16:21:24

Chord information

Harmonics	16:21:24
Subharmonics	1/(21:16:14)
Intervals from root	1/1–21/16–3/2
Cents from root	0¢–471¢–702¢
Step intervals	21/16, 8/7
Step cents	471¢, 231¢
Prime limit	7
Genus	3⋅7 (21)
Intervallic odd limit	21
Otonal odd limit	21
Utonal odd limit	21
Consistent edos (d ≥ 2)	5edo**, 10edo*, 15edo*, 26edo*, …
* 2 ≤ d < 4; ** 4 ≤ d < 8; *** 8 ≤ d < 16; …

16:21:24 could also be called a 'Hypermajor chord', consisting of a septimal sub-fourth 21/16 that in this context may sound more like a third in the construction of a triad.

Edo approximations for 16:21:24 ▶
intervals: 21/16, 3/2 · ≤ 60edo, RMS rel. error ≤ 15%

	Edo	Steps	Cents (¢)	Absolute errors (¢)	RMS (¢)	RMS (%)
▶	7	0  3  4	0.00 514.29 685.71	0.00 +43.50 -16.24	25.22	14.71
▶	10	0  4  6	0.00 480.00 720.00	0.00  +9.22 +18.04	7.37	6.14
▶	12	0  5  7	0.00 500.00 700.00	0.00 +29.22  -1.96	14.26	14.26
▶	15	0  6  9	0.00 480.00 720.00	0.00  +9.22 +18.04	7.37	9.21
▶	17	0  7 10	0.00 494.12 705.88	0.00 +23.34  +3.93	10.20	14.45
▶	20	0  8 12	0.00 480.00 720.00	0.00  +9.22 +18.04	7.37	12.28
▶	21	0  8 12	0.00 457.14 685.71	0.00 -13.64 -16.24	7.12	12.46
▶	26	0 10 15	0.00 461.54 692.31	0.00  -9.24  -9.65	4.46	9.65
▶	31	0 12 18	0.00 464.52 696.77	0.00  -6.26  -5.18	2.73	7.06
▶	36	0 14 21	0.00 466.67 700.00	0.00  -4.11  -1.96	1.68	5.04
▶	38	0 15 22	0.00 473.68 694.74	0.00  +2.90  -7.22	4.26	13.48
▶	41	0 16 24	0.00 468.29 702.44	0.00  -2.49  +0.48	1.30	4.45
▶	43	0 17 25	0.00 474.42 697.67	0.00  +3.64  -4.28	3.24	11.60
▶	46	0 18 27	0.00 469.57 704.35	0.00  -1.22  +2.39	1.50	5.75
▶	48	0 19 28	0.00 475.00 700.00	0.00  +4.22  -1.96	2.58	10.31
▶	51	0 20 30	0.00 470.59 705.88	0.00  -0.19  +3.93	1.90	8.07
▶	53	0 21 31	0.00 475.47 701.89	0.00  +4.69  -0.07	2.23	9.84
▶	56	0 22 33	0.00 471.43 707.14	0.00  +0.65  +5.19	2.31	10.77
▶	58	0 23 34	0.00 475.86 703.45	0.00  +5.08  +1.49	2.13	10.31