7:9:11

Chord information
Harmonics	7:9:11
Subharmonics	1/(99:77:63)
Intervals from root	1/1–9/7–11/7
Cents from root	0¢–435¢–782¢
Step intervals	9/7, 11/9
Step cents	435¢, 347¢
Color names	ru loru 5; r(1or5)
Prime limit	11
Genus	32⋅7⋅11 (693)
Intervallic odd limit	11
Otonal odd limit	11
Utonal odd limit	99
Consistent edos (d ≥ 2)	3edo, 11edo, 14edo, 17edo, …
	* 2 ≤ d < 4; 4 ≤ d < 8; * 8 ≤ d < 16; …

7:9:11 is a chord. It sort of sounds like an augmented fifth chord, including two types of third, a 9/7 supermajor third, and a 11/9 neutral third.

It is one of the simplest chords that truly sounds xenharmonic. 6:7:9:11 and variants are another such simple xen chords.

Edo approximations for 7:9:11 ▶
*intervals: 9/7, 11/7 · ≤ 60edo, RMS rel. error ≤ 15%*
	Edo	Steps	Cents (¢)	Absolute errors (¢)	RMS (¢)	RMS (%)
▶	6	`0 2 4`	`0.00 400.00 800.00`	`0.00 -35.08 +17.51`	21.87	10.93
▶	8	`0 3 5`	`0.00 450.00 750.00`	`0.00 +14.92 -32.49`	19.79	13.20
▶	11	`0 4 7`	`0.00 436.36 763.64`	`0.00 +1.28 -18.86`	9.21	8.44
▶	14	`0 5 9`	`0.00 428.57 771.43`	`0.00 -6.51 -11.06`	4.54	5.30
▶	17	`0 6 11`	`0.00 423.53 776.47`	`0.00 -11.55 -6.02`	4.72	6.68
▶	20	`0 7 13`	`0.00 420.00 780.00`	`0.00 -15.08 -2.49`	6.60	11.00
▶	25	`0 9 16`	`0.00 432.00 768.00`	`0.00 -3.08 -14.49`	6.23	12.99
▶	28	`0 10 18`	`0.00 428.57 771.43`	`0.00 -6.51 -11.06`	4.54	10.59
▶	31	`0 11 20`	`0.00 425.81 774.19`	`0.00 -9.28 -8.30`	4.16	10.75
▶	34	`0 12 22`	`0.00 423.53 776.47`	`0.00 -11.55 -6.02`	4.72	13.37
▶	35	`0 13 23`	`0.00 445.71 788.57`	`0.00 +10.63 +6.08`	4.35	12.70
▶	38	`0 14 25`	`0.00 442.11 789.47`	`0.00 +7.02 +6.98`	3.30	10.45
▶	41	`0 15 27`	`0.00 439.02 790.24`	`0.00 +3.94 +7.75`	3.16	10.81
▶	44	`0 16 29`	`0.00 436.36 790.91`	`0.00 +1.28 +8.42`	3.70	13.58
▶	49	`0 18 32`	`0.00 440.82 783.67`	`0.00 +5.73 +1.18`	2.47	10.09
▶	52	`0 19 34`	`0.00 438.46 784.62`	`0.00 +3.38 +2.12`	1.39	6.04
▶	55	`0 20 36`	`0.00 436.36 785.45`	`0.00 +1.28 +2.96`	1.21	5.56
▶	58	`0 21 38`	`0.00 434.48 786.21`	`0.00 -0.60 +3.71`	1.91	9.23

Audio of close voicings

7:9:11

9:11:14

11:14:18

Notable voicings

Voices	EFR	Hi-lo name	Special properties
3 voices	7:9:11	basic	AOV, isoharmonic, root position
	7:11:18	hi3
	9:11:14	hiR	1st inversion
	11:14:18	lo5	2nd inversion
4 voices	7:9:11:14	add8
4 voices	7:11:18:28	lo5Radd8

Related chords

Plausible homonyms: all, min6 no5 or aug5 chords.

Notable extensions:

Similar chords:

7:9:12 (substitutes 11/7 for 12/7)
14:18:21 (substitutes 11/7 for 3/2)

Lower limit soundalikes:

20:25:32:40 (5-limit)

Higher limit soundalikes:

8:10:13 (13-limit)
11:14:17 (17-limit)