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{n\cdot d}[/math])
~2.81472 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.

Etymology

The name malcolmisma was named after Alexander Malcolm by Xenllium in 2023.

See also