23/21

Interval information

Ratio	23/21
Subgroup monzo	3.7.23 [-1 -1 1⟩
Size in cents	157.4934¢
Name	large vicesimotertial neutral second
Color name	23or2, twethoru 2nd
FJS name	[math]\displaystyle{ \text{A1}^{23}_{7} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	8.91588
Weil norm (log2 max(n, d))	9.04712
Wilson norm (sopfr(nd))	33
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23/21, the large vicesimotertial neutral second is a 23-limit interval. It is mediant of two undecimal neutral seconds, 11/10 and 12/11. Two of them fall short of 6/5 by 2646/2645.

Approximation

Edo approximations for 23/21 (157.49 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
7	1\7	171.43	+13.94	+8.13
8	1\8	150.00	-7.49	-5.00
15	2\15	160.00	+2.51	+3.13
16	2\16	150.00	-7.49	-9.99
23	3\23	156.52	-0.97	-1.86
30	4\30	160.00	+2.51	+6.27
31	4\31	154.84	-2.65	-6.86
38	5\38	157.89	+0.40	+1.27
45	6\45	160.00	+2.51	+9.40
46	6\46	156.52	-0.97	-3.72
53	7\53	158.49	+1.00	+4.40
54	7\54	155.56	-1.94	-8.72
61	8\61	157.38	-0.12	-0.59
68	9\68	158.82	+1.33	+7.54
69	9\69	156.52	-0.97	-5.59
76	10\76	157.89	+0.40	+2.54

See also

• 42/23 – its octave complement
• 25/23 – the small vicesimotertial neutral second
• Gallery of just intervals
• 23-odd-limit