28:36:45

Chord information

Harmonics	28:36:45
Subharmonics	1/(45:35:28)
Intervals from root	1/1–9/7–45/28
Cents from root	0¢–435¢–821¢
Step intervals	9/7, 5/4
Step cents	435¢, 386¢
Color name	ru ruyo-5 or r(ry5)
Prime limit	7
Genus	32⋅5⋅7 (315)
Intervallic odd limit	45
Otonal odd limit	45
Utonal odd limit	45
Consistent edos (d ≥ 2)	3edo**, 6edo*, 16edo*, 19edo**, …
* 2 ≤ d < 4; ** 4 ≤ d < 8; *** 8 ≤ d < 16; …

28:36:45 is a 7-limit interpretation of the augmented triad that uses a septimal supermajor third and a septimal augmented fifth.

Edo approximations for 28:36:45 ▶
intervals: 9/7, 45/28 · ≤ 60edo, RMS rel. error ≤ 15%

	Edo	Steps	Cents (¢)	Absolute errors (¢)	RMS (¢)	RMS (%)
▶	6	0  2  4	0.00 400.00 800.00	0.00 -35.08 -21.40	14.44	7.22
▶	9	0  3  6	0.00 400.00 800.00	0.00 -35.08 -21.40	14.44	10.83
▶	12	0  4  8	0.00 400.00 800.00	0.00 -35.08 -21.40	14.44	14.44
▶	13	0  5  9	0.00 461.54 830.77	0.00 +26.45  +9.37	10.95	11.86
▶	16	0  6 11	0.00 450.00 825.00	0.00 +14.92  +3.60	6.35	8.47
▶	19	0  7 13	0.00 442.11 821.05	0.00  +7.02  -0.35	3.39	5.37
▶	22	0  8 15	0.00 436.36 818.18	0.00  +1.28  -3.22	1.89	3.47
▶	25	0  9 17	0.00 432.00 816.00	0.00  -3.08  -5.40	2.21	4.61
▶	28	0 10 19	0.00 428.57 814.29	0.00  -6.51  -7.11	3.22	7.51
▶	31	0 11 21	0.00 425.81 812.90	0.00  -9.28  -8.49	4.20	10.85
▶	34	0 12 23	0.00 423.53 811.76	0.00 -11.55  -9.63	5.06	14.32
▶	35	0 13 24	0.00 445.71 822.86	0.00 +10.63  +1.46	4.71	13.72
▶	38	0 14 26	0.00 442.11 821.05	0.00  +7.02  -0.35	3.39	10.75
▶	41	0 15 28	0.00 439.02 819.51	0.00  +3.94  -1.89	2.43	8.29
▶	44	0 16 30	0.00 436.36 818.18	0.00  +1.28  -3.22	1.89	6.93
▶	47	0 17 32	0.00 434.04 817.02	0.00  -1.04  -4.38	1.87	7.31
▶	50	0 18 34	0.00 432.00 816.00	0.00  -3.08  -5.40	2.21	9.21
▶	53	0 19 36	0.00 430.19 815.09	0.00  -4.90  -6.30	2.70	11.93
▶	58	0 21 40	0.00 434.48 827.59	0.00  -0.60  +6.19	3.07	14.83
▶	60	0 22 41	0.00 440.00 820.00	0.00  +4.92  -1.40	2.71	13.54