44/23

44/23, the small vicesimotertial major seventh, is a 23-limit interval.

Interval information

Ratio	44/23
Factorization	22 × 11 × 23-1
Monzo	[2 0 0 0 1 0 0 0 -1⟩
Size in cents	1123.044¢
Name	small vicesimotertial major seventh
Color name	23u1o7, twethulo 7th
FJS name	[math]\displaystyle{ \text{d8}^{11}_{23} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	9.98299
Weil norm (log2 max(n, d))	10.9189
Wilson norm (sopfr(nd))	38
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Approximation

Edo approximations for 44/23 (1123.04 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
15	14\15	1120.00	-3.04	-3.80
16	15\16	1125.00	+1.96	+2.61
17	16\17	1129.41	+6.37	+9.02
30	28\30	1120.00	-3.04	-7.61
31	29\31	1122.58	-0.46	-1.20
32	30\32	1125.00	+1.96	+5.22
46	43\46	1121.74	-1.30	-5.00
47	44\47	1123.40	+0.36	+1.41
48	45\48	1125.00	+1.96	+7.83
61	57\61	1121.31	-1.73	-8.80
62	58\62	1122.58	-0.46	-2.39
63	59\63	1123.81	+0.77	+4.02
77	72\77	1122.08	-0.97	-6.20
78	73\78	1123.08	+0.03	+0.22
79	74\79	1124.05	+1.01	+6.63

See also

• Gallery of just intervals
• 23-odd-limit

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