2200/2197

Interval information

Ratio	2200/2197
Factorization	23 × 52 × 11 × 13-3
Monzo	[3 0 2 0 1 -3⟩
Size in cents	2.362385 ¢
Name	petrma
Color name	3u31oyy-2, trithu-aloyoyo negative 2nd
FJS name	[math]\displaystyle{ \text{dd}{-2}^{5,5,11}_{13,13,13} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	22.2046
Weil norm (log2 max(n, d))	22.2066
Wilson norm (sopfr(nd))	66
Comma size	unnoticeable
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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.