Vishnu family: Difference between revisions

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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 ==

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

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== 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

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== 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

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== 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

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== Quarvish ==

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

[[Subgroup]]: 2.3.5.7

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== 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

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Badness (Sintel): 0.905

== References ==

[[Category:Temperament families]]

[[Category:Vishnu family| ]]

[[Category:Rank 2]]

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 {{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 ==
+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
@@ Line 26: / Line 28: @@
 == 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
@@ Line 88: / Line 92: @@
 == 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
@@ Line 120: / Line 126: @@
 == 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
@@ Line 167: / Line 175: @@
 == Quarvish ==
+Quarvish tempers out 2401/2400, the [[breedsma]], and may be described as the {{nowrap| 68 & 202 }} temperament.
 [[Subgroup]]: 2.3.5.7
@@ Line 200: / Line 210: @@
 == 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
@@ Line 248: / Line 258: @@
 Badness (Sintel): 0.905
+== References ==
+<references/>
 [[Category:Temperament families]]
 [[Category:Vishnu family| ]] <!-- main article -->
 [[Category:Rank 2]]