40/23

40/23, the vicesimotertial ultramajor sixth, is a 23-limit interval.

Interval information

Ratio	40/23
Subgroup monzo	2.5.23 [3 1 -1⟩
Size in cents	958.0394¢
Names	vicesimotertial ultramajor sixth, vicesimotertial inframinor seventh, vicesimotertial semitwelfth
Color name	23uy6, twethuyo 6th
FJS name	[math]\displaystyle{ \text{m7}^{5}_{23} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	9.84549
Weil norm (log2 max(n, d))	10.6439
Wilson norm (sopfr(nd))	34
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Approximation

Edo approximations for 40/23 (958.04 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
5	4\5	960.00	+1.96	+0.82
10	8\10	960.00	+1.96	+1.63
15	12\15	960.00	+1.96	+2.45
20	16\20	960.00	+1.96	+3.27
25	20\25	960.00	+1.96	+4.08
30	24\30	960.00	+1.96	+4.90
35	28\35	960.00	+1.96	+5.72
40	32\40	960.00	+1.96	+6.54
45	36\45	960.00	+1.96	+7.35
50	40\50	960.00	+1.96	+8.17
55	44\55	960.00	+1.96	+8.99
60	48\60	960.00	+1.96	+9.80
64	51\64	956.25	-1.79	-9.54
69	55\69	956.52	-1.52	-8.73
74	59\74	956.76	-1.28	-7.91
79	63\79	956.96	-1.08	-7.09

See also

• 23/20 – its octave complement
• Gallery of just intervals

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