34/25
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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]\text{dd5}^{17}_{5,5}[/math]
Special properties
reduced
Tenney height (log2 nd)
9.73132
Weil height (log2 max(n, d))
10.1749
Wilson height (sopfr(nd))
29
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.27596 bits
[sound info]
open this interval in xen-calc
Interval information |
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
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.