Vishnu comma: Difference between revisions

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~~'''~~6115295232/6103515625~~'''~~ = ~~{{monzo~~| ~~23 6 -~~14 }}, ~~the~~ '''vishnuzma''' or '''semisuper comma''' of 3.~~338 cents,~~ is the amount by which seven [[25/24|chromatic semitones]] ~~fall~~ short of a just fourth; in other words, the interval (4/3)/(25/24)^7. ~~Tempering~~ it ~~out leads to temperaments~~ of the [[~~vishnuzmic family~~]].

{{Infobox Interval

| Ratio = 6115295232/6103515625

| Name = vishnu comma, vishnuzma, semisuper comma

| Color name = sg<sup>14</sup>4, sasepbigu 4th

| Comma = yes

}}

The '''vishnu comma''', '''vishnuzma''' or '''semisuper comma''' ([[ratio]]: 6 115 295 232 / 6 103 515 625, [[monzo]]: {{monzo| 23 6 -14 }}), is an [[unnoticeable comma|unnoticeable]] [[5-limit]] [[comma]] measuring about 3.34 [[cent]]s. It is the amount by which a stack of seven [[25/24|classical chromatic semitones]] falls short of a [[4/3|just perfect fourth]], in other words the interval (4/3)/(25/24)<sup>7</sup>. Equivalently, it is the amount by which a stack of fourteen [[5/4|classical major thirds]] misses the [[729/512|Pythagorean augmented fourth]].

[[~~Category:~~5-limit]]

== Temperaments ==

[[~~Category:Unnoticeable comma~~]]

[[Tempering out]] this comma leads to the 5-limit [[vishnu]] temperament.

[[Category:~~Todo~~:~~expand~~]]

See [[Vishnu family]] for the [[family]] of rank-2 temperaments where it is tempered out.

== Etymology ==

This comma was first named by [[Gene Ward Smith]] in 2001 in terms of the corresponding temperament, ''semisuper'', for one possible generator of the temperament was a "semisuper fourth"<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_2121.html Yahoo! Tuning Group | ''Shismic & co'']</ref>. ''Semisuper comma'' appeared shortly after<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5025.html Yahoo! Tuning Group | ''5-limit comma names'']</ref>. It is not clear yet how and why the later names ''vishnu'' (for the temperament) and ''vishnuzma'' (for the comma) were added.

== References ==

[[Category:Vishnu]]

[[Category:Commas with unknown etymology]]

@@ Line 1: / Line 1: @@
-'''6115295232/6103515625''' = {{monzo| 23 6 -14 }}, the '''vishnuzma''' or '''semisuper comma''' of 3.338 cents, is the amount by which seven [[25/24|chromatic semitones]] fall short of a just fourth; in other words, the interval (4/3)/(25/24)^7. Tempering it out leads to temperaments of the [[vishnuzmic family]].
+{{Infobox Interval
+| Ratio = 6115295232/6103515625
+| Name = vishnu comma, vishnuzma, semisuper comma
+| Color name = sg<sup>14</sup>4, sasepbigu 4th
+| Comma = yes
+}}
+The '''vishnu comma''', '''vishnuzma''' or '''semisuper comma''' ([[ratio]]: 6 115 295 232 / 6 103 515 625, [[monzo]]: {{monzo| 23 6 -14 }}), is an [[unnoticeable comma|unnoticeable]] [[5-limit]] [[comma]] measuring about 3.34 [[cent]]s. It is the amount by which a stack of seven [[25/24|classical chromatic semitones]] falls short of a [[4/3|just perfect fourth]], in other words the interval (4/3)/(25/24)<sup>7</sup>.  Equivalently, it is the amount by which a stack of fourteen [[5/4|classical major thirds]] misses the [[729/512|Pythagorean augmented fourth]].
-[[Category:5-limit]]
+== Temperaments ==
-[[Category:Unnoticeable comma]]
+[[Tempering out]] this comma leads to the 5-limit [[vishnu]] temperament.
-[[Category:Todo:expand]]
+See [[Vishnu family]] for the [[family]] of rank-2 temperaments where it is tempered out.
+== Etymology ==
+This comma was first named by [[Gene Ward Smith]] in 2001 in terms of the corresponding temperament, ''semisuper'', for one possible generator of the temperament was a "semisuper fourth"<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_2121.html Yahoo! Tuning Group | ''Shismic & co'']</ref>. ''Semisuper comma'' appeared shortly after<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5025.html Yahoo! Tuning Group | ''5-limit comma names'']</ref>. It is not clear yet how and why the later names ''vishnu'' (for the temperament) and ''vishnuzma'' (for the comma) were added.
+== References ==
+[[Category:Vishnu]]
+[[Category:Commas with unknown etymology]]