171/170

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	10.15389¢
Name	malcolmisma
Color name	19o17ug1, nosugu 1sn
FJS name	[math]\displaystyle{ \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]\displaystyle{ \sqrt{nd} }[/math])	~2.10434 bits
Comma size	small
S-expression	S18 × S19
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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

• Small comma
• List of superparticular intervals