210:252:315:360:560

Chord information

Harmonics	210:252:315:360:560
Subharmonics	1/(24:20:16:14:9)
Intervals from root	1/1–6/5–3/2–12/7–8/3
Cents from root	0¢–316¢–702¢–933¢–1698¢
Step intervals	6/5, 5/4, 8/7, 14/9
Step cents	316¢, 386¢, 231¢, 765¢
Color names	sub-6 add-11 or s6,11 gu ru-6 add-11 or g,r6,11
Prime limit	7
Genus	32⋅5⋅7 (315)
Intervallic odd limit	9
Otonal odd limit	315
Utonal odd limit	9
Consistent edos (d ≥ 1.5)	31edo, 41edo*, 46edo, 53edo, …
* 2 ≤ d < 4; ** 4 ≤ d < 8; *** 8 ≤ d < 16; …

1/(24:20:16:14:9), the subharmonic sixth added-eleventh chord, is a pentad in 7-limit harmony. It extends the subharmonic sixth chord, 1/(12:10:8:7). It is the inverse of 4:5:6:7:9, and can serve as the fundamental utonal consonance of the 9-odd-limit, with many chords being a subset of it or one of its inversions.

This chord has a similar shape to 4:5:6:7:11, and can be obtained by inflecting the 5/4 down by 25/24, the 7/4 down by 49/48, and the 11/4 down by 33/32.

Edo approximations for 210:252:315:360:560 ▶
intervals: 6/5, 3/2, 12/7, 8/3 · ≤ 60edo, RMS rel. error ≤ 15%

	Edo	Steps	Cents (¢)	Absolute errors (¢)	RMS (¢)	RMS (%)
▶	12	0  3  7  9 17	0.00 300.00 700.00 900.00 1700.00	0.00 -15.64 -1.96 -33.13 +1.96	13.22	13.22
▶	19	0  5 11 15 27	0.00 315.79 694.74 947.37 1705.26	0.00  +0.15 -7.22 +14.24 +7.22	7.29	11.54
▶	22	0  6 13 17 31	0.00 327.27 709.09 927.27 1690.91	0.00 +11.63 +7.14  -5.86 -7.14	7.28	13.34
▶	27	0  7 16 21 38	0.00 311.11 711.11 933.33 1688.89	0.00  -4.53 +9.16  +0.20 -9.16	6.07	13.67
▶	31	0  8 18 24 44	0.00 309.68 696.77 929.03 1703.23	0.00  -5.96 -5.18  -4.10 +5.18	4.14	10.70
▶	41	0 11 24 32 58	0.00 321.95 702.44 936.59 1697.56	0.00  +6.31 +0.48  +3.46 -0.48	2.58	8.80
▶	46	0 12 27 36 65	0.00 313.04 704.35 939.13 1695.65	0.00  -2.60 +2.39  +6.00 -2.39	3.22	12.35
▶	53	0 14 31 41 75	0.00 316.98 701.89 928.30 1698.11	0.00  +1.34 -0.07  -4.83 +0.07	2.13	9.41
▶	58	0 15 34 45 82	0.00 310.34 703.45 931.03 1696.55	0.00  -5.30 +1.49  -2.09 -1.49	2.28	11.02

See also

• Its homonym 1/(9:7:6:5:4)