299edo: Difference between revisions
→Regular temperament properties: clarify |
→Theory: +subsets and supersets |
||
| Line 3: | Line 3: | ||
== Theory == | == Theory == | ||
In the 5-limit, 299et tempers out the [[kleisma]], 15625/15552, in the 7-limit [[10976/10935]], in the 11-limit [[385/384]]; and in the 13-limit [[325/324]], [[625/624]] and [[676/675]]. It provides the [[optimal patent val]] for the 13-limit rank-3 [[enlil]] temperament, and the rank-4 temperament tempering out 325/324 and 385/384. | In the 5-limit, 299et [[tempering out|tempers out]] the [[kleisma]], 15625/15552, in the 7-limit [[10976/10935]], in the 11-limit [[385/384]]; and in the 13-limit [[325/324]], [[625/624]] and [[676/675]]. It provides the [[optimal patent val]] for the 13-limit rank-3 [[enlil]] temperament, and the rank-4 temperament tempering out 325/324 and 385/384. | ||
=== Prime harmonics === | === Prime harmonics === | ||
{{Harmonics in equal|299}} | {{Harmonics in equal|299}} | ||
=== Subsets and supersets === | |||
Since 299 factors into {{factorization|299}}, 299edo contains [[13edo]] and [[23edo]] as subsets. | |||
== Regular temperament properties == | == Regular temperament properties == | ||