140:180:252:315

Chord information
Harmonics	140:180:252:315
Subharmonics	1/(9:7:5:4)
Intervals from root	1/1–9/7–9/5–9/4
Cents from root	0¢–435¢–1018¢–1404¢
Step intervals	9/7, 7/5, 5/4
Step cents	435¢, 583¢, 386¢
Color names	ru gu-7 add-9 no-5 or r,g7,9no5; sub-9 no-5 or s9no5
Prime limit	7
Genus	32⋅5⋅7 (315)
Intervallic odd limit	9
Otonal odd limit	315
Utonal odd limit	9
Consistent edos (d ≥ 2)	6edo, 25edo, 41edo, 47edo, …
	* 2 ≤ d < 4; 4 ≤ d < 8; * 8 ≤ d < 16; …

140:180:252:315 is a fifthless septimal dominant ninth chord.

Edo approximations for 140:180:252:315 ▶
*intervals: 9/7, 9/5, 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 -35.08 -17.60 -3.91`	13.74	6.87
▶	12	`0 4 10 14`	`0.00 400.00 1000.00 1400.00`	`0.00 -35.08 -17.60 -3.91`	13.74	13.74
▶	19	`0 7 16 22`	`0.00 442.11 1010.53 1389.47`	`0.00 +7.02 -7.07 -14.44`	7.99	12.65
▶	22	`0 8 19 26`	`0.00 436.36 1036.36 1418.18`	`0.00 +1.28 +18.77 +14.27`	8.11	14.87
▶	25	`0 9 21 29`	`0.00 432.00 1008.00 1392.00`	`0.00 -3.08 -9.60 -11.91`	4.80	10.01
▶	31	`0 11 26 36`	`0.00 425.81 1006.45 1393.55`	`0.00 -9.28 -11.14 -10.36`	4.49	11.61
▶	35	`0 13 30 41`	`0.00 445.71 1028.57 1405.71`	`0.00 +10.63 +10.98 +1.80`	4.99	14.56
▶	41	`0 15 35 48`	`0.00 439.02 1024.39 1404.88`	`0.00 +3.94 +6.79 +0.97`	2.66	9.10
▶	46	`0 17 39 54`	`0.00 443.48 1017.39 1408.70`	`0.00 +8.39 -0.20 +4.79`	3.58	13.73
▶	47	`0 17 40 55`	`0.00 434.04 1021.28 1404.26`	`0.00 -1.04 +3.68 +0.35`	1.77	6.93
▶	52	`0 19 44 61`	`0.00 438.46 1015.38 1407.69`	`0.00 +3.38 -2.21 +3.78`	2.47	10.72
▶	53	`0 19 45 62`	`0.00 430.19 1018.87 1403.77`	`0.00 -4.90 +1.27 -0.14`	2.35	10.37
▶	58	`0 21 49 68`	`0.00 434.48 1013.79 1406.90`	`0.00 -0.60 -3.80 +2.99`	2.41	11.65

See also