28:36:42:63

Chord information

Harmonics	28:36:42:63
Subharmonics	1/(9:7:6:4)
Intervals from root	1/1–9/7–3/2–9/4
Cents from root	0¢–435¢–702¢–1404¢
Step intervals	9/7, 7/6, 3/2
Step cents	435¢, 267¢, 702¢
Color name	ru add-9 or r,9
Prime limit	7
Genus	32⋅7 (63)
Intervallic odd limit	9
Otonal odd limit	63
Utonal odd limit	9
Consistent edos (d ≥ 2)	5edo*, 36edo**, 41edo*, 53edo*, …
* 2 ≤ d < 4; ** 4 ≤ d < 8; *** 8 ≤ d < 16; …

28:36:42:63 is a septimal add-9 chord.

Edo approximations for 28:36:42:63 ▶
intervals: 9/7, 3/2, 9/4 · ≤ 60edo, RMS rel. error ≤ 15%

	Edo	Steps	Cents (¢)	Absolute errors (¢)	RMS (¢)	RMS (%)
▶	10	0  4  6 12	0.00 480.00 720.00 1440.00	0.00 +44.92 +18.04 +36.09	17.27	14.39
▶	12	0  4  7 14	0.00 400.00 700.00 1400.00	0.00 -35.08  -1.96  -3.91	14.41	14.41
▶	14	0  5  8 16	0.00 428.57 685.71 1371.43	0.00  -6.51 -16.24 -32.48	12.23	14.27
▶	17	0  6 10 20	0.00 423.53 705.88 1411.76	0.00 -11.55  +3.93  +7.85	7.26	10.28
▶	19	0  7 11 22	0.00 442.11 694.74 1389.47	0.00  +7.02  -7.22 -14.44	8.00	12.67
▶	22	0  8 13 26	0.00 436.36 709.09 1418.18	0.00  +1.28  +7.14 +14.27	5.65	10.35
▶	24	0  9 14 28	0.00 450.00 700.00 1400.00	0.00 +14.92  -1.96  -3.91	7.43	14.87
▶	27	0 10 16 32	0.00 444.44 711.11 1422.22	0.00  +9.36  +9.16 +18.31	6.47	14.57
▶	31	0 11 18 36	0.00 425.81 696.77 1393.55	0.00  -9.28  -5.18 -10.36	4.07	10.51
▶	36	0 13 21 42	0.00 433.33 700.00 1400.00	0.00  -1.75  -1.96  -3.91	1.39	4.16
▶	41	0 15 24 48	0.00 439.02 702.44 1404.88	0.00  +3.94  +0.48  +0.97	1.54	5.25
▶	46	0 17 27 54	0.00 443.48 704.35 1408.70	0.00  +8.39  +2.39  +4.79	3.10	11.89
▶	53	0 19 31 62	0.00 430.19 701.89 1403.77	0.00  -4.90  -0.07  -0.14	2.09	9.23
▶	58	0 21 34 68	0.00 434.48 703.45 1406.90	0.00  -0.60  +1.49  +2.99	1.39	6.73

See also

• 14:18:21:24

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