Vishnuzma

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
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~1.30321 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 2001 in terms of the corresponding temperament, semisuper, for one possible generator of the temperament was a "semisuper fourth". Semisuper comma appeared shortly after. It is yet to be found out how and why the later name vishnuzma was added.