299edo: Difference between revisions

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== Theory ==
== Theory ==
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.   
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.   


=== Prime harmonics ===
=== Prime harmonics ===
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| {{monzo| 474 -299 }}
| {{monzo| 474 -299 }}
| {{mapping| 299 474 }}
| {{mapping| 299 474 }}
| −0.1218
| −0.1218
| 0.1218
| 0.1218
| 3.04
| 3.04
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| [[Marfifths]]
| [[Marfifths]]
|}
|}
<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct
<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct


[[Category:Enlil]]
[[Category:Enlil]]
[[Category:Keenanismic]]
[[Category:Keenanismic]]