65/64: Difference between revisions

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In [[Just_intonation|Just Intonation]], 65/64, the wilsorma, is a [[superparticular|superparticular]] interval of around 26.8¢, nearly a quarter of a semitone or eighth of a tone. It belongs to the 13-prime limit, which means that the highest prime in the ratio is 13. 65 is 5 times 13, which means that 65/64 can be treated as a harmonic 13th above a harmonic 5th or vice versa. It is the difference between [[5/4|5/4]] and [[16/13|16/13]]; [[8/5|8/5]] and [[13/8|13/8]]; [[13/12|13/12]] and [[16/15|16/15]]; [[15/8|15/8]] and [[24/13|24/13]], [[13/10|13/10]] and [[32/25|32/25]]; [[20/13|20/13]] and [[25/16|25/16]], and of course, infinitely many other pairs of just intervals.
In [[just intonation]], '''65/64''', the '''wilsorma''', is a [[superparticular]] interval of around 26.8¢, nearly a quarter of a semitone or eighth of a tone. It belongs to the [[13-prime limit]], which means that the highest prime in the ratio is 13. 65 is 5 times 13, which means that 65/64 can be treated as a harmonic 13th above a harmonic 5th or vice versa. It is the difference between [[5/4]] and [[16/13]]; [[8/5]] and [[13/8]]; [[13/12]] and [[16/15]]; [[15/8]] and [[24/13]], [[13/10]] and [[32/25]]; [[20/13]] and [[25/16]], and of course, infinitely many other pairs of just intervals.


See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]]
== See also ==
 
* [[Gallery of just intervals]]
* [[64/63]]
 
[[Category:13-limit]]
[[Category:Interval ratio]]
[[Category:Superparticular]]
[[Category:Unison]]
[[Category:Comma]]

Revision as of 14:09, 21 June 2020

In just intonation, 65/64, the wilsorma, is a superparticular interval of around 26.8¢, nearly a quarter of a semitone or eighth of a tone. It belongs to the 13-prime limit, which means that the highest prime in the ratio is 13. 65 is 5 times 13, which means that 65/64 can be treated as a harmonic 13th above a harmonic 5th or vice versa. It is the difference between 5/4 and 16/13; 8/5 and 13/8; 13/12 and 16/15; 15/8 and 24/13, 13/10 and 32/25; 20/13 and 25/16, and of course, infinitely many other pairs of just intervals.

See also