132edo: Difference between revisions

Cleanup and -redundant categories
+subsets and supersets; +one-liner overview
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{{EDO intro|132}}
{{EDO intro|132}}


Using the [[patent val]], the equal temperament [[tempering out|tempers out]] 531441/524288 ([[Pythagorean comma]]) and 48828125/47775744 ([[sycamore comma]]) in the 5-limit; [[1728/1715]], [[4000/3969]], and 234375/229376 in the 7-limit; 625/616, 1350/1331, 2187/2156, and 2420/2401 in the 11-limit; [[169/168]], [[325/324]], [[364/363]], [[640/637]], and 1875/1859 in the 13-limit.
132edo is only [[consistent]] to the [[5-odd-limit]]. The equal temperament [[tempering out|tempers out]] 531441/524288 ([[Pythagorean comma]]) and 48828125/47775744 ([[sycamore comma]]) in the 5-limit.
 
Using the [[patent val]], it tempers out [[1728/1715]], [[4000/3969]], and 234375/229376 in the 7-limit; 625/616, 1350/1331, 2187/2156, and 2420/2401 in the 11-limit; [[169/168]], [[325/324]], [[364/363]], [[640/637]], and 1875/1859 in the 13-limit.


=== Odd harmonics ===
=== Odd harmonics ===
{{Harmonics in equal|132}}
{{Harmonics in equal|132}}
=== Subsets and supersets ===
Since 132 factors into {{factorization|132}}, 132edo has subset edos {{EDOs| 2, 3, 6, 11, 12, 22, 44, and 66 }}.