Vishnuzma: Difference between revisions

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| Ratio = 6115295232/6103515625
| Ratio = 6115295232/6103515625
| Name = vishnuzma, semisuper comma
| Name = vishnuzma, semisuper comma
| Color name = sg<sup>14</sup>4, sasepbigu 4th
| Comma = yes
| Comma = yes
}}
}}
'''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, and also by which fourteen [[5/4|classical major thirds]] miss the [[729/512|pythagorean augmented fourth]]. Tempering it out leads to temperaments of the [[vishnuzmic family]].
The '''vishnuzma''' or '''semisuper comma''' ([[ratio]]: 6115295232/6103515625, [[monzo]]: {{monzo| 23 6 -14 }}) of 3.338 [[cent]]s, is the amount by which seven [[25/24|classical chromatic semitones]] fall short of a just perfect fourth and also by which fourteen [[5/4|classical major thirds]] miss the [[729/512|pythagorean augmented fourth]]; in other words the interval (4/3)/(25/24)<sup>7</sup>.  


[[Category:Todo:expand]]
== Temperaments ==
Tempering out this comma leads to temperaments of the [[vishnuzmic family]].
 
== Etymology ==
This comma was 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 yet to be found out how and why the later name ''vishnuzma'' was added.
 
== Notes ==
 
[[Category:Vishnuzmic]]
[[Category:Commas with unknown etymology]]

Latest revision as of 05:38, 17 April 2025

Interval information
Ratio 6115295232/6103515625
Factorization 223 × 36 × 5-14
Monzo [23 6 -14
Size in cents 3.338011¢
Names vishnuzma,
semisuper comma
Color name sg144, sasepbigu 4th
FJS name [math]\displaystyle{ \text{7d4}_{5,5,5,5,5,5,5,5,5,5,5,5,5,5} }[/math]
Special properties reduced
Tenney height (log2 nd) 65.0168
Weil height (log2 max(n, d)) 65.0196
Wilson height (sopfr(nd)) 134
Comma size unnoticeable
Open this interval in xen-calc

The vishnuzma or semisuper comma (ratio: 6115295232/6103515625, monzo: [23 6 -14) of 3.338 cents, is the amount by which seven classical chromatic semitones fall short of a just perfect fourth and also by which fourteen classical major thirds miss the pythagorean augmented fourth; in other words the interval (4/3)/(25/24)7.

Temperaments

Tempering out this comma leads to temperaments of the vishnuzmic family.

Etymology

This comma was 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 yet to be found out how and why the later name vishnuzma was added.

Notes