Vishnu family - Revision history

FloraC: + trivish (84 & 270). Unify the ET joins for quarvish and decavish

2026-06-20T14:58:21Z

+ trivish (84 & 270). Unify the ET joins for quarvish and decavish

@@ Line 25: / Line 25: @@
 The second comma in the comma list defines which 7-limit family member we are looking at. Septimal vishnu (118 & 152) adds [[4375/4374]]. Narayana (84 & 118) adds [[65625/65536]]. Vishnean (16 & 50) adds [[126/125]]. There is also an unnamed 50 & 84 temperament, which tempers out [[225/224]]. These all use the same generators as classical vishnu.
-Quarvish (68 & 270) adds [[2401/2400]], splitting the generator in four. Decavish adds [[420175/419904]], with a 1/10-octave period.
+Trivish (84 & 186) adds [[250047/250000]], splitting the semi-octave period in three. Quarvish (68 & 270) adds [[2401/2400]], splitting the generator in four. Decavish (50 & 220) adds [[420175/419904]], splitting the semi-octave period in five.
 == Septimal vishnu ==
@@ Line 173: / Line 173: @@
 Badness (Sintel): 1.68
 == Quarvish ==
-Quarvish tempers out 2401/2400, the [[breedsma]], and may be described as the {{nowrap| 68 & 202 }} temperament.
+Quarvish tempers out 2401/2400, the [[breedsma]], and may be described as the {{nowrap| 68 & 270 }} temperament.
 [[Subgroup]]: 2.3.5.7
@@ Line 210: / Line 275: @@
 == Decavish ==
-Decavish tempers out the [[wizma]] as well as the [[linus comma]], and may be described as the {{nowrap| 50 & 270 }} temperament. It was named by [[Xenllium]] in 2021 for the fact that its period is 1/10 octave.
+Decavish tempers out the [[wizma]] as well as the [[linus comma]], and may be described as the {{nowrap| 50 & 220 }} temperament. It was named by [[Xenllium]] in 2021 for the fact that its period is 1/10 octave.
 [[Subgroup]]: 2.3.5.7

FloraC: + more intro to each entry

2026-06-19T11:14:10Z

+ more intro to each entry

← Older revision		Revision as of 11:14, 19 June 2026
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	{{Technical data page}}		{{Technical data page}}
	The '''vishnu family''' [[tempering out\|tempers out]] the [[vishnu comma]] ({{monzo\|legend=1\| 23 6 -14 }}, [[ratio]]: 6 115 295 232 / 6 103 515 625), a [[~~5-limit~~]] ~~comma~~ of about 3 [[cent]]s~~. It is the amount by which seven just chromatic semitones of [[25/24]] fall short of a just perfect fourth of [[4/3]], or~~ in ~~other words (4/3)/(25/24)<sup>7</sup>~~.		The '''vishnu family''' [[tempering out\|tempers out]] the [[vishnu comma]] ({{monzo\|legend=1\| 23 6 -14 }}, [[ratio]]: 6 115 295 232 / 6 103 515 625), an [[unnoticeable comma]] of about 3.34 [[cent]]s in size.

	== Vishnu ==		== Vishnu ==
			The generator for the vishnu temperament is a [[25/24\|classical chromatic semitone]], seven of which make a [[4/3\|perfect fourth]], and [[5/4]] is found as a half-octave period minus three generators. Its [[ploidacot]] is diploid epsilon-heptacot. It is a member of the [[diaschismic–gothmic equivalence continuum]] with {{nowrap\| ''n'' {{=}} 7/2 }}; thus it is most naturally used as a 34-form.

	[[Subgroup]]: 2.3.5		[[Subgroup]]: 2.3.5

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	== Septimal vishnu ==		== Septimal vishnu ==
			Septimal vishnu may be described as the {{nowrap\| 118 & 152 }} temperament, tempering out 4375/4374, the [[ragisma]], and 29360128/29296875, the [[quasiorwellisma]], aside from the vishnu comma. [[270edo]] is an excellent tuning for this temperament, with generator 16\270 (71.{{overline\|1}} cents), but it can be tuned to [[422edo]], [[692edo]], or [[962edo]]. It extends naturally to the [[11-limit]] by identifying a stack of four [[5/4]]'s as [[11/9]], tempering out [[5632/5625]].

