136/135
Jump to navigation
Jump to search
| Ratio | 136/135 |
| Factorization | 23 × 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 (log2 nd) | 14.1643 |
| Weil height (log2 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.