34/25

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Interval information
Ratio 34/25
Factorization 2 × 5-2 × 17
Monzo [1 0 -2 0 0 0 1
Size in cents 532.32798¢
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{n\cdot d}[/math])
~4.60738 bits

[sound info]
open this interval in xen-calc

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.

See also