13edo: Difference between revisions
this fact is also notable about 13edo, while 13edo may itself not map it, it goes into supersets |
→Subsets and supersets: not just any approximation, 135/128 ~ 1\13 is semiconvergent |
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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 close to [[135/128]] by direct approximation. The 5-limit [[aluminium]] temperament realizes this proximity through a regular temperament perspective, and EDOs supporting it (for example, [[494edo]]), combine the sound of 13edo with relative simplicities of 5-limit JI. | 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. | ||
== Intervals == | == Intervals == | ||