54:64:81

Revision as of 03:23, 28 August 2024 by Bcmills (talk | contribs) (remove Pythagorean jargon)

54:64:81, is a minor triad found on the ii, iii, and vi of the 3-limit diatonic scale.

Chord information
Harmonics 54:64:81
Subharmonics 1/(96:81:64)
Intervals from root 1/132/273/2
Cents from root 294¢702¢
Step intervals 32/27, 81/64
Step cents 294¢, 408¢
Prime limit 3
Genus 34 (81)
Intervallic odd limit 81
Otonal odd limit 81
Utonal odd limit 81
Consistent edos (d ≥ 2) 12edo**, 17edo*, 24edo*, 29edo*, …

It may be considered a 3-limit approximation of 10:12:15 and 27:32:40, or a chord in its own right with a less-stable third. Unlike 10:12:15, 54:64:81 is ambitonal.