72:90:100:125

Chord information

Harmonics	72:90:100:125
Subharmonics	1/(125:100:90:72)
Intervals from root	1/1–5/4–25/18–125/72
Cents from root	0¢–386¢–569¢–955¢
Step intervals	5/4, 10/9, 5/4
Step cents	386¢, 182¢, 386¢
Color name	yo triyo-6 yoyopo-5 or y,y36(yyp5)
Prime limit	5
Genus	32⋅53 (1125)
Intervallic odd limit	125
Otonal odd limit	125
Utonal odd limit	125
Consistent edos (d ≥ 2)	6edo*, 19edo**, 25edo*, 34edo*, …
* 2 ≤ d < 4; ** 4 ≤ d < 8; *** 8 ≤ d < 16; …

72:90:100:125 is a possible interpretation of the meantone French sixth chord. Its homonym, 100:125:144:180, is a dominant seventh flat five chord.

In meantone, this chord is tempered to be equivalent to a tempered 128:160:180:225.

In septimal meantone, it is tempered to be equivalent to 20:25:28:35.

Edo approximations for 72:90:100:125 ▶
intervals: 5/4, 25/18, 125/72 · ≤ 60edo, RMS rel. error ≤ 15%

	Edo	Steps	Cents (¢)	Absolute errors (¢)	RMS (¢)	RMS (%)
▶	6	0  2  3  5	0.00 400.00 600.00 1000.00	0.00 +13.69 +31.28 +44.97	17.07	8.54
▶	9	0  3  4  7	0.00 400.00 533.33  933.33	0.00 +13.69 -35.38 -21.70	18.97	14.23
▶	13	0  4  6 10	0.00 369.23 553.85  923.08	0.00 -17.08 -14.87 -31.95	11.32	12.27
▶	15	0  5  7 12	0.00 400.00 560.00  960.00	0.00 +13.69  -8.72  +4.97	8.11	10.14
▶	19	0  6  9 15	0.00 378.95 568.42  947.37	0.00  -7.37  -0.30  -7.66	3.69	5.84
▶	21	0  7 10 17	0.00 400.00 571.43  971.43	0.00 +13.69  +2.71 +16.40	6.98	12.21
▶	25	0  8 12 20	0.00 384.00 576.00  960.00	0.00  -2.31  +7.28  +4.97	3.82	7.96
▶	28	0  9 13 22	0.00 385.71 557.14  942.86	0.00  -0.60 -11.57 -12.17	5.80	13.52
▶	34	0 11 16 27	0.00 388.24 564.71  952.94	0.00  +1.92  -4.01  -2.09	2.22	6.30
▶	38	0 12 18 30	0.00 378.95 568.42  947.37	0.00  -7.37  -0.30  -7.66	3.69	11.67
▶	40	0 13 19 32	0.00 390.00 570.00  960.00	0.00  +3.69  +1.28  +4.97	1.95	6.51
▶	44	0 14 21 35	0.00 381.82 572.73  954.55	0.00  -4.50  +4.01  -0.49	3.01	11.04
▶	46	0 15 22 37	0.00 391.30 573.91  965.22	0.00  +4.99  +5.20 +10.19	3.60	13.81
▶	53	0 17 25 42	0.00 384.91 566.04  950.94	0.00  -1.41  -2.68  -4.09	1.51	6.68
▶	59	0 19 28 47	0.00 386.44 569.49  955.93	0.00  +0.13  +0.77  +0.90	0.39	1.93