34/25

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Interval information

Ratio

34/25

Factorization

2 × 5^-2 × 17

[1 0 -2 0 0 0 1⟩

Size in cents

532.328¢

Name

vengeance superfourth

17ogg5, sogugu 5th

[math]\displaystyle{ \text{dd5}^{17}_{5,5} }[/math]

Special properties

Tenney height (log₂ nd)

9.73132

Weil height (log₂ max(n, d))

10.1749

Wilson height (sopfr(nd))

29

Harmonic entropy
(Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])

~4.27596 bits

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

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