171/170

From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
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.

See also