640edo: Difference between revisions

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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 &~~amp;~~ 385 temperament.

640edo is [[enfactoring|enfactored]] in the [[5-limit]], [[tempering out]] the [[vishnu comma]], {{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 [[hemiquintile]], the 255 & 385 temperament.

=== Odd harmonics ===

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=== Subsets and supersets ===

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 }}.

Since 640 factors into {{nowrap| 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 }}.

[[Category:Albus]]

[[Category:~~Hemipental~~]]

[[Category:Hemiquintile]]

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-{{EDO intro|640}}
+{{ED intro}}
-edo 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 &amp; 385 temperament.
+edo is [[enfactoring|enfactored]] in the [[5-limit]], [[tempering out]] the [[vishnu comma]], {{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 [[hemiquintile]], the 255 & 385 temperament.
 === Odd harmonics ===
@@ Line 8: / Line 8: @@
 === Subsets and supersets ===
-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 }}.
+Since 640 factors into {{nowrap| 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 }}.
 [[Category:Albus]]
-[[Category:Hemipental]]
+[[Category:Hemiquintile]]

640edo: Difference between revisions

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