54:64:81:96

Chord information

Harmonics	54:64:81:96
Subharmonics	1/(96:81:64:54)
Intervals from root	1/1–32/27–3/2–16/9
Cents from root	0¢–294¢–702¢–996¢
Step intervals	32/27, 81/64, 32/27
Step cents	294¢, 408¢, 294¢
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; …

54:64:81:96, the Pythagorean minor seventh chord, is a 3-limit minor seventh chord found on the ii, iii, and vi of the Pythagorean diatonic scale.

It may be considered a 3-limit approximation of both 10:12:15:18 and 27:32:40:48.

• Relative to 10:12:15:18, it tempers both the third and seventh by 80/81.
• Relative to 27:32:40:48, it tempers the fifth by 81/80.