4:5:6:7:11

Chord information
Harmonics	4:5:6:7:11
Intervals from root	1/1–5/4–3/2–7/4–11/4
Cents from root	0¢–386¢–702¢–969¢–1751¢
Step intervals	5/4, 6/5, 7/6, 11/7
Step cents	386¢, 316¢, 267¢, 782¢
Prime limit	11
Genus	3⋅5⋅7⋅11 (1155)
Intervallic odd limit	11
Otonal odd limit	11
Utonal odd limit	1155
Consistent edos (d ≥ 1.5)	31edo, 46edo, 72edo*
	* 2 ≤ d < 4; 4 ≤ d < 8; * 8 ≤ d < 16; …

4:5:6:7:11, the harmonic seventh added-eleventh chord, is a pentad in the 11-limit. It is a subset of 4:5:6:7:9:11, the harmonic eleventh chord.

This chord can be modified by inflecting the 5/4 down by 25/24, the 7/4 down by 49/48, and the 11/4 down by 33/32 to get a 7-limit utonal minor counterpart 1–6/5–3/2–12/7–8/3, which is the inverse of 1–5/4–3/2–7/4–9/4. The chord's own inverse is 1–6/5–3/2–12/7–24/11. These four chords form a quadruplet in the 11-odd-limit, all being subsets of 1–5/4–3/2–7/4–9/4–11/4 and 1–6/5–3/2–12/7–24/11–8/3.