Catasma: Difference between revisions

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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]].
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:Catasmic]]
[[Category:Commas named for the intervals they stack]]