23/16

Interval information

Ratio	23/16
Subgroup monzo	2.23 [-4 1⟩
Size in cents	628.2743¢
Names	octave-reduced 23rd harmonic, vicesimotertial wide tritone
Color name	23o5, twetho 5th
FJS name	[math]\displaystyle{ \text{A4}^{23} }[/math]
Special properties	reduced, reduced harmonic
Tenney norm (log2 nd)	8.52356
Weil norm (log2 max(n, d))	9.04712
Wilson norm (sopfr(nd))	31
[sound info]
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23/16 is the octave-reduced 23rd harmonic and is often referred to as a vicesimotertial wide tritone. It is very close to 21edo's 628.57143 cent interval.

Approximation

Edo approximations for 23/16 (628.27 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
2	1\2	600.00	-28.27	-4.71
4	2\4	600.00	-28.27	-9.42
17	9\17	635.29	+7.02	+9.94
19	10\19	631.58	+3.30	+5.23
21	11\21	628.57	+0.30	+0.52
23	12\23	626.09	-2.19	-4.19
25	13\25	624.00	-4.27	-8.90
40	21\40	630.00	+1.73	+5.75
42	22\42	628.57	+0.30	+1.04
44	23\44	627.27	-1.00	-3.67
46	24\46	626.09	-2.19	-8.38
61	32\61	629.51	+1.23	+6.27
63	33\63	628.57	+0.30	+1.56
65	34\65	627.69	-0.58	-3.15
67	35\67	626.87	-1.41	-7.87

See also

• 32/23 – its octave complement
• 24/23 – its fifth complement
• Gallery of just intervals

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