	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7

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	== Narayana ==		== Narayana ==
			Named by [[Xenllium]] in 2021, narayana tempers out 65625/65536, the [[horwell comma]], as well as 321489/320000, the [[varunisma]], and may be described as the {{nowrap\| 84 & 118 }} temperament.

	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7

Line 120:		Line 126:

	== Vishnean ==		== Vishnean ==
			Named by [[Petr Pařízek]] in 2011<ref name="petr's long post">[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_101780.html Yahoo! Tuning Group \| ''Suggested names for the unclasified temperaments'']</ref>, vishnean is a low-complexity low-accuracy extension of vishnu that tempers out 126/125, the [[starling comma]].

	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7

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	== Quarvish ==		== Quarvish ==
			Quarvish tempers out 2401/2400, the [[breedsma]], and may be described as the {{nowrap\| 68 & 202 }} temperament.

	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7

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	== Decavish ==		== Decavish ==
	Decavish tempers out the [[wizma]] as well as the [[linus comma]], and may be described as the {{nowrap\| 50 & 270 }} temperament.		Decavish tempers out the [[wizma]] as well as the [[linus comma]], and may be described as the {{nowrap\| 50 & 270 }} temperament. It was named by [[Xenllium]] in 2021 for the fact that its period is 1/10 octave.

	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7
Line 248:		Line 258:

	Badness (Sintel): 0.905		Badness (Sintel): 0.905

			== References ==
			<references/>

	[[Category:Temperament families]]		[[Category:Temperament families]]
	[[Category:Vishnu family\| ]] <!-- main article -->		[[Category:Vishnu family\| ]] <!-- main article -->
	[[Category:Rank 2]]		[[Category:Rank 2]]

FloraC: + overview to extensions. Sorting

2026-06-19T10:24:11Z

+ overview to extensions. Sorting

@@ Line 19: / Line 19: @@
 [[Badness]] (Sintel): 0.731
 == Septimal vishnu ==
@@ Line 51: / Line 56: @@
 Badness (Sintel): 0.469
 ==== Ananta ====
@@ Line 67: / Line 87: @@
 Badness (Sintel): 0.978
-==== Acyuta ====
+== Narayana ==
-Subgroup: 2.3.5.7.11.13
+[[Subgroup]]: 2.3.5.7
-Comma list: 1716/1715, 2080/2079, 3025/3024, 5632/5625
+Comma list: 441/440, 8019/8000, 65625/65536
-Mapping: {{mapping| 2 4 5 10 10 17 | 0 -7 -3 -37 -26 -81 }}
+Mapping: {{mapping| 2 4 5 3 3 | 0 -7 -3 22 33 }}
 Optimal tunings:
-* WE: ~99/70 = 599.9475{{c}}, ~25/24 = 71.0947{{c}}
+* WE: ~99/70 = 600.0992{{c}}, ~25/24 = 71.2593{{c}}
-* CWE: ~99/70 = 600.0000{{c}}, ~25/24 = 71.1028{{c}}
+* CWE: ~99/70 = 600.0000{{c}}, ~25/24 = 71.2501{{c}}
-{{Optimal ET sequence|legend=0| 118f, 152f, 270, 692, 962, 1654cd, 2616bcdf }}
+{{Optimal ET sequence|legend=0| 34e, 84, 118, 202, 320 }}
-Badness (Sintel): 0.653
+Badness (Sintel): 1.52
 == Vishnean ==
@@ Line 128: / Line 165: @@
 Badness (Sintel): 1.68
 == Quarvish ==

FloraC: Switch to Sintel's badness, WE & CWE tunings

2026-06-19T10:05:16Z

Switch to Sintel's badness, WE & CWE tunings

Show changes

FloraC: Units, misc. cleanup, - redundant category

2026-06-18T06:49:25Z

Units, misc. cleanup, - redundant category

Show changes

FloraC: FloraC moved page Vishnuzmic family to Vishnu family: The temp's name is vishnu

2026-06-18T06:36:48Z

FloraC moved page Vishnuzmic family to Vishnu family: The temp's name is *vishnu*

← Older revision	Revision as of 06:36, 18 June 2026
(No difference)

FloraC: Text replacement - "Category:Temperament families↵Category:Pages with mostly numerical content" to "Category:Temperament families"

2025-11-27T12:31:42Z

Text replacement - "Category:Temperament families↵Category:Pages with mostly numerical content" to "Category:Temperament families"

