54:64:81

Chord information

Harmonics	54:64:81
Subharmonics	1/(96:81:64)
Intervals from root	1/1–32/27–3/2
Cents from root	0¢–294¢–702¢
Step intervals	32/27, 81/64
Step cents	294¢, 408¢
Color name	wa or w
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*, …
* 2 ≤ d < 4; ** 4 ≤ d < 8; *** 8 ≤ d < 16; …

54:64:81, is a minor triad found on the ii, iii, and vi of the 3-limit diatonic scale. It is easily referred to as the Pythagorean minor triad, and, unlike 10:12:15, 54:64:81 is ambitonal.

In meantone this chord is tempered together with both 10:12:15 and 27:32:40, so it may be considered a 3-limit approximation of those chords, or a chord in its own right with a less-stable third. Accordingly, Aura takes advantage of these properties in his non-meantone 5-limit music where it shows up as the triad built on the ii degree in Ionian mode in place of 27:32:40, thus allowing it to be more reliably used in the major scale's circle progression, while also cutting back on tonal ambiguity.