24/13

Interval information

Ratio	24/13
Factorization	23 × 3 × 13-1
Monzo	[3 1 0 0 0 -1⟩
Size in cents	1061.427¢
Name	(greater) tridecimal neutral seventh
Color name	3u7, thu 7th
FJS name	[math]\displaystyle{ \text{M7}_{13} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	8.2854
Weil norm (log2 max(n, d))	9.16993
Wilson norm (sopfr(nd))	22
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In 13-limit just intonation, 24/13 is the (greater) tridecimal neutral seventh.

Approximation

Edo approximations for 24/13 (1061.43 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
8	7\8	1050.00	-11.43	-7.62
9	8\9	1066.67	+5.24	+3.93
17	15\17	1058.82	-2.60	-3.69
18	16\18	1066.67	+5.24	+7.86
26	23\26	1061.54	+0.11	+0.24
34	30\34	1058.82	-2.60	-7.38
35	31\35	1062.86	+1.43	+4.17
43	38\43	1060.47	-0.96	-3.45
44	39\44	1063.64	+2.21	+8.10
52	46\52	1061.54	+0.11	+0.48
60	53\60	1060.00	-1.43	-7.14
61	54\61	1062.30	+0.87	+4.41
69	61\69	1060.87	-0.56	-3.21
70	62\70	1062.86	+1.43	+8.34
78	69\78	1061.54	+0.11	+0.72

See also

• 13/12 – its octave complement
• Gallery of just intervals

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