2200/2197
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Ratio | 2200/2197 |
Factorization | 2^{3} × 5^{2} × 11 × 13^{-3} |
Monzo | [3 0 2 0 1 -3⟩ |
Size in cents | 2.3623848¢ |
Name | petrma |
Color name | 3u^{3}1oyy-2, trithu-aloyoyo negative 2nd |
FJS name | [math]\text{dd}{-2}^{5,5,11}_{13,13,13}[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 22.2046 |
Weil height (log_{2} max(n, d)) | 22.2066 |
Wilson height (sopfr (nd)) | 66 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~1.25107 bits |
Comma size | unnoticeable |
open this interval in xen-calc |
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.