4:5:7:9

Chord information
Harmonics	4:5:7:9
Subharmonics	1/(315:252:180:140)
Intervals from root	1/1–5/4–7/4–9/4
Cents from root	0¢–386¢–969¢–1404¢
Step intervals	5/4, 7/5, 9/7
Step cents	386¢, 583¢, 435¢
Color names	yo zo-7 add-9 no-5 or y,z7,9no5; har-9 no-5 or h9no5
Prime limit	7
Genus	32⋅5⋅7 (315)
Intervallic odd limit	9
Otonal odd limit	9
Utonal odd limit	315
Consistent edos (d ≥ 2)	6edo, 25edo, 41edo, 47edo, …
	* 2 ≤ d < 4; 4 ≤ d < 8; * 8 ≤ d < 16; …

4:5:7:9 is a fifthless dominant ninth chord.

Edo approximations for 4:5:7:9 ▶
*intervals: 5/4, 7/4, 9/4 · ≤ 60edo, RMS rel. error ≤ 15%*
	Edo	Steps	Cents (¢)	Absolute errors (¢)	RMS (¢)	RMS (%)
▶	6	`0 2 5 7`	`0.00 400.00 1000.00 1400.00`	`0.00 +13.69 +31.17 -3.91`	13.74	6.87
▶	12	`0 4 10 14`	`0.00 400.00 1000.00 1400.00`	`0.00 +13.69 +31.17 -3.91`	13.74	13.74
▶	19	`0 6 15 22`	`0.00 378.95 947.37 1389.47`	`0.00 -7.37 -21.46 -14.44`	7.99	12.65
▶	22	`0 7 18 26`	`0.00 381.82 981.82 1418.18`	`0.00 -4.50 +12.99 +14.27`	8.11	14.87
▶	25	`0 8 20 29`	`0.00 384.00 960.00 1392.00`	`0.00 -2.31 -8.83 -11.91`	4.80	10.01
▶	31	`0 10 25 36`	`0.00 387.10 967.74 1393.55`	`0.00 +0.78 -1.08 -10.36`	4.49	11.61
▶	35	`0 11 28 41`	`0.00 377.14 960.00 1405.71`	`0.00 -9.17 -8.83 +1.80`	4.99	14.56
▶	41	`0 13 33 48`	`0.00 380.49 965.85 1404.88`	`0.00 -5.83 -2.97 +0.97`	2.66	9.10
▶	46	`0 15 37 54`	`0.00 391.30 965.22 1408.70`	`0.00 +4.99 -3.61 +4.79`	3.58	13.73
▶	47	`0 15 38 55`	`0.00 382.98 970.21 1404.26`	`0.00 -3.33 +1.39 +0.35`	1.77	6.93
▶	52	`0 17 42 61`	`0.00 392.31 969.23 1407.69`	`0.00 +5.99 +0.40 +3.78`	2.47	10.72
▶	53	`0 17 43 62`	`0.00 384.91 973.58 1403.77`	`0.00 -1.41 +4.76 -0.14`	2.35	10.37
▶	58	`0 19 47 68`	`0.00 393.10 972.41 1406.90`	`0.00 +6.79 +3.59 +2.99`	2.41	11.65

See also