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
10.15389¢
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
| Interval information |
reduced
(Shannon, [math]\sqrt{nd}[/math])
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.