936/935

Interval information

Ratio	936/935
Factorization	23 × 32 × 5-1 × 11-1 × 13 × 17-1
Monzo	[3 2 -1 0 -1 1 -1⟩
Size in cents	1.850598¢
Name	ainos comma
FJS name	[math]\displaystyle{ \text{P1}^{13}_{5,11,17} }[/math]
Special properties	superparticular, reduced
Tenney height (log2 nd)	19.7392
Weil height (log2 max(n, d))	19.7407
Wilson height (sopfr(nd))	58
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936/935, the ainos comma is an unnoticeable 17-limit comma with a size of roughly 1.85 cents. It forms the interval between the interval between 18/17 and 55/52 as well as the interval between 13/11 and 85/72, the interval between the tannisma (273/272) and the keenanisma (385/384), and, the interval between the septendecimal kleisma (256/255) and the minthma (352/351). Thus, tempering out this comma is a good way to extend Neo-Gothic and Minthmic harmonies to the 17-limit, as well as a good way to bring Keenanismic and Tannismic harmonies together. Furthermore, it is also the interval that differentiates 17/13 from 72/55, 24/17 from 55/39, and 117/64 from 935/512.

This comma's name comes from an Ancient Greek word "aînos" meaning "tale", "story" or "fable", which is fitting due to serving as a viable 17-limit extension to minthmic temperaments, among others. Funny enough, this same Greek word is ultimately the source of the Latin word "aenigma" (meaning "riddle")- also fitting due to both the difficulty that was involved in the initial process of working out both the name and the uses of this comma, and as a way of alluding to the fact that there's still many things about microtonality yet to be uncovered.