2310:2772:3465:3960:5040:6160

Chord information

Harmonics	2310:2772:3465:3960:5040:6160
Subharmonics	1/(24:20:16:14:11:9)
Intervals from root	1/1–6/5–3/2–12/7–24/11–8/3
Cents from root	0¢–316¢–702¢–933¢–1351¢–1698¢
Step intervals	6/5, 5/4, 8/7, 14/11, 11/9
Step cents	316¢, 386¢, 231¢, 418¢, 347¢
Prime limit	11
Genus	32⋅5⋅7⋅11 (3465)
Intervallic odd limit	11
Otonal odd limit	3465
Utonal odd limit	11
Consistent edos (d ≥ 1.5)	31edo, 46edo, 72edo*
* 2 ≤ d < 4; ** 4 ≤ d < 8; *** 8 ≤ d < 16; …

1/(24:20:16:14:11:9) is an 11-limit hexad that contains all odd subharmonics from 1 to 11. This chord is an extension of the subharmonic sixth chord 1/(12:10:8:7), which adds 24/11 and 8/3. This chord has a similar shape to 4:5:6:7:9:11, except the 5/4 is inflected down by 25/24, the 7/4 is inflected down by 49/48, and the 9/4 and 11/4 are both inflected down by 33/32.

Edo approximations for 2310:2772:3465:3960:5040:6160 ▶
intervals: 6/5, 3/2, 12/7, 24/11, 8/3 · ≤ 60edo, RMS rel. error ≤ 15%

	Edo	Steps	Cents (¢)	Absolute errors (¢)	RMS (¢)	RMS (%)
▶	22	0  6 13 17 25 31	0.00 327.27 709.09 927.27 1363.64 1690.91	0.00 +11.63 +7.14 -5.86 +13.00 -7.14	7.98	14.62
▶	31	0  8 18 24 35 44	0.00 309.68 696.77 929.03 1354.84 1703.23	0.00  -5.96 -5.18 -4.10  +4.20 +5.18	4.43	11.45
▶	41	0 11 24 32 46 58	0.00 321.95 702.44 936.59 1346.34 1697.56	0.00  +6.31 +0.48 +3.46  -4.30 -0.48	3.31	11.31
▶	46	0 12 27 36 52 65	0.00 313.04 704.35 939.13 1356.52 1695.65	0.00  -2.60 +2.39 +6.00  +5.88 -2.39	3.52	13.50
▶	58	0 15 34 45 65 82	0.00 310.34 703.45 931.03 1344.83 1696.55	0.00  -5.30 +1.49 -2.09  -5.81 -1.49	2.63	12.73

See also

• 4:5:6:7:9:11 – its melodic inverse
• 1/(24:20:16:14:11) – one of its subchords
• 1/(24:20:16:14:9) – another subchord