30/23

Interval information

Ratio	30/23
Subgroup monzo	2.3.5.23 [1 1 1 -1⟩
Size in cents	459.9944¢
Names	vicesimotertial ultramajor third, vicesimotertial semisixth
Color name	23uy3, twethuyo 3rd
FJS name	[math]\displaystyle{ \text{P4}^{5}_{23} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	9.43045
Weil norm (log2 max(n, d))	9.81378
Wilson norm (sopfr(nd))	33
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30/23, the vicesimotertial ultramajor third or vicesimotertial semisixth is a 23-limit interval. It is extremely closely approximated in 60edo by 23\60. It pairs with 23/20 to form the triad 20:23:30.

Approximation

Edo approximations for 30/23 (459.99 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
5	2\5	480.00	+20.01	+8.34
8	3\8	450.00	-9.99	-6.66
13	5\13	461.54	+1.54	+1.67
21	8\21	457.14	-2.85	-4.99
26	10\26	461.54	+1.54	+3.35
34	13\34	458.82	-1.17	-3.32
39	15\39	461.54	+1.54	+5.02
42	16\42	457.14	-2.85	-9.98
47	18\47	459.57	-0.42	-1.64
52	20\52	461.54	+1.54	+6.69
55	21\55	458.18	-1.81	-8.31
60	23\60	460.00	+0.01	+0.03
65	25\65	461.54	+1.54	+8.36
68	26\68	458.82	-1.17	-6.63
73	28\73	460.27	+0.28	+1.70

See also

• 23/15 – its octave complement
• Gallery of just intervals