Vishnuzma

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Interval information
Ratio 6115295232/6103515625
Factorization 223 × 36 × 5-14
Monzo [23 6 -14
Size in cents 3.3380111¢
Names vishnuzma,
semisuper comma
Color name sg144, sasepbigu 4th
FJS name [math]\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
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~2.44698 bits
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