132edo: Difference between revisions

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 {{Infobox ET}}
-'''132edo''' is the [[EDO|equal division of the octave]] into 132 parts of 9.0909 cents each. Using the patent val, it 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, 2420/2401 and [[Quartisma|117440512/117406179]] in the 11-limit; 169/168, 325/324, 364/363, 640/637, and 1875/1859 in the 13-limit.
+{{ED intro}}
+edo is only [[consistent]] to the [[5-odd-limit]]. It [[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 ===
 {{Harmonics in equal|132}}
-[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
+=== Subsets and supersets ===
+Since 132 factors into {{factorization|132}}, 132edo has subset edos {{EDOs| 2, 3, 6, 11, 12, 22, 44, and 66 }}.