Hypovishnuzma: Difference between revisions

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'''254803968/244140625''', the '''hypovishnuzma''', is a [[5-limit]] comma, which represents the difference between a stack of six classic chromatic semitones ([[25/24]]) and a perfect fourth ([[4/3]]). This comma is larger than 25/24 itself. If one more 25/24 is subtracted from the hypovishnuzma, we get the [[vishnuzma]].
'''254803968/244140625''', the '''hypovishnuzma''', is a [[5-limit]] comma, which represents the difference between a stack of six classic chromatic semitones ([[25/24]]) and a perfect fourth ([[4/3]]). This comma is larger than 25/24 itself. If one more 25/24 is subtracted from the hypovishnuzma, we get the [[vishnuzma]].


Notable [[edo]]s that temper the hypovishnuzma include {{EDOs|15, 28, 43, 58, 73, 101}}. These are the only edos that temper out this comma whose [[patent val]]s are [[enfactoring|unenfactored]].
Notable [[edo]]s that temper the hypovishnuzma include {{EDOs|15, 28, 43, 58, 73, 101}}. These are the only edos that temper out this comma whose [[patent val]]s are [[enfactoring|unenfactored]]. Although 129edo inherits its patent val from 43edo (thus enfactored), 129p is the last val to temper out hypovishnuzma, and curiously, also the last val to temper out [[81/80]], the syntonic comma.


== See also ==
== See also ==

Revision as of 15:20, 29 March 2024

Interval information
Ratio 254803968/244140625
Factorization 220 × 35 × 5-12
Monzo [20 5 -12
Size in cents 74.01044¢
Name hypovishnuzma
Color name saquadtrigu 4th, sg124
FJS name [math]\displaystyle{ \text{6d4}_{5,5,5,5,5,5,5,5,5,5,5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 55.7879
Weil norm (log2 max(n, d)) 55.8496
Wilson norm (sopfr(nd)) 115
Comma size medium
Open this interval in xen-calc

254803968/244140625, the hypovishnuzma, is a 5-limit comma, which represents the difference between a stack of six classic chromatic semitones (25/24) and a perfect fourth (4/3). This comma is larger than 25/24 itself. If one more 25/24 is subtracted from the hypovishnuzma, we get the vishnuzma.

Notable edos that temper the hypovishnuzma include 15, 28, 43, 58, 73, 101. These are the only edos that temper out this comma whose patent vals are unenfactored. Although 129edo inherits its patent val from 43edo (thus enfactored), 129p is the last val to temper out hypovishnuzma, and curiously, also the last val to temper out 81/80, the syntonic comma.

See also