Vishnuzma: 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 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)^7.  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 2002 as the ''semisuper comma''<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]]

Revision as of 13:45, 10 May 2023

Interval information
Ratio 6115295232/6103515625
Factorization 223 × 36 × 5-14
Monzo [23 6 -14
Size in cents 3.338011¢
Names vishnuzma,
semisuper comma
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 2002 as the semisuper comma[1]. It is yet to be found out how and why the later name vishnuzma was added.

Notes