Orgonisma: Difference between revisions
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Don't see what's notable about that; move it to a trivia section. - strange CSS formatting stuff |
Rework, adding the missing notable factorizations |
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The '''orgonisma''' ([[ratio]]: 65536/65219) is a [[small comma]] in the [[11-limit]] that is about 8.39 [[cent]]s in size. It forms the difference between a stack of three [[11/8]] semi-augmented fourths and a stack consisting of two [[8/7]] whole tones (i.e. [[64/49]]) plus an [[octave]]. | |||
It factors into simpler commas as ([[4000/3993]])⋅([[6144/6125]]) or ([[540/539]])⋅([[16384/16335]]). It is also the sum of the [[rastma]] and the [[olympia]]. | |||
== Temperaments == | |||
[[Tempering out]] this comma leads to one of the ragtag group of temperaments that are collectivelly known as "[[Orgonia]]". | |||
== Trivia == | == Trivia == | ||
Latest revision as of 21:33, 22 October 2026
| Interval information |
reduced subharmonic
The orgonisma (ratio: 65536/65219) is a small comma in the 11-limit that is about 8.39 cents in size. It forms the difference between a stack of three 11/8 semi-augmented fourths and a stack consisting of two 8/7 whole tones (i.e. 64/49) plus an octave.
It factors into simpler commas as (4000/3993)⋅(6144/6125) or (540/539)⋅(16384/16335). It is also the sum of the rastma and the olympia.
Temperaments
Tempering out this comma leads to one of the ragtag group of temperaments that are collectivelly known as "Orgonia".
Trivia
This comma differs from the gamelisma by a tiny margin, 67110351/67108864 (0.04 ¢)