20:30:36:45

Chord information
Harmonics	20:30:36:45
Subharmonics	1/(9:6:5:4)
Intervals from root	1/1–3/2–9/5–9/4
Cents from root	0¢–702¢–1018¢–1404¢
Step intervals	3/2, 6/5, 5/4
Step cents	702¢, 316¢, 386¢
Color names	gu-9 no-3 or g9no3; sub-9 no-3 or s9no3; sus-2 gu-7 or 2,g7
Prime limit	5
Genus	32⋅5 (45)
Intervallic odd limit	9
Otonal odd limit	45
Utonal odd limit	9
Consistent edos (d ≥ 2)	12edo, 19edo, 34edo, 41edo, …
	* 2 ≤ d < 4; 4 ≤ d < 8; * 8 ≤ d < 16; …

20:30:36:45 can be thought of as either a thirdless dominant ninth chord or a sus-2 dominant seventh chord, especially if voiced 40:45:60:72.

Edo approximations for 20:30:36:45 ▶
*intervals: 3/2, 9/5, 9/4 · ≤ 60edo, RMS rel. error ≤ 15%*
	Edo	Steps	Cents (¢)	Absolute errors (¢)	RMS (¢)	RMS (%)
▶	7	`0 4 6 8`	`0.00 685.71 1028.57 1371.43`	`0.00 -16.24 +10.98 -32.48`	16.45	9.60
▶	12	`0 7 10 14`	`0.00 700.00 1000.00 1400.00`	`0.00 -1.96 -17.60 -3.91`	6.91	6.91
▶	19	`0 11 16 22`	`0.00 694.74 1010.53 1389.47`	`0.00 -7.22 -7.07 -14.44`	5.10	8.08
▶	22	`0 13 19 26`	`0.00 709.09 1036.36 1418.18`	`0.00 +7.14 +18.77 +14.27`	7.13	13.07
▶	24	`0 14 20 28`	`0.00 700.00 1000.00 1400.00`	`0.00 -1.96 -17.60 -3.91`	6.91	13.83
▶	31	`0 18 26 36`	`0.00 696.77 1006.45 1393.55`	`0.00 -5.18 -11.14 -10.36`	4.48	11.58
▶	34	`0 20 29 40`	`0.00 705.88 1023.53 1411.76`	`0.00 +3.93 +5.93 +7.85`	2.91	8.24
▶	41	`0 24 35 48`	`0.00 702.44 1024.39 1404.88`	`0.00 +0.48 +6.79 +0.97`	2.75	9.41
▶	46	`0 27 39 54`	`0.00 704.35 1017.39 1408.70`	`0.00 +2.39 -0.20 +4.79`	2.03	7.79
▶	53	`0 31 45 62`	`0.00 701.89 1018.87 1403.77`	`0.00 -0.07 +1.27 -0.14`	0.58	2.57
▶	58	`0 34 49 68`	`0.00 703.45 1013.79 1406.90`	`0.00 +1.49 -3.80 +2.99`	2.52	12.20
▶	60	`0 35 51 70`	`0.00 700.00 1020.00 1400.00`	`0.00 -1.96 +2.40 -3.91`	2.34	11.70

See also