28:35:45

28:35:45 is a 7-limit interpretation of the augmented triad that uses a septimal augmented fifth.

Chord information

Harmonics	28:35:45
Subharmonics	1/(45:36:28)
Intervals from root	1/1–5/4–45/28
Cents from root	0¢–386¢–821¢
Step intervals	5/4, 9/7
Step cents	386¢, 435¢
Color name	yo ruyo-5 or y(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; …

Edo approximations for 28:35:45 ▶
intervals: 5/4, 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 +13.69 -21.40	14.44	7.22
▶	9	0  3  6	0.00 400.00 800.00	0.00 +13.69 -21.40	14.44	10.83
▶	12	0  4  8	0.00 400.00 800.00	0.00 +13.69 -21.40	14.44	14.44
▶	13	0  4  9	0.00 369.23 830.77	0.00 -17.08  +9.37	10.95	11.86
▶	16	0  5 11	0.00 375.00 825.00	0.00 -11.31  +3.60	6.35	8.47
▶	19	0  6 13	0.00 378.95 821.05	0.00  -7.37  -0.35	3.39	5.37
▶	22	0  7 15	0.00 381.82 818.18	0.00  -4.50  -3.22	1.89	3.47
▶	25	0  8 17	0.00 384.00 816.00	0.00  -2.31  -5.40	2.21	4.61
▶	28	0  9 19	0.00 385.71 814.29	0.00  -0.60  -7.11	3.22	7.51
▶	31	0 10 21	0.00 387.10 812.90	0.00  +0.78  -8.49	4.20	10.85
▶	34	0 11 23	0.00 388.24 811.76	0.00  +1.92  -9.63	5.06	14.32
▶	35	0 11 24	0.00 377.14 822.86	0.00  -9.17  +1.46	4.71	13.72
▶	38	0 12 26	0.00 378.95 821.05	0.00  -7.37  -0.35	3.39	10.75
▶	41	0 13 28	0.00 380.49 819.51	0.00  -5.83  -1.89	2.43	8.29
▶	44	0 14 30	0.00 381.82 818.18	0.00  -4.50  -3.22	1.89	6.93
▶	47	0 15 32	0.00 382.98 817.02	0.00  -3.33  -4.38	1.87	7.31
▶	50	0 16 34	0.00 384.00 816.00	0.00  -2.31  -5.40	2.21	9.21
▶	53	0 17 36	0.00 384.91 815.09	0.00  -1.41  -6.30	2.70	11.93
▶	58	0 19 40	0.00 393.10 827.59	0.00  +6.79  +6.19	3.07	14.83
▶	60	0 19 41	0.00 380.00 820.00	0.00  -6.31  -1.40	2.71	13.54