4:5:6:7:9:11

4:5:6:7:9:11, the harmonic eleventh chord, is a hexad in 11-limit harmony. It can be considered the fundamental otonal consonance of the 11-odd-limit, voiced in a roughly tertian manner. It is an extension of 4:5:6, 4:5:6:7, and 4:5:6:7:9.

Chord information

Harmonics	4:5:6:7:9:11
Intervals from root	1/1–5/4–3/2–7/4–9/4–11/4
Cents from root	0¢–386¢–702¢–969¢–1404¢–1751¢
Step intervals	5/4, 6/5, 7/6, 9/7, 11/9
Step cents	386¢, 316¢, 267¢, 435¢, 347¢
Prime limit	11
Genus	32⋅5⋅7⋅11 (3465)
Intervallic odd limit	11
Otonal odd limit	11
Utonal odd limit	3465
Consistent edos (d ≥ 1.5)	31edo, 46edo, 72edo*
* 2 ≤ d < 4; ** 4 ≤ d < 8; *** 8 ≤ d < 16; …

See also

• 1260:1540:1980:2310:2772:3465 or 1/(11:9:7:6:5:4) - its melodic inverse