25/17

Interval information

Ratio	25/17
Factorization	52 × 17-1
Monzo	[0 0 2 0 0 0 -1⟩
Size in cents	667.672 ¢
Name	vengeance subfifth
Color name	17uyy4, suyoyo 4th
FJS name	[math]\displaystyle{ \text{AA4}^{5,5}_{17} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	8.73132
Weil norm (log2 max(n, d))	9.28771
Wilson norm (sopfr(nd))	27
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25/17, the vengeance subfifth, is a 17-limit interval. It is particularly close to 4/e, where e is natural logarithm base 2.71828…

The names derives from a culturally famous Bible passage Ezekiel 25:17.

Approximation

Edo approximations for 25/17 (667.67 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
9	5\9	666.67	-1.01	-0.75
16	9\16	675.00	+7.33	+9.77
18	10\18	666.67	-1.01	-1.51
25	14\25	672.00	+4.33	+9.02
27	15\27	666.67	-1.01	-2.26
34	19\34	670.59	+2.92	+8.26
36	20\36	666.67	-1.01	-3.02
43	24\43	669.77	+2.10	+7.51
45	25\45	666.67	-1.01	-3.77
52	29\52	669.23	+1.56	+6.75
54	30\54	666.67	-1.01	-4.52
61	34\61	668.85	+1.18	+6.00
63	35\63	666.67	-1.01	-5.28
70	39\70	668.57	+0.90	+5.25
72	40\72	666.67	-1.01	-6.03
79	44\79	668.35	+0.68	+4.49

See also

• 34/25 – its octave complement
• Gallery of just intervals
• 25-odd-limit

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