23/12

Interval information

Ratio	23/12
Subgroup monzo	2.3.23 [-2 -1 1⟩
Size in cents	1126.319¢
Name	large vicesimotertial major seventh
Color name	23o8, twetho 8ve
FJS name	[math]\displaystyle{ \text{M7}^{23} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	8.10852
Weil norm (log2 max(n, d))	9.04712
Wilson norm (sopfr(nd))	30
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The large vicesimotertial major seventh is a 23-limit interval that is reached by going a justly tuned perfect twelve (3/1, the 3rd harmonic) down from the 23rd harmonic (23/1) and lifting the resulting ratio up to fit inside the octave.

Approximation

Edo approximations for 23/12 (1126.32 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
15	14\15	1120.00	-6.32	-7.90
16	15\16	1125.00	-1.32	-1.76
17	16\17	1129.41	+3.09	+4.38
31	29\31	1122.58	-3.74	-9.66
32	30\32	1125.00	-1.32	-3.52
33	31\33	1127.27	+0.95	+2.62
34	32\34	1129.41	+3.09	+8.76
48	45\48	1125.00	-1.32	-5.28
49	46\49	1126.53	+0.21	+0.86
50	47\50	1128.00	+1.68	+7.00
64	60\64	1125.00	-1.32	-7.04
65	61\65	1126.15	-0.17	-0.90
66	62\66	1127.27	+0.95	+5.24
80	75\80	1125.00	-1.32	-8.80