147edo: Difference between revisions

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 {{Infobox ET}}
-'''147edo''' is the [[equal division of the octave]] into 147 parts of 8.1633 [[cent]]s each. It [[tempering out|tempers out]] [[32805/32768]] in the [[5-limit]]; [[225/224]] and [[3125/3087]] in the [[7-limit]]; [[243/242]] in the [[11-limit]]; [[364/363]] in the [[13-limit]]; [[442/441]] and [[595/594]] in the [[17-limit]]. It is the [[optimal patent val]] for the 11-limit 41&amp;106 temperament.
+{{EDO intro|147}}
-= [[3edo|3]] * [[7edo|7]]<span style="vertical-align: super;">2</span>, with divisors 3, 7, [[21edo|21]] and [[49edo|49]].
+== Theory ==
+edo [[tempering out|tempers out]] [[32805/32768]] in the [[5-limit]]; [[225/224]] and [[3125/3087]] in the [[7-limit]]; [[243/242]] in the [[11-limit]]; [[364/363]] in the [[13-limit]]; [[442/441]] and [[595/594]] in the [[17-limit]]. It is the [[optimal patent val]] for the 11-limit 41&amp;106 temperament.
-{{primes in edo|147|columns=10|start=2}}
+Since 147 = 3 × 7<sup>2</sup>, 147edo has subset edos {{EDOs| 3, 7, 21 and 49 }}.
+=== Prime harmonics ===
+{{Harmonics in equal|147|columns=11}}
 == Scales ==
 * [[baldy6]]
 * [[baldy11]]