32/23

Interval information

Ratio	32/23
Subgroup monzo	2.23 [5 -1⟩
Size in cents	571.7257¢
Names	vicesimotertial narrow tritone, octave-reduced 23rd subharmonic
Color name	23u4, twethu 4th
FJS name	[math]\displaystyle{ \text{d5}_{23} }[/math]
Special properties	reduced, reduced subharmonic
Tenney norm (log2 nd)	9.52356
Weil norm (log2 max(n, d))	10
Wilson norm (sopfr(nd))	33
[sound info]
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In 23-limit just intonation, 32/23 is a vicesimotertial narrow tritone.

Approximation

Edo approximations for 32/23 (571.73 ¢)
≤ 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	8\17	564.71	-7.02	-9.94
19	9\19	568.42	-3.30	-5.23
21	10\21	571.43	-0.30	-0.52
23	11\23	573.91	+2.19	+4.19
25	12\25	576.00	+4.27	+8.90
40	19\40	570.00	-1.73	-5.75
42	20\42	571.43	-0.30	-1.04
44	21\44	572.73	+1.00	+3.67
46	22\46	573.91	+2.19	+8.38
61	29\61	570.49	-1.23	-6.27
63	30\63	571.43	-0.30	-1.56
65	31\65	572.31	+0.58	+3.15
67	32\67	573.13	+1.41	+7.87

See also

• 23/16 – its octave complement
• 357/256 - nearby interval
• Gallery of just intervals

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