492128/492075: Difference between revisions
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Gave it a name so you don't have to contend with lame systematic names, and expanded S-expression significance |
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{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 492128/492075 | | Ratio = 492128/492075 | ||
| Name = | | Name =cataton | ||
| Color name = | | Color name = s3o<sup>3</sup>zgg3, satritho-azoguguma | ||
| Comma = yes | | Comma = yes | ||
}} | }} | ||
'''492128/492075''', the | '''492128/492075''', the cataton, is an [[unnoticeable comma|unnoticeable]] [[13-limit]] (specifically [[2.3.5.7.13 subgroup|2.3.5.7.13-subgroup]]) [[comma]] measuring 0.186{{cent}}. As an [[ultraparticular]], tempering it out splits the [[28/25]] meantone into three [[27/26]] third-tones, the [[96/91]] semitone into two [[416/405]] quartertones, and equates the [[superparticular ratio]]s [[729/728]] and [[676/675]]. It times the [[catasma]] is the [[ragisma]], visible in its S-expression as (S25/S26)(S26/27) = S25/27 = 4375/4374. | ||
== Temperaments == | == Temperaments == | ||
It is tempered out in [[bischismic]], [[buzzard]], [[catakleismic]], [[godzilla]], [[harry]], [[hemiseven]], [[iron]], [[mirkat]], [[ennealimmapine]], [[sruti]], [[unicorn]], and [[unthirds]] temperaments. | It is tempered out in [[bischismic]], [[buzzard]], [[catakleismic]], [[godzilla]], [[harry]], [[hemiseven]], [[iron]], [[mirkat]], [[ennealimmapine]], [[sruti]], [[unicorn]], and [[unthirds]] temperaments. | ||
Latest revision as of 05:53, 24 August 2026
| Interval information |
492128/492075, the cataton, is an unnoticeable 13-limit (specifically 2.3.5.7.13-subgroup) comma measuring 0.186 ¢. As an ultraparticular, tempering it out splits the 28/25 meantone into three 27/26 third-tones, the 96/91 semitone into two 416/405 quartertones, and equates the superparticular ratios 729/728 and 676/675. It times the catasma is the ragisma, visible in its S-expression as (S25/S26)(S26/27) = S25/27 = 4375/4374.
Temperaments
It is tempered out in bischismic, buzzard, catakleismic, godzilla, harry, hemiseven, iron, mirkat, ennealimmapine, sruti, unicorn, and unthirds temperaments.