171/170
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| Ratio | 171/170 |
| Factorization | 2-1 × 32 × 5-1 × 17-1 × 19 |
| Monzo | [-1 2 -1 0 0 0 -1 1⟩ |
| Size in cents | 10.153894¢ |
| Name | malcolmisma |
| Color name | 19o17ug1, nosugu 1sn |
| FJS name | [math]\text{P1}^{19}_{5,17}[/math] |
| Special properties | superparticular, reduced |
| Tenney height (log2 nd) | 14.8272 |
| Weil height (log2 max(n, d)) | 14.8357 |
| Wilson height (sopfr(nd)) | 49 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~2.10434 bits |
| Comma size | small |
| S-expression | S18 × S19 |
| open this interval in xen-calc | |
171/170, the malcolmisma, is a 19-limit superparticular comma. It is the amount by which 19/17 exceeds 10/9.
Approximation
171/170 is the closest superparticular interval to one step of 118edo. This tempering is done consistently in the oganesson temperament, supported by systems like 354edo and 3776edo.
Etymology
The name malcolmisma was named after Alexander Malcolm by Xenllium in 2023.