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 == | ||
Latest revision as of 08:51, 10 October 2026
| Interval information |
2200/2197, the petrma, is an unnoticeable 13-limit comma measuring about 2.36 cents. It separates two instances of 13/10 from 22/13.
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
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.[1]