4:6:7:9

Chord information
Harmonics	4:6:7:9
Subharmonics	1/(63:42:36:28)
Intervals from root	1/1–3/2–7/4–9/4
Cents from root	0¢–702¢–969¢–1404¢
Step intervals	3/2, 7/6, 9/7
Step cents	702¢, 267¢, 435¢
Color names	zo-9 no-3 or z9no3; har-9 no-3 or h9no3; sus-2 zo-7 or 2,z7
Prime limit	7
Genus	32⋅7 (63)
Intervallic odd limit	9
Otonal odd limit	9
Utonal odd limit	63
Consistent edos (d ≥ 2)	5edo, 36edo, 41edo, 53edo*, …
	* 2 ≤ d < 4; 4 ≤ d < 8; * 8 ≤ d < 16; …

4:6:7:9 can be thought of as either a thirdless dom ninth chord or a sus-2 dom seventh chord, especially if voiced 8:9:12:14.

Edo approximations for 4:6:7:9 ▶
*intervals: 3/2, 7/4, 9/4 · ≤ 60edo, RMS rel. error ≤ 15%*
	Edo	Steps	Cents (¢)	Absolute errors (¢)	RMS (¢)	RMS (%)
▶	10	`0 6 8 12`	`0.00 720.00 960.00 1440.00`	`0.00 +18.04 -8.83 +36.09`	17.27	14.39
▶	12	`0 7 10 14`	`0.00 700.00 1000.00 1400.00`	`0.00 -1.96 +31.17 -3.91`	14.41	14.41
▶	14	`0 8 11 16`	`0.00 685.71 942.86 1371.43`	`0.00 -16.24 -25.97 -32.48`	12.23	14.27
▶	17	`0 10 14 20`	`0.00 705.88 988.24 1411.76`	`0.00 +3.93 +19.41 +7.85`	7.26	10.28
▶	19	`0 11 15 22`	`0.00 694.74 947.37 1389.47`	`0.00 -7.22 -21.46 -14.44`	8.00	12.67
▶	22	`0 13 18 26`	`0.00 709.09 981.82 1418.18`	`0.00 +7.14 +12.99 +14.27`	5.65	10.35
▶	24	`0 14 19 28`	`0.00 700.00 950.00 1400.00`	`0.00 -1.96 -18.83 -3.91`	7.43	14.87
▶	27	`0 16 22 32`	`0.00 711.11 977.78 1422.22`	`0.00 +9.16 +8.95 +18.31`	6.47	14.57
▶	31	`0 18 25 36`	`0.00 696.77 967.74 1393.55`	`0.00 -5.18 -1.08 -10.36`	4.07	10.51
▶	36	`0 21 29 42`	`0.00 700.00 966.67 1400.00`	`0.00 -1.96 -2.16 -3.91`	1.39	4.16
▶	41	`0 24 33 48`	`0.00 702.44 965.85 1404.88`	`0.00 +0.48 -2.97 +0.97`	1.54	5.25
▶	46	`0 27 37 54`	`0.00 704.35 965.22 1408.70`	`0.00 +2.39 -3.61 +4.79`	3.10	11.89
▶	53	`0 31 43 62`	`0.00 701.89 973.58 1403.77`	`0.00 -0.07 +4.76 -0.14`	2.09	9.23
▶	58	`0 34 47 68`	`0.00 703.45 972.41 1406.90`	`0.00 +1.49 +3.59 +2.99`	1.39	6.73

See also