35/26

Interval information

Ratio	35/26
Factorization	2-1 × 5 × 7 × 13-1
Monzo	[-1 0 1 1 0 -1⟩
Size in cents	514.612¢
Name	animist fourth
Color name	3uzy4, thuzoyo 4th
FJS name	[math]\displaystyle{ \text{A4}^{5,7}_{13} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	9.82972
Weil norm (log2 max(n, d))	10.2586
Wilson norm (sopfr(nd))	27
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The animist fourth (frequency ratio 35/26) is a 13-limit interval which is well approximated in several equal step tunings, most notably 7edo (as 3\7). As its name implies, it is an animist comma (105/104) wider than a just perfect fourth (4/3).

Approximation

Edo approximations for 35/26 (514.61 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
7	3\7	514.29	-0.33	-0.19
14	6\14	514.29	-0.33	-0.38
21	9\21	514.29	-0.33	-0.57
28	12\28	514.29	-0.33	-0.76
35	15\35	514.29	-0.33	-0.95
42	18\42	514.29	-0.33	-1.14
49	21\49	514.29	-0.33	-1.33
56	24\56	514.29	-0.33	-1.52
63	27\63	514.29	-0.33	-1.71
70	30\70	514.29	-0.33	-1.90
77	33\77	514.29	-0.33	-2.09

See also

• 52/35 – its octave complement
• Gallery of just intervals