15:18:21:25

Chord information

Harmonics	15:18:21:25
Subharmonics	1/(210:175:150:126)
Intervals from root	1/1–6/5–7/5–5/3
Cents from root	0¢–316¢–583¢–884¢
Step intervals	6/5, 7/6, 25/21
Step cents	316¢, 267¢, 302¢
Color names	gu yo-6 zogu-5 or g,y6(zg5)
Prime limit	7
Genus	32⋅52⋅7 (1575)
Intervallic odd limit	25
Otonal odd limit	25
Utonal odd limit	175
Consistent edos (d ≥ 2)	4edo**, 8edo*, 19edo*, 23edo*, …
* 2 ≤ d < 4; ** 4 ≤ d < 8; *** 8 ≤ d < 16; …

15:18:21:25 is a condissonant diminished seventh chord.

In diminished temperament, the 25-odd-limit intervals within this chord are tempered together with 7-odd-limit intervals, resulting in a 7-odd-limit essentially tempered chord.

Edo approximations for 15:18:21:25 ▶
intervals: 6/5, 7/5, 5/3 · ≤ 60edo, RMS rel. error ≤ 15%

	Edo	Steps	Cents (¢)	Absolute errors (¢)	RMS (¢)	RMS (%)
▶	8	0  2  4  6	0.00 300.00 600.00 900.00	0.00 -15.64 +17.49 +15.64	13.40	8.94
▶	12	0  3  6  9	0.00 300.00 600.00 900.00	0.00 -15.64 +17.49 +15.64	13.40	13.40
▶	15	0  4  7 11	0.00 320.00 560.00 880.00	0.00  +4.36 -22.51  -4.36	10.22	12.78
▶	19	0  5  9 14	0.00 315.79 568.42 884.21	0.00  +0.15 -14.09  -0.15	6.10	9.66
▶	23	0  6 11 17	0.00 313.04 573.91 886.96	0.00  -2.60  -8.60  +2.60	4.15	7.96
▶	27	0  7 13 20	0.00 311.11 577.78 888.89	0.00  -4.53  -4.73  +4.53	3.80	8.56
▶	31	0  8 15 23	0.00 309.68 580.65 890.32	0.00  -5.96  -1.87  +5.96	4.29	11.09
▶	35	0  9 17 26	0.00 308.57 582.86 891.43	0.00  -7.07  +0.34  +7.07	5.00	14.59
▶	45	0 12 22 33	0.00 320.00 586.67 880.00	0.00  +4.36  +4.15  -4.36	3.57	13.38
▶	49	0 13 24 36	0.00 318.37 587.76 881.63	0.00  +2.73  +5.24  -2.73	2.98	12.16
▶	53	0 14 26 39	0.00 316.98 588.68 883.02	0.00  +1.34  +6.17  -1.34	2.83	12.51
▶	57	0 15 28 42	0.00 315.79 589.47 884.21	0.00  +0.15  +6.96  -0.15	3.02	14.33