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