Vishnu comma: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 6115295232/6103515625 | | Ratio = 6115295232/6103515625 | ||
| Name = vishnuzma, semisuper comma | | Name = vishnu comma, vishnuzma, semisuper comma | ||
| Color name = sg<sup>14</sup>4, sasepbigu 4th | | Color name = sg<sup>14</sup>4, sasepbigu 4th | ||
| Comma = yes | | Comma = yes | ||
}} | }} | ||
The '''vishnuzma''' or '''semisuper comma''' ([[ratio]]: | 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]]. | ||
== Temperaments == | == Temperaments == | ||
Tempering out this comma leads to | [[Tempering out]] this comma leads to the 5-limit [[vishnu]] temperament. | ||
See [[Vishnu family]] for the [[family]] of rank-2 temperaments where it is tempered out. | |||
== Etymology == | == Etymology == | ||
This comma was named by [[Gene Ward Smith]] in | 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: | [[Category:Vishnu]] | ||
[[Category:Commas with unknown etymology]] | |||
Latest revision as of 06:36, 18 June 2026
| Interval information |
vishnuzma,
semisuper comma
The vishnu comma, vishnuzma or semisuper comma (ratio: 6 115 295 232 / 6 103 515 625, monzo: [23 6 -14⟩), is an unnoticeable 5-limit comma measuring about 3.34 cents. It is the amount by which a stack of seven classical chromatic semitones falls short of a just perfect fourth, in other words the interval (4/3)/(25/24)7. Equivalently, it is the amount by which a stack of fourteen classical major thirds misses the Pythagorean augmented fourth.
Temperaments
Tempering out this comma leads to the 5-limit vishnu temperament.
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"[1]. Semisuper comma appeared shortly after[2]. It is not clear yet how and why the later names vishnu (for the temperament) and vishnuzma (for the comma) were added.