85/84
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Ratio | 85/84 |
Factorization | 2^{-2} × 3^{-1} × 5 × 7^{-1} × 17 |
Monzo | [-2 -1 1 -1 0 0 1⟩ |
Size in cents | 20.488216¢ |
Name | monk comma |
Color name | 17ory1, soruyo 1sn, Soruyo comma |
FJS name | [math]\text{P1}^{5,17}_{7}[/math] |
Special properties | superparticular, reduced |
Tenney height (log_{2} nd) | 12.8017 |
Weil height (log_{2} max(n, d)) | 12.8188 |
Wilson height (sopfr (nd)) | 36 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~3.82239 bits |
Comma size | small |
S-expression | S15 × S16 × S17 |
open this interval in xen-calc |
85/84, the monk comma, is a 17-limit superparticular interval. It is the difference between 6/5 and 17/14, as well as 7/5 and 17/12.
Etymology
The word monk for this comma was introduced by Xenllium in 2023. It was translated from Japanese word 僧侶 (そうりょ, sōryo), a play of its color name, soruyo (as resembling pronunciation).