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]\text{dd}{-2}^{5,5,11}_{13,13,13}[/math]
Special properties	reduced
Tenney height (log2 nd)	22.2046
Weil height (log2 max(n, d))	22.2066
Wilson height (sopfr(nd))	66
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~1.25107 bits
Comma size	unnoticeable
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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.