640edo: Difference between revisions

Adopt template: EDO intro; +prime error table; +subsets and supersets
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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|640}}
{{ED intro}}


640edo is [[enfactoring|enfactored]] in the 5-limit, [[tempering out]] the [[vishnuzma]], {{monzo| 23 6 -14 }}, with the same tuning as [[320edo]]. In the 7-limit it tempers out [[19683/19600]] and {{monzo| 16 2 -1 -6 }} and in the 11-limit it tempers out [[540/539]], [[8019/8000]] and {{monzo| 14 -1 -2 -4 1 }}. It provides the [[optimal patent val]] for the rank-3 [[albus]] temperament tempering out 540/539 and 8019/8000, and [[hemipental]], the 255 & 385 temperament.
640edo is [[enfactoring|enfactored]] in the 5-limit, [[tempering out]] the [[vishnuzma]], {{monzo| 23 6 -14 }}, with the same tuning as [[320edo]]. In the 7-limit it tempers out [[19683/19600]] and {{monzo| 16 2 -1 -6 }} and in the 11-limit it tempers out [[540/539]], [[8019/8000]] and {{monzo| 14 -1 -2 -4 1 }}. It provides the [[optimal patent val]] for the rank-3 [[albus]] temperament tempering out 540/539 and 8019/8000, and [[hemipental]], the 255 & 385 temperament.
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=== Subsets and supersets ===
=== Subsets and supersets ===
Since 640 factors into 2<sup>7</sup> × 5, 640edo has subset edos {{EDOs| 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, and 320 }}.  
Since 640 factors into {{factorization|640}}, 640edo has subset edos {{EDOs| 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, and 320 }}.  


[[Category:Albus]]
[[Category:Albus]]
[[Category:Hemipental]]
[[Category:Hemipental]]