133edo: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro}}
{{ED intro}}


The equal temperament [[tempering out|tempers out]] 393216/390625 ([[würschmidt comma]]) and 131072000/129140163 (rodan comma) in the 5-limit.  
133edo is only [[consistent]] to the [[5-odd-limit]]. The equal temperament [[tempering out|tempers out]] 393216/390625 ([[würschmidt comma]]) and 131072000/129140163 (rodan comma) in the 5-limit.  


Using the [[patent val]], it tempers out [[245/243]], [[1029/1024]] and 395136/390625 in the 7-limit; [[385/384]], [[441/440]], [[896/891]] and 43923/43750 in the 11-limit; [[196/195]], [[325/324]], [[352/351]], [[364/363]] and 3146/3125 in the 13-limit. It [[support]]s [[rodan]] and [[superenneadecal]].  
Using the [[patent val]], it tempers out [[245/243]], [[1029/1024]] and 395136/390625 in the 7-limit; [[385/384]], [[441/440]], [[896/891]] and 43923/43750 in the 11-limit; [[196/195]], [[325/324]], [[352/351]], [[364/363]] and 3146/3125 in the 13-limit. It [[support]]s [[rodan]] and [[superenneadecal]].  
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Using the 133d val, it tempers out [[1728/1715]], [[4000/3969]] and [[4375/4374]]. It supports [[enneadecal]].  
Using the 133d val, it tempers out [[1728/1715]], [[4000/3969]] and [[4375/4374]]. It supports [[enneadecal]].  


=== Odd harmonics ===
=== Prime harmonics ===
{{Harmonics in equal|133}}
{{Harmonics in equal|133}}
=== Subsets and supersets ===
Since 133 factors into {{factorization|133}}, 133edo contains [[7edo]] and [[19edo]] as its subsets.