Harmonics 37–74: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
+subsets and supersets
Sintel (talk | contribs)
m Sintel moved page 37afdo to Harmonics 37–74
(No difference)

Revision as of 19:08, 10 October 2026

← 36afdo 37afdo 38afdo →
Prime factorization 37 (prime)
Dual sharp fifth 56/37 (717.481c)
Dual flat fifth 55/37 (686.287c)

37afdo (arithmetic frequency division of the octave), or 37odo (otonal division of the octave), divides the octave into 37 parts of 1/37 each. It is a superset of 36afdo and a subset of 38afdo. As a scale it may be known as mode 37 of the harmonic series or the Over-37 scale.

It is the first odd afdo in which both fifths (all odd afdos being either dual-fifth or fifthless) are diatonic, and has the incredibly accurate 44/37 quarter-octave.