23/15

Interval information

Ratio	23/15
Subgroup monzo	3.5.23 [-1 -1 1⟩
Size in cents	740.0056¢
Name	vicesimotertial inframinor sixth
Color name	23og6, twethogu 6th
FJS name	[math]\displaystyle{ \text{P5}^{23}_{5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	8.43045
Weil norm (log2 max(n, d))	9.04712
Wilson norm (sopfr(nd))	31
[sound info]
Open this interval in xen-calc

23/15, the vicesimotertial inframinor sixth, is a 23-limit interval. It is extremely closely approximated in 60edo by 37\60. It is also very close to Logarithmic phi, about 1.6 cents flat.

Approximation

Edo approximations for 23/15 (740.01 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
5	3\5	720.00	-20.01	-8.34
8	5\8	750.00	+9.99	+6.66
13	8\13	738.46	-1.54	-1.67
21	13\21	742.86	+2.85	+4.99
26	16\26	738.46	-1.54	-3.35
34	21\34	741.18	+1.17	+3.32
39	24\39	738.46	-1.54	-5.02
42	26\42	742.86	+2.85	+9.98
47	29\47	740.43	+0.42	+1.64
52	32\52	738.46	-1.54	-6.69
55	34\55	741.82	+1.81	+8.31
60	37\60	740.00	-0.01	-0.03
65	40\65	738.46	-1.54	-8.36
68	42\68	741.18	+1.17	+6.63
73	45\73	739.73	-0.28	-1.70

See also

• 30/23 – its octave complement
• Gallery of just intervals

This page is a stub. You can help the Xenharmonic Wiki by expanding it.