Vishnuzma: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Plumtree (talk | contribs)
m Infobox Interval added
Eliora (talk | contribs)
No edit summary
Line 4: Line 4:
| Comma = yes
| Comma = yes
}}
}}
'''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; in other words, the interval (4/3)/(25/24)^7. Tempering it out leads to temperaments of the [[vishnuzmic family]].
'''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; in other words, the interval (4/3)/(25/24)^7, and also by which fourteen [[5/4|classical major thirds]] miss the [[729/512|pythagorean augmented fourth]]. Tempering it out leads to temperaments of the [[vishnuzmic family]].


[[Category:Todo:expand]]
[[Category:Todo:expand]]

Revision as of 20:22, 24 January 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

6115295232/6103515625 = [23 6 -14, the vishnuzma or semisuper comma of 3.338 cents, is the amount by which seven chromatic semitones fall short of a just fourth; in other words, the interval (4/3)/(25/24)^7, and also by which fourteen classical major thirds miss the pythagorean augmented fourth. Tempering it out leads to temperaments of the vishnuzmic family.