← Older revision		Revision as of 12:31, 27 November 2025
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	[[Category:Temperament families]]		[[Category:Temperament families]]
	~~[[Category:Pages with mostly numerical content]]~~
	[[Category:Vishnuzmic family\| ]] <!-- main article -->		[[Category:Vishnuzmic family\| ]] <!-- main article -->
	[[Category:Vishnuzmic\| ]] <!-- key article -->		[[Category:Vishnuzmic\| ]] <!-- key article -->
	[[Category:Rank 2]]		[[Category:Rank 2]]

Lériendil: Text replacement - "Category:Temperament families" to "Category:Temperament families Category:Pages with mostly numerical content"

2025-06-24T00:38:15Z

Text replacement - "Category:Temperament families" to "Category:Temperament families Category:Pages with mostly numerical content"

← Older revision		Revision as of 00:38, 24 June 2025
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	[[Category:Temperament families]]		[[Category:Temperament families]]
			[[Category:Pages with mostly numerical content]]
	[[Category:Vishnuzmic family\| ]] <!-- main article -->		[[Category:Vishnuzmic family\| ]] <!-- main article -->
	[[Category:Vishnuzmic\| ]] <!-- key article -->		[[Category:Vishnuzmic\| ]] <!-- key article -->
	[[Category:Rank 2]]		[[Category:Rank 2]]

VectorGraphics at 04:41, 12 June 2025

2025-06-12T04:41:45Z

← Older revision		Revision as of 04:41, 12 June 2025
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	{{Mapping\|legend=1\| 2 4 5 10 \| 0 -7 -3 -37 }}		{{Mapping\|legend=1\| 2 4 5 10 \| 0 -7 -3 -37 }}

	~~{{Multival\|legend=1\| 14 6 74 -23 78 155 }}~~

	[[Optimal tuning]]s:		[[Optimal tuning]]s:
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	{{Mapping\|legend=1\| 2 4 5 5 \| 0 -7 -3 5 }}		{{Mapping\|legend=1\| 2 4 5 5 \| 0 -7 -3 5 }}

	~~{{Multival\|legend=1\| 14 6 -10 -23 -55 -40 }}~~

	[[Optimal tuning]]s:		[[Optimal tuning]]s:
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	{{Mapping\|legend=1\| 2 4 5 3 \| 0 -7 -3 22 }}		{{Mapping\|legend=1\| 2 4 5 3 \| 0 -7 -3 22 }}

	~~{{Multival\|legend=1\| 14 6 -44 -23 -109 -119 }}~~

	[[Optimal tuning]]s:		[[Optimal tuning]]s:
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	{{Mapping\|legend=1\| 2 4 5 6 \| 0 -28 -12 -13 }}		{{Mapping\|legend=1\| 2 4 5 6 \| 0 -28 -12 -13 }}

	~~{{Multival\|legend=1\| 56 24 26 -92 -116 -7 }}~~

	[[Optimal tuning]]s:		[[Optimal tuning]]s:
Line 202:		Line 194:

	: mapping generators: ~15/14, ~54/49		: mapping generators: ~15/14, ~54/49

	~~{{Multival\|legend=1\| 70 30 100 -115 -38 148 }}~~

	[[Optimal tuning]]s:		[[Optimal tuning]]s:

FloraC: Text replacement - "{{Technical data page}}

" to "{{Technical data page}}"

2025-04-13T13:43:30Z

Text replacement - "{{Technical data page}}<br><br>" to "{{Technical data page}}"

← Older revision		Revision as of 13:43, 13 April 2025
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	{{Technical data page}}~~<br><br>~~		{{Technical data page}}
	The '''vishnuzmic family''' of [[temperament]]s [[Tempering out\|tempers out]] the [[vishnuzma]], {{monzo\| 23 6 -14 }} = 6115295232/6103515625, a [[5-limit]] comma of about 3 [[cent]]s. It is the amount by which seven just chromatic semitones of [[25/24]] fall short of a just perfect fourth of [[4/3]], or in other words (4/3)/(25/24)<sup>7</sup>.		The '''vishnuzmic family''' of [[temperament]]s [[Tempering out\|tempers out]] the [[vishnuzma]], {{monzo\| 23 6 -14 }} = 6115295232/6103515625, a [[5-limit]] comma of about 3 [[cent]]s. It is the amount by which seven just chromatic semitones of [[25/24]] fall short of a just perfect fourth of [[4/3]], or in other words (4/3)/(25/24)<sup>7</sup>.