77/76
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Ratio | 77/76 |
Factorization | 2^{-2} × 7 × 11 × 19^{-1} |
Monzo | [-2 0 0 1 1 0 0 -1⟩ |
Size in cents | 22.630833¢ |
Name | small undevicesimal 1/9-tone |
Color name | 19u1oz1, nulozo 1sn, Nulozo comma |
FJS name | [math]\text{P1}^{7,11}_{19}[/math] |
Special properties | superparticular, reduced |
Tenney height (log_{2} nd) | 12.5147 |
Weil height (log_{2} max(n, d)) | 12.5336 |
Wilson height (sopfr (nd)) | 41 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.05464 bits |
Comma size | small |
open this interval in xen-calc |
77/76 is a superparticular interval of about 22.6¢ which makes the difference between 8/7 and 22/19 in 19-limit just intonation; it is also the difference between 11/8 and 19/14.
Temperaments
It is close to one step of 53edo, and the comma associating it with 1\53 is tempered out in notable high-prime-limit systems like 159edo and 742edo.