136/135

Interval information

Ratio	136/135
Factorization	23 × 3-3 × 5-1 × 17
Monzo	[3 -3 -1 0 0 0 1⟩
Size in cents	12.77669¢
Name	diatonisma
Color name	17og2, Sogu 2nd, Sogu comma
FJS name	[math]\displaystyle{ \text{d2}^{17}_{5} }[/math]
Special properties	superparticular, reduced
Tenney height (log2 nd)	14.1643
Weil height (log2 max(n, d))	14.1749
Wilson height (sopfr(nd))	37
Comma size	small
S-expression	S16 × S17
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136/135, the diatonisma, is a 17-limit small comma. It is the difference between 9/8 (Pythagorean whole tone) and 17/15 (septendecimal whole tone), as well as between 16/15 and 18/17.

Etymology

The name diatonisma was named by Xenllium in 2023. It refers to the diatonic scale, especially Pythagorean tuning and superpyth.

See also

• Small comma
• List of superparticular intervals