Vishnuzma
Jump to navigation
Jump to search
Ratio | 6115295232/6103515625 |
Factorization | 2^{23} × 3^{6} × 5^{-14} |
Monzo | [23 6 -14⟩ |
Size in cents | 3.3380111¢ |
Names | vishnuzma, semisuper comma |
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 (log_{2} nd) | 65.0168 |
Weil height (log_{2} 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.