Hypovishnuzma: Difference between revisions
ArrowHead294 (talk | contribs) Created page with "{{Infobox Interval | Ratio = 254803968/244140625 | Monzo = 20 5 -12 | Name = hypovishnuzma | Color name = saquadtrigu 4th, sg<sup>12</sup>4 | Comma = yes }} '''254803968/2441..." |
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The '''hypovishnuzma''' ([[ratio]]: 254803968/244140625, {{monzo|legend=1| 20 5 -12 }}) is a [[medium comma|medium]] [[5-limit]] [[comma]], which is the difference between a stack of six [[25/24|classic chromatic semitones (25/24)]] and a [[4/3|perfect fourth (4/3)]], that is, (4/3)/(25/24)<sup>6</sup>, or simply the octave-reduced difference between five [[3/2]] perfect fifths and twelve [[5/4]] major thirds. In terms of commas, it is the difference between a stack of two [[128/125|dieses (128/125)]] and a [[15625/15552|kleisma (15625/15552)]]. This comma is larger than 25/24 itself, but if one more 25/24 is removed from the hypovishnuzma, we get the regular [[vishnuzma]]. | |||
== Temperaments == | |||
[[Tempering out]] this comma leads to the 5-limit version of [[thuja]] temperament. {{EDOs| 15, 28, 43, 58, 73, and 101 }} are the only [[edo]]s that temper out this comma whose [[patent val]]s are [[enfactoring|unenfactored]]. Although [[129edo]] inherits its patent val from [[43edo]] (thus enfactored), 129 is the last integer patent val to temper out the hypovishnuzma, and curiously, also the last integer patent val to temper out [[81/80]], the syntonic comma. | |||
== | == Etymology == | ||
This comma was named by [[ArrowHead294]] in 2024. | |||
[[Category:Thuja]] | |||
[[Category:Commas named after mythology or literature]] | |||
Latest revision as of 09:56, 16 March 2026
| Interval information |
The hypovishnuzma (ratio: 254803968/244140625, monzo: [20 5 -12⟩) is a medium 5-limit comma, which is the difference between a stack of six classic chromatic semitones (25/24) and a perfect fourth (4/3), that is, (4/3)/(25/24)6, or simply the octave-reduced difference between five 3/2 perfect fifths and twelve 5/4 major thirds. In terms of commas, it is the difference between a stack of two dieses (128/125) and a kleisma (15625/15552). This comma is larger than 25/24 itself, but if one more 25/24 is removed from the hypovishnuzma, we get the regular vishnuzma.
Temperaments
Tempering out this comma leads to the 5-limit version of thuja temperament. 15, 28, 43, 58, 73, and 101 are the only edos that temper out this comma whose patent vals are unenfactored. Although 129edo inherits its patent val from 43edo (thus enfactored), 129 is the last integer patent val to temper out the hypovishnuzma, and curiously, also the last integer patent val to temper out 81/80, the syntonic comma.
Etymology
This comma was named by ArrowHead294 in 2024.