8:9:12

Chord information

Harmonics	8:9:12
Subharmonics	1/(9:8:6)
Intervals from root	1/1–9/8–3/2
Cents from root	0¢–204¢–702¢
Step intervals	9/8, 4/3
Step cents	204¢, 498¢
Color name	sus2 or 2
Prime limit	3
Genus	32 (9)
Intervallic odd limit	9
Otonal odd limit	9
Utonal odd limit	9
Consistent edos (d ≥ 2)	5edo*, 7edo*, 12edo***, 17edo**, …
* 2 ≤ d < 4; ** 4 ≤ d < 8; *** 8 ≤ d < 16; …

8:9:12 is a 3-limit sus2 chord. See also 6:8:9, a sus4 chord.

Edo approximations for 8:9:12 ▶
intervals: 9/8, 3/2 · ≤ 60edo, RMS rel. error ≤ 15%

	Edo	Steps	Cents (¢)	Absolute errors (¢)	RMS (¢)	RMS (%)
▶	7	0  1  4	0.00 171.43 685.71	0.00 -32.48 -16.24	13.26	7.74
▶	10	0  2  6	0.00 240.00 720.00	0.00 +36.09 +18.04	14.73	12.28
▶	12	0  2  7	0.00 200.00 700.00	0.00  -3.91  -1.96	1.60	1.60
▶	17	0  3 10	0.00 211.76 705.88	0.00  +7.85  +3.93	3.21	4.54
▶	19	0  3 11	0.00 189.47 694.74	0.00 -14.44  -7.22	5.89	9.33
▶	22	0  4 13	0.00 218.18 709.09	0.00 +14.27  +7.14	5.83	10.68
▶	24	0  4 14	0.00 200.00 700.00	0.00  -3.91  -1.96	1.60	3.19
▶	29	0  5 17	0.00 206.90 703.45	0.00  +2.99  +1.49	1.22	2.95
▶	31	0  5 18	0.00 193.55 696.77	0.00 -10.36  -5.18	4.23	10.93
▶	34	0  6 20	0.00 211.76 705.88	0.00  +7.85  +3.93	3.21	9.09
▶	36	0  6 21	0.00 200.00 700.00	0.00  -3.91  -1.96	1.60	4.79
▶	41	0  7 24	0.00 204.88 702.44	0.00  +0.97  +0.48	0.40	1.35
▶	43	0  7 25	0.00 195.35 697.67	0.00  -8.56  -4.28	3.50	12.52
▶	46	0  8 27	0.00 208.70 704.35	0.00  +4.79  +2.39	1.95	7.49
▶	48	0  8 28	0.00 200.00 700.00	0.00  -3.91  -1.96	1.60	6.39
▶	51	0  9 30	0.00 211.76 705.88	0.00  +7.85  +3.93	3.21	13.63
▶	53	0  9 31	0.00 203.77 701.89	0.00  -0.14  -0.07	0.06	0.25
▶	55	0  9 32	0.00 196.36 698.18	0.00  -7.55  -3.77	3.08	14.12
▶	58	0 10 34	0.00 206.90 703.45	0.00  +2.99  +1.49	1.22	5.89
▶	60	0 10 35	0.00 200.00 700.00	0.00  -3.91  -1.96	1.60	7.98

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