2200/2197: Difference between revisions
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'''2200/2197''', the '''petrma''', is an [[unnoticeable comma|unnoticeable]] [[13-limit]] [[comma]] measuring about 2.36 [[cent]]s. It separates two instances of [[13/10]] from [[22/13]]. | |||
Tempering out this comma in the 13-limit leads to the rank-5 '''petrmic | == Commatic relations == | ||
This comma often arises as the difference between other commas: ([[169/168]])/([[275/273]]), ([[352/351]])/([[676/675]]), ([[847/845]])/([[1001/1000]]), ([[625/624]])/([[4225/4224]]), and ([[729/728]])/([[123201/123200]]). It factors into ([[1575/1573]])⋅([[10648/10647]]). | |||
== Temperaments == | |||
[[Tempering out]] this comma in the 13-limit leads to the rank-5 '''petrmic''' temperament, and enables [[petrmic chords]]. It is tempered out by several edos, most notably [[50edo]]. | |||
== Etymology == | == Etymology == | ||
The petrma was named after [[Petr Pařízek]], who discovered the comma in 2009 within a rank-3 temperament generated by ~2, ~[[13/10]] and ~[[13/8]].<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_86834.html Yahoo! Tuning Groups | The 2200/2197 temperament (AKA 8:10:11:13:16 in 3D)]</ref> | The petrma was named after [[Petr Pařízek]], who discovered the comma in 2009 within a rank-3 temperament generated by ~2, ~[[13/10]] and ~[[13/8]].<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_86834.html Yahoo! Tuning Groups | ''The 2200/2197 temperament (AKA 8:10:11:13:16 in 3D)'']</ref> | ||
== References == | == References == | ||