299edo: Difference between revisions

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== 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 ===
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=== Subsets and supersets ===
=== Subsets and supersets ===
Since 299 factors into {{factorization|299}}, 299edo contains [[13edo]] and [[23edo]] as subsets.
Since 299 factors into 13 × 23, 299edo contains [[13edo]] and [[23edo]] as subsets.


== Regular temperament properties ==
== Regular temperament properties ==