532edo: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|532}}
{{ED intro}}


532edo is only [[consistent]] to the [[5-odd-limit]] since [[harmonic]] [[7/1|7]] is about halfway between its steps. As 532 = 19 × 28, 532edo [[tempering out|tempers out]] both the [[enneadeca]], which sets 6/5 to 5\19, and the [[oquatonic comma]], which sets 5/4 to 9\28. Therefore, it can be conceptualized as superset of [[19edo]] and [[28edo]]. In addition to the enneadecal and oquatonic, it also supports [[untriton]] in the 5-limit.  
532edo is only [[consistent]] to the [[5-odd-limit]] since [[harmonic]] [[7/1|7]] is about halfway between its steps. As 532 = 19 × 28, 532edo [[tempering out|tempers out]] both the [[enneadeca]], which sets 6/5 to 5\19, and the [[oquatonic comma]], which sets 5/4 to 9\28. Therefore, it can be conceptualized as superset of [[19edo]] and [[28edo]]. In addition to the enneadecal and oquatonic, it also supports [[untriton]] in the 5-limit.  
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=== Subsets and supersets ===
=== Subsets and supersets ===
Since 532 factors into 2<sup>2</sup> × 7 × 19, 532edo has subset edos {{EDOs| 2, 4, 7, 14, 19, 28, 38, 76, 133, and 266 }}.
Since 532 factors into {{factorization|532}}, 532edo has subset edos {{EDOs| 2, 4, 7, 14, 19, 28, 38, 76, 133, and 266 }}.