34/25

Interval information

Ratio	34/25
Factorization	2 × 5-2 × 17
Monzo	[1 0 -2 0 0 0 1⟩
Size in cents	532.328¢
Name	vengeance superfourth
Color name	17ogg5, sogugu 5th
FJS name	[math]\displaystyle{ \text{dd5}^{17}_{5,5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	9.73132
Weil norm (log2 max(n, d))	10.1749
Wilson norm (sopfr(nd))	29
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34/25, the vengeance superfourth, is a 17-limit interval, named for its being the octave complement of 25/17. This interval is particularly close to the non-radical interval: e/2 (531.23405 cents), an octave reduction of the "e-tave" which appears in Gene Ward Smith's "Black Magic" Formulas.

Approximation

Edo approximations for 34/25 (532.33 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
9	4\9	533.33	+1.01	+0.75
16	7\16	525.00	-7.33	-9.77
18	8\18	533.33	+1.01	+1.51
25	11\25	528.00	-4.33	-9.02
27	12\27	533.33	+1.01	+2.26
34	15\34	529.41	-2.92	-8.26
36	16\36	533.33	+1.01	+3.02
43	19\43	530.23	-2.10	-7.51
45	20\45	533.33	+1.01	+3.77
52	23\52	530.77	-1.56	-6.75
54	24\54	533.33	+1.01	+4.52
61	27\61	531.15	-1.18	-6.00
63	28\63	533.33	+1.01	+5.28
70	31\70	531.43	-0.90	-5.25
72	32\72	533.33	+1.01	+6.03
79	35\79	531.65	-0.68	-4.49

See also

• 25/17 – its octave complement
• Gallery of just intervals
• 25-odd-limit