42/23

Interval information

Ratio	42/23
Subgroup monzo	2.3.7.23 [1 1 1 -1⟩
Size in cents	1042.507¢
Name	small vicesimotertial neutral seventh
Color name	23uz7, twethuzo 7th
FJS name	[math]\displaystyle{ \text{d8}^{7}_{23} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	9.91588
Weil norm (log2 max(n, d))	10.7846
Wilson norm (sopfr(nd))	35
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42/23, the small vicesimotertial neutral seventh, is a 23-limit interval.

Approximation

Edo approximations for 42/23 (1042.51 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
7	6\7	1028.57	-13.94	-8.13
8	7\8	1050.00	+7.49	+5.00
15	13\15	1040.00	-2.51	-3.13
16	14\16	1050.00	+7.49	+9.99
23	20\23	1043.48	+0.97	+1.86
30	26\30	1040.00	-2.51	-6.27
31	27\31	1045.16	+2.65	+6.86
38	33\38	1042.11	-0.40	-1.27
45	39\45	1040.00	-2.51	-9.40
46	40\46	1043.48	+0.97	+3.72
53	46\53	1041.51	-1.00	-4.40
54	47\54	1044.44	+1.94	+8.72
61	53\61	1042.62	+0.12	+0.59
68	59\68	1041.18	-1.33	-7.54
69	60\69	1043.48	+0.97	+5.59
76	66\76	1042.11	-0.40	-2.54

See also

• 23/21 – its octave complement
• 46/25 – the large vicesimotertial neutral seventh
• Gallery of just intervals
• 25-odd-limit

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