Vishnuzma: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Francium (talk | contribs)
m Added color name
ArrowHead294 (talk | contribs)
mNo edit summary
Line 5: Line 5:
| Comma = yes
| Comma = yes
}}
}}
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>.  
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]]. It can be written as <math>\left(\frac{4}{3}\right)/\left(\frac{25}{24}\right)^{7}</math>.


== Temperaments ==
== Temperaments ==

Revision as of 15:10, 24 April 2024

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. It can be written as [math]\displaystyle{ \left(\frac{4}{3}\right)/\left(\frac{25}{24}\right)^{7} }[/math].

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