299edo: Difference between revisions

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The ''299 equal division'' divides the octave into 299 parts of 4.013 cents each. In the 5-limit it 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.
The '''299 equal divisions of the octave''' divides the octave into 299 parts of 4.013 cents each. In the 5-limit it 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.
 
[[Category:Equal divisions of the octave]]
[[Category:Enlil]]
[[Category:Keenanismic]]

Revision as of 13:18, 9 August 2021

The 299 equal divisions of the octave divides the octave into 299 parts of 4.013 cents each. In the 5-limit it 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.