16:20:25:28

Chord information

Harmonics	16:20:25:28
Subharmonics	1/(175:140:112:100)
Intervals from root	1/1–5/4–25/16–7/4
Cents from root	0¢–386¢–773¢–969¢
Step intervals	5/4, 5/4, 28/25
Step cents	386¢, 386¢, 196¢
Color name	har-7 yoyo-5 or h7(yy5)
Prime limit	7
Genus	52⋅7 (175)
Intervallic odd limit	25
Otonal odd limit	25
Utonal odd limit	175
Consistent edos (d ≥ 2)	6edo*, 25edo*, 31edo**, 37edo*, …
* 2 ≤ d < 4; ** 4 ≤ d < 8; *** 8 ≤ d < 16; …

16:20:25:28 is a condissonant dominant seventh sharp five chord.

In archytas temperament, it is tempered together with the 5-limit 144:180:225:256.

Edo approximations for 16:20:25:28 ▶
intervals: 5/4, 25/16, 7/4 · ≤ 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 +27.37 +31.17	12.29	6.14
▶	12	0  4  8 10	0.00 400.00 800.00 1000.00	0.00 +13.69 +27.37 +31.17	12.29	12.29
▶	16	0  5 10 13	0.00 375.00 750.00  975.00	0.00 -11.31 -22.63  +6.17	11.02	14.69
▶	19	0  6 12 15	0.00 378.95 757.89  947.37	0.00  -7.37 -14.73 -21.46	8.02	12.70
▶	25	0  8 16 20	0.00 384.00 768.00  960.00	0.00  -2.31  -4.63  -8.83	3.26	6.79
▶	31	0 10 20 25	0.00 387.10 774.19  967.74	0.00  +0.78  +1.57  -1.08	0.98	2.53
▶	37	0 12 24 30	0.00 389.19 778.38  972.97	0.00  +2.88  +5.75  +4.15	2.11	6.50
▶	41	0 13 26 33	0.00 380.49 760.98  965.85	0.00  -5.83 -11.65  -2.97	4.30	14.69
▶	43	0 14 28 35	0.00 390.70 781.40  976.74	0.00  +4.38  +8.77  +7.92	3.46	12.39
▶	47	0 15 30 38	0.00 382.98 765.96  970.21	0.00  -3.33  -6.67  +1.39	3.12	12.22
▶	50	0 16 32 40	0.00 384.00 768.00  960.00	0.00  -2.31  -4.63  -8.83	3.26	13.58
▶	53	0 17 34 43	0.00 384.91 769.81  973.58	0.00  -1.41  -2.82  +4.76	2.85	12.59
▶	56	0 18 36 45	0.00 385.71 771.43  964.29	0.00  -0.60  -1.20  -4.54	1.76	8.21