13edo: Difference between revisions

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13edo is the sixth [[prime edo]], following [[11edo]] and coming before [[17edo]].
13edo is the sixth [[prime edo]], following [[11edo]] and coming before [[17edo]].


One step of 13edo is very close to [[135/128]] by direct approximation, in fact one might stress that it is a [[Wikipedia:Continued_fraction|semiconvergent]]. The 5-limit [[aluminium]] temperament realizes this proximity through a regular temperament perspective, and EDOs supporting it (for example, [[494edo]] or [[1547edo]]), combine the sound of 13edo with relative simplicities and precision of 5-limit JI.
One step of 13edo is very close to [[135/128]] by direct approximation (it is a [[Wikipedia:Continued_fraction|semiconvergent]]). The 5-limit [[aluminium]] temperament (supported by [[65edo]], [[494edo]] and [[1547edo]]) realizes this proximity through a regular temperament perspective, combining the sound of 13edo with the simplicity of 5-limit JI.


== Intervals ==
== Intervals ==