20:24:28:35

20:24:28:35 is a condissonant half-diminished seventh chord.

Chord information

Harmonics	20:24:28:35
Subharmonics	1/(42:35:30:24)
Intervals from root	1/1–6/5–7/5–7/4
Cents from root	0¢–316¢–583¢–969¢
Step intervals	6/5, 7/6, 5/4
Step cents	316¢, 267¢, 386¢
Color name	gu zo-7 zogu-5 or g,z7(zg5)
Prime limit	7
Genus	3⋅5⋅7 (105)
Intervallic odd limit	35
Otonal odd limit	35
Utonal odd limit	35
Consistent edos (d ≥ 2)	31edo*, 68edo**, 72edo*
* 2 ≤ d < 4; ** 4 ≤ d < 8; *** 8 ≤ d < 16; …

In archytas temperament, it is tempered together with 45:54:64:80.

Edo approximations for 20:24:28:35 ▶
intervals: 6/5, 7/5, 7/4 · ≤ 60edo, RMS rel. error ≤ 15%

	Edo	Steps	Cents (¢)	Absolute errors (¢)	RMS (¢)	RMS (%)
▶	15	0  4  7 12	0.00 320.00 560.00 960.00	0.00  +4.36 -22.51  -8.83	10.27	12.83
▶	19	0  5  9 15	0.00 315.79 568.42 947.37	0.00  +0.15 -14.09 -21.46	9.30	14.72
▶	22	0  6 11 18	0.00 327.27 600.00 981.82	0.00 +11.63 +17.49 +12.99	6.45	11.83
▶	27	0  7 13 22	0.00 311.11 577.78 977.78	0.00  -4.53  -4.73  +8.95	5.55	12.48
▶	31	0  8 15 25	0.00 309.68 580.65 967.74	0.00  -5.96  -1.87  -1.08	2.26	5.83
▶	35	0  9 17 28	0.00 308.57 582.86 960.00	0.00  -7.07  +0.34  -8.83	4.11	11.99
▶	37	0 10 18 30	0.00 324.32 583.78 972.97	0.00  +8.68  +1.27  +4.15	3.34	10.28
▶	41	0 11 20 33	0.00 321.95 585.37 965.85	0.00  +6.31  +2.85  -2.97	3.44	11.74
▶	46	0 12 22 37	0.00 313.04 573.91 965.22	0.00  -2.60  -8.60  -3.61	3.12	11.96
▶	50	0 13 24 40	0.00 312.00 576.00 960.00	0.00  -3.64  -6.51  -8.83	3.30	13.74
▶	53	0 14 26 43	0.00 316.98 588.68 973.58	0.00  +1.34  +6.17  +4.76	2.49	11.01
▶	57	0 15 28 46	0.00 315.79 589.47 968.42	0.00  +0.15  +6.96  -0.40	3.06	14.53