11/6

Interval information

Ratio	11/6
Factorization	2-1 × 3-1 × 11
Monzo	[-1 -1 0 0 1⟩
Size in cents	1049.363¢
Name	undecimal neutral seventh
Color name	1o7, ilo 7th
FJS name	[math]\displaystyle{ \text{m7}^{11} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	6.04439
Weil norm (log2 max(n, d))	6.91886
Wilson norm (sopfr(nd))	16
[sound info]
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11/6 is the undecimal neutral seventh of about 1049.4 cents. It can be treated as a consonance in 11-limit harmony, forming a part of such chords as 6:7:9:11 (1-7/6-3/2-11/6) and the neutral tetrad 18:22:27:33 (1-11/9-3/2-11/6).

Coincidentally, the ratio between the most common musical tuning frequency (A440) and the most common electrical AC frequency in the Americas (60hz) is like 11/6, but two octaves up (thus, 22/3).

Approximation

Edo approximations for 11/6 (1049.36 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
8	7\8	1050.00	+0.64	+0.42
16	14\16	1050.00	+0.64	+0.85
24	21\24	1050.00	+0.64	+1.27
32	28\32	1050.00	+0.64	+1.70
40	35\40	1050.00	+0.64	+2.12
48	42\48	1050.00	+0.64	+2.55
55	48\55	1047.27	-2.09	-9.58
56	49\56	1050.00	+0.64	+2.97
63	55\63	1047.62	-1.74	-9.16
64	56\64	1050.00	+0.64	+3.40
71	62\71	1047.89	-1.48	-8.73
72	63\72	1050.00	+0.64	+3.82
79	69\79	1048.10	-1.26	-8.31
80	70\80	1050.00	+0.64	+4.25

See also

• 12/11 – its octave complement
• Iceface tuning
• Gallery of just intervals