23/20

Interval information

Ratio	23/20
Subgroup monzo	2.5.23 [-2 -1 1⟩
Size in cents	241.9606¢
Names	vicesimotertial inframinor third, vicesimotertial ultramajor second, vicesimotertial semifourth
Color name	23og3, twethogu 3rd
FJS name	[math]\displaystyle{ \text{M2}^{23}_{5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	8.84549
Weil norm (log2 max(n, d))	9.04712
Wilson norm (sopfr(nd))	32
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23/20, the vicesimotertial inframinor third, is a 23-limit interval. 5 of them exceed the octave by the comma 6436343/6400000. It pairs with 30/23 to form the triad 20:23:30.

Approximation

Edo approximations for 23/20 (241.96 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
5	1\5	240.00	-1.96	-0.82
10	2\10	240.00	-1.96	-1.63
15	3\15	240.00	-1.96	-2.45
20	4\20	240.00	-1.96	-3.27
25	5\25	240.00	-1.96	-4.08
30	6\30	240.00	-1.96	-4.90
35	7\35	240.00	-1.96	-5.72
40	8\40	240.00	-1.96	-6.54
45	9\45	240.00	-1.96	-7.35
50	10\50	240.00	-1.96	-8.17
55	11\55	240.00	-1.96	-8.99
60	12\60	240.00	-1.96	-9.80
64	13\64	243.75	+1.79	+9.54
69	14\69	243.48	+1.52	+8.73
74	15\74	243.24	+1.28	+7.91
79	16\79	243.04	+1.08	+7.09

See also

• 40/23 – its octave complement
• Gallery of just intervals

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