36:45:56:64

Chord information

Harmonics	36:45:56:64
Subharmonics	1/(560:448:360:315)
Intervals from root	1/1–5/4–14/9–16/9
Cents from root	0¢–386¢–765¢–996¢
Step intervals	5/4, 56/45, 8/7
Step cents	386¢, 379¢, 231¢
Color name	yo add-7 zoqu-5 or y,7(zq5)
Prime limit	7
Genus	32⋅5⋅7 (315)
Intervallic odd limit	45
Otonal odd limit	45
Utonal odd limit	315
Consistent edos (d ≥ 2)	6edo*, 41edo*, 47edo*
* 2 ≤ d < 4; ** 4 ≤ d < 8; *** 8 ≤ d < 16; …

36:45:56:64 is a 9-odd-condissonant dominant seventh sharp five chord.

In marvel temperament it is tempered together with 144:180:225:256, producing a 9-odd-limit essentially tempered chord.

Edo approximations for 36:45:56:64 ▶
intervals: 5/4, 14/9, 16/9 · ≤ 60edo, RMS rel. error ≤ 15%

	Edo	Steps	Cents (¢)	Absolute errors (¢)	RMS (¢)	RMS (%)
▶	6	0  2  4  5	0.00 400.00 800.00 1000.00	0.00 +13.69 +35.08  +3.91	13.60	6.80
▶	10	0  3  6  8	0.00 360.00 720.00  960.00	0.00 -26.31 -44.92 -36.09	16.83	14.02
▶	12	0  4  8 10	0.00 400.00 800.00 1000.00	0.00 +13.69 +35.08  +3.91	13.60	13.60
▶	16	0  5 10 13	0.00 375.00 750.00  975.00	0.00 -11.31 -14.92 -21.09	7.67	10.23
▶	19	0  6 12 16	0.00 378.95 757.89 1010.53	0.00  -7.37  -7.02 +14.44	8.83	13.98
▶	22	0  7 14 18	0.00 381.82 763.64  981.82	0.00  -4.50  -1.28 -14.27	5.59	10.25
▶	25	0  8 16 21	0.00 384.00 768.00 1008.00	0.00  -2.31  +3.08 +11.91	5.40	11.24
▶	28	0  9 18 23	0.00 385.71 771.43  985.71	0.00  -0.60  +6.51 -10.38	6.03	14.07
▶	31	0 10 20 26	0.00 387.10 774.19 1006.45	0.00  +0.78  +9.28 +10.36	4.74	12.24
▶	35	0 11 22 29	0.00 377.14 754.29  994.29	0.00  -9.17 -10.63  -1.80	4.57	13.34
▶	41	0 13 26 34	0.00 380.49 760.98  995.12	0.00  -5.83  -3.94  -0.97	2.32	7.94
▶	47	0 15 30 39	0.00 382.98 765.96  995.74	0.00  -3.33  +1.04  -0.35	1.63	6.37
▶	53	0 17 34 44	0.00 384.91 769.81  996.23	0.00  -1.41  +4.90  +0.14	2.38	10.52
▶	57	0 18 36 47	0.00 378.95 757.89  989.47	0.00  -7.37  -7.02  -6.62	3.04	14.46