189edo: Difference between revisions

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 {{Infobox ET}}
-'''189edo''' is the [[EDO|equal division of the octave]] into 189 parts of 6.3492 cents each. It tempers out 15625/15552 (kleisma) and 9007199254740992/8578797170610375 in the 5-limit; 4000/3969, 6144/6125, and 537824/531441 in the 7-limit, supporting the [[Kleismic family|hemikleismic temperament]]. Using the patent val, it tempers out 896/891, 1331/1323, 1375/1372, and 16896/16807 in the 11-limit; 169/168, 352/351, 364/363, and 1001/1000 in the 13-limit.
+{{EDO intro}}
-[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
+The equal temperament [[tempering out|tempers out]] 15625/15552 (kleisma) and 9007199254740992/8578797170610375 in the 5-limit; [[4000/3969]], [[6144/6125]], and 537824/531441 in the 7-limit, supporting the [[hemikleismic]] temperament. Using the [[patent val]], it tempers out [[896/891]], 1331/1323, 1375/1372, and 16896/16807 in the 11-limit; [[169/168]], [[352/351]], [[364/363]], and [[1001/1000]] in the 13-limit.
+=== Odd harmonics ===
+{{Harmonics in equal|189}}
+=== Subsets and supersets ===
+Since 189 factors into {{factorization|189}}, 189edo contains {{EDOs| 3, 7, 9, 21, 27, and 63 }} as its subsets.