54:64:81

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Revision as of 03:24, 28 August 2024 by CompactStar (talk | contribs) (I don't believe there was a consensus on removing chord names.)
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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*, …

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

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.