96/65: Difference between revisions
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{{Infobox Interval|Name=tridecimal grave fifth | {{Infobox Interval|Name=tridecimal grave fifth | ||
tridecimal wolf fifth | tridecimal wolf fifth | ||
wilsormic fifth|Color name=thugu 5th, 3ug5|Sound=}}'''96/65''' is a grave fifth of about 138.6¢. It is flat of the just fifth [[3/2]] by [[65/64]] (about 26.8¢), the | wilsormic fifth|Color name=thugu 5th, 3ug5|Sound=}}'''96/65''' is a grave fifth (subgroup 2.3.5.13) of about 138.6¢. It is flat of the just fifth [[3/2]] by [[65/64]] (about 26.8¢), and by the classic grave fifth [[40/27]] by 324/325 (about 5.33¢) and it is also the difference between [[8/5]] and [[13/12]]. | ||
== Approximation == | == Approximation == | ||
It is approximated to within about -0.11 [[cents]] by the 9- | It is approximated to within about -0.11 [[cents]] by the 9-edostep interval of [[26edo|16edo]]. It is also very well approximated by the 122-edostep interval [[217edo]] at -0.46¢. | ||
== Temperaments == | == Temperaments == | ||
It can be used as a rational generator for [[mavila]], thanks to its great approximation by 16edo, for those interested in [[Armodue theory]]. | It can be used as a rational generator for [[mavila]], thanks to its great approximation by 16edo, for those interested in [[Armodue theory]]. | ||
== [[40/27|See also]] == | |||
* [[65/48]] - its [[octave complement]] | |||
* [[65/64]] – its [[fifth complement]] | |||
* [[2.3.5.13 subgroup]] | |||
* [[Gallery of just intervals]] | |||
Latest revision as of 21:34, 12 September 2025
| Interval information |
tridecimal wolf fifth wilsormic fifth
96/65 is a grave fifth (subgroup 2.3.5.13) of about 138.6¢. It is flat of the just fifth 3/2 by 65/64 (about 26.8¢), and by the classic grave fifth 40/27 by 324/325 (about 5.33¢) and it is also the difference between 8/5 and 13/12.
Approximation
It is approximated to within about -0.11 cents by the 9-edostep interval of 16edo. It is also very well approximated by the 122-edostep interval 217edo at -0.46¢.
Temperaments
It can be used as a rational generator for mavila, thanks to its great approximation by 16edo, for those interested in Armodue theory.