136/135
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Ratio | 136/135 |
Factorization | 2^{3} × 3^{-3} × 5^{-1} × 17 |
Monzo | [3 -3 -1 0 0 0 1⟩ |
Size in cents | 12.776693¢ |
Name | diatonisma |
Color name | 17og2, Sogu 2nd, Sogu comma |
FJS name | [math]\text{d2}^{17}_{5}[/math] |
Special properties | superparticular, reduced |
Tenney height (log_{2} nd) | 14.1643 |
Weil height (log_{2} max(n, d)) | 14.1749 |
Wilson height (sopfr (nd)) | 37 |
Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~3.02782 bits |
Comma size | small |
S-expression | S16 × S17 |
open this interval in xen-calc |
136/135, the diatonisma, is a 17-limit small comma. It is the difference between 9/8 (Pythagorean whole tone) and 17/15 (septendecimal whole tone), as well as between 16/15 and 18/17.
Etymology
The name diatonisma was named by Xenllium in 2023. It refers to the diatonic scale, especially Pythagorean tuning and superpyth.