36:45:56

Chord information

Harmonics	36:45:56
Subharmonics	1/(70:56:45)
Intervals from root	1/1–5/4–14/9
Cents from root	0¢–386¢–765¢
Step intervals	5/4, 56/45
Step cents	386¢, 379¢
Color name	yo zoqu-5 or y(zq5)
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; …

36:45:56 is a 7-limit interpretation of the augmented triad, substituting a septimal minor sixth for the augmented fifth.

Edo approximations for 36:45:56 ▶
intervals: 5/4, 14/9 · ≤ 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 +35.08	14.44	7.22
▶	9	0  3  6	0.00 400.00 800.00	0.00 +13.69 +35.08	14.44	10.83
▶	12	0  4  8	0.00 400.00 800.00	0.00 +13.69 +35.08	14.44	14.44
▶	13	0  4  8	0.00 369.23 738.46	0.00 -17.08 -26.45	10.95	11.86
▶	16	0  5 10	0.00 375.00 750.00	0.00 -11.31 -14.92	6.35	8.47
▶	19	0  6 12	0.00 378.95 757.89	0.00  -7.37  -7.02	3.39	5.37
▶	22	0  7 14	0.00 381.82 763.64	0.00  -4.50  -1.28	1.89	3.47
▶	25	0  8 16	0.00 384.00 768.00	0.00  -2.31  +3.08	2.21	4.61
▶	28	0  9 18	0.00 385.71 771.43	0.00  -0.60  +6.51	3.22	7.51
▶	31	0 10 20	0.00 387.10 774.19	0.00  +0.78  +9.28	4.20	10.85
▶	34	0 11 22	0.00 388.24 776.47	0.00  +1.92 +11.55	5.06	14.32
▶	35	0 11 22	0.00 377.14 754.29	0.00  -9.17 -10.63	4.71	13.72
▶	38	0 12 24	0.00 378.95 757.89	0.00  -7.37  -7.02	3.39	10.75
▶	41	0 13 26	0.00 380.49 760.98	0.00  -5.83  -3.94	2.43	8.29
▶	44	0 14 28	0.00 381.82 763.64	0.00  -4.50  -1.28	1.89	6.93
▶	47	0 15 30	0.00 382.98 765.96	0.00  -3.33  +1.04	1.87	7.31
▶	50	0 16 32	0.00 384.00 768.00	0.00  -2.31  +3.08	2.21	9.21
▶	53	0 17 34	0.00 384.91 769.81	0.00  -1.41  +4.90	2.70	11.93
▶	58	0 19 37	0.00 393.10 765.52	0.00  +6.79  +0.60	3.07	14.83
▶	60	0 19 38	0.00 380.00 760.00	0.00  -6.31  -4.92	2.71	13.54

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