34/25: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Icon =
| Ratio = 34/25
| Ratio = 34/25
| Monzo = 1 0 -2 0 0 0 1
| Monzo = 1 0 -2 0 0 0 1
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}}
}}


'''34/25''' the '''vengeance superfourth''', is a 17-limit interval, named for its being the octave inverse 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|Gene Smith's]] "Black Magic" Formulas.
'''34/25''' the '''vengeance superfourth''', is a 17-limit interval, named for its being the octave inverse 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 ==
== See also ==


* [[25/17]] -- its [[octave complement]]
* [[25/17]] its [[octave complement]]
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]
* [[25-odd-limit]]
* [[25-odd-limit]]

Revision as of 14:15, 22 March 2022

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
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

[sound info]
Open this interval in xen-calc

34/25 the vengeance superfourth, is a 17-limit interval, named for its being the octave inverse 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