20/11

Interval information

Ratio	20/11
Factorization	22 × 5 × 11-1
Monzo	[2 0 1 0 -1⟩
Size in cents	1034.996¢
Names	small undecimal neutral seventh, undecimal supraminor seventh
Color name	1uy7, luyo 7th
FJS name	[math]\displaystyle{ \text{M7}^{5}_{11} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	7.78136
Weil norm (log2 max(n, d))	8.64386
Wilson norm (sopfr(nd))	20
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20/11 the small undecimal neutral seventh or undecimal supraminor seventh is an 11-limit interval measuring about 1035 ¢ in size.

Approximation

20/11 is approximated extremely precisely by 80edo and its multiples, with a chain of eighty 20/11's failing to close at the octave by a mere third of a cent, close enough that you could theoretically tune an instrument to 80edo by ear using it if you had the patience.

Edo approximations for 20/11 (1035.00 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
7	6\7	1028.57	-6.42	-3.75
14	12\14	1028.57	-6.42	-7.50
15	13\15	1040.00	+5.00	+6.26
22	19\22	1036.36	+1.37	+2.51
29	25\29	1034.48	-0.51	-1.24
36	31\36	1033.33	-1.66	-4.99
37	32\37	1037.84	+2.84	+8.76
43	37\43	1032.56	-2.44	-8.73
44	38\44	1036.36	+1.37	+5.02
51	44\51	1035.29	+0.30	+1.27
58	50\58	1034.48	-0.51	-2.48
65	56\65	1033.85	-1.15	-6.23
66	57\66	1036.36	+1.37	+7.52
72	62\72	1033.33	-1.66	-9.97
73	63\73	1035.62	+0.62	+3.78
80	69\80	1035.00	+0.00	+0.03

See also

• 11/10 – its octave complement
• Gallery of just intervals