		* [[High badness temperaments#Hypovishnu]].

ArrowHead294 at 17:47, 1 June 2024

2024-06-01T17:47:40Z

← Older revision		Revision as of 17:47, 1 June 2024
Line 12:		Line 12:

	== See also ==		== See also ==
	* [[High-badness temperaments#Hypovishnu]].		* [[High badness temperaments#Hypovishnu]].

ArrowHead294 at 17:47, 1 June 2024

2024-06-01T17:47:15Z

← Older revision		Revision as of 17:47, 1 June 2024
Line 9:		Line 9:
	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]].		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]].

	~~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.		Tempering it out leads to a temperament known as '''Hypovishnu'''. {{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.

			== See also ==
			* [[High-badness temperaments#Hypovishnu]].

FloraC: That change was a bit dumb as it removes the implied relation between various ways the comma is derived.

2024-06-01T12:41:09Z

That change was a bit dumb as it removes the implied relation between various ways the comma is derived.

← Older revision		Revision as of 12:41, 1 June 2024
Line 7:		Line 7:
	}}		}}

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

ArrowHead294 at 16:57, 29 May 2024

2024-05-29T16:57:46Z

← Older revision		Revision as of 16:57, 29 May 2024
Line 7:		Line 7:
	}}		}}

	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.		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.