77/76
Jump to navigation
Jump to search
| 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 (log2 nd) | 12.5147 |
| Weil height (log2 max(n, d)) | 12.5336 |
| Wilson height (sopfr (nd)) | 41 |
| Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~3.91489 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.