2200/2197: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = | | Name = petrma | ||
| Color name = 3u<sup>3</sup>1oyy-2, trithu-aloyoyo negative 2nd | |||
| Comma = yes | | Comma = yes | ||
}} The | }} | ||
The '''petrma''', '''2200/2197''', is a [[13-limit]] [[comma]] measuring about 2.4{{cent}}. It 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]]). | |||
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]].<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/> | |||
[[Category:Petrmic]] | |||
[[Category:Commas named after composers]] | |||
[[Category:Commas named after music theorists]] | |||
Latest revision as of 04:50, 12 July 2026
| Interval information |
The petrma, 2200/2197, is a 13-limit comma measuring about 2.4 ¢. It 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).
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]