Catasma: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = catasma }} | | Ratio = 140625/140608 | ||
140625/140608, the '''catasma''', is a [[No-sevens subgroup temperaments|no-sevens]], [[No-elevens subgroup temperaments|no-elevens]], [[13-limit]] [[unnoticeable comma]] measuring about 0.209 [[Cent|cents]]. The name was proposed by [[User:Tristanbay|Tristan Bay]] in 2023, as it is the difference between [[625/624]] and [[676/675]], two important commas tempered out in [[Cata|cata temperament]]. | | Name = catasma | ||
| Color name = L3u<sup>3</sup>y<sup>6</sup>-3, Latrithuyoyo negative 3rd | |||
| Comma = yes | |||
}} | |||
140625/140608, the '''catasma''', is a [[No-sevens subgroup temperaments|no-sevens]], [[No-elevens subgroup temperaments|no-elevens]], [[13-limit]] [[unnoticeable comma]] measuring about 0.209 [[Cent|cents]]. It is the difference between the whole tone, [[9/8]], and three intervals of [[26/25]], or alternatively between [[3/1]] and three intervals of [[75/52]]; therefore tempering this comma out splits the perfect twelfth into three equal parts. | |||
== Etymology == | |||
The name was proposed by [[User:Tristanbay|Tristan Bay]] in 2023, as it is the difference between [[625/624]] and [[676/675]], two important commas tempered out in [[Cata|cata temperament]]. It is also tempered out in [[Very high accuracy temperaments#Catabolic|catabolic temperament]], which bears a similarity in that it is a 2.3.5.13 subgroup temperament with ~6/5 as a generator, but cata is [[kleismic]]; catabolic is an extension of [[egads]], and thus, much more complex. | |||
[[Category:Catasmic]] | |||
[[Category:Commas named for the intervals they stack]] | |||
Latest revision as of 13:22, 3 November 2025
| Interval information |
140625/140608, the catasma, is a no-sevens, no-elevens, 13-limit unnoticeable comma measuring about 0.209 cents. It is the difference between the whole tone, 9/8, and three intervals of 26/25, or alternatively between 3/1 and three intervals of 75/52; therefore tempering this comma out splits the perfect twelfth into three equal parts.
Etymology
The name was proposed by Tristan Bay in 2023, as it is the difference between 625/624 and 676/675, two important commas tempered out in cata temperament. It is also tempered out in catabolic temperament, which bears a similarity in that it is a 2.3.5.13 subgroup temperament with ~6/5 as a generator, but cata is kleismic; catabolic is an extension of egads, and thus, much more complex.