25/13

Interval information

Ratio	25/13
Factorization	52 × 13-1
Monzo	[0 0 2 0 0 -1⟩
Size in cents	1132.1¢
Name	lesser tridecimal diminished octave
Color name	3uyy7, thuyoyo 7th
FJS name	[math]\displaystyle{ \text{A7}^{5,5}_{13} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	8.3443
Weil norm (log2 max(n, d))	9.28771
Wilson norm (sopfr(nd))	23
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25/13, the lesser tridecimal diminished octave, is a 13-limit interval.

Approximation

25/13 is very well approximated in 53edo, being only 0.024 ¢ sharp of 50\53.

Edo approximations for 25/13 (1132.10 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
16	15\16	1125.00	-7.10	-9.47
17	16\17	1129.41	-2.69	-3.81
18	17\18	1133.33	+1.23	+1.85
19	18\19	1136.84	+4.74	+7.51
34	32\34	1129.41	-2.69	-7.62
35	33\35	1131.43	-0.67	-1.96
36	34\36	1133.33	+1.23	+3.70
37	35\37	1135.14	+3.04	+9.36
52	49\52	1130.77	-1.33	-5.77
53	50\53	1132.08	-0.02	-0.11
54	51\54	1133.33	+1.23	+5.55
69	65\69	1130.43	-1.66	-9.57
70	66\70	1131.43	-0.67	-3.92
71	67\71	1132.39	+0.29	+1.74
72	68\72	1133.33	+1.23	+7.40

See also

• 26/25 -- its octave complement
• Gallery of just intervals
• 25-odd-limit