4650edo: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|4650}}
{{ED intro}}
 
4650edo is [[consistent]] in the [[15-odd-limit]], with optional additions of [[19/16|19]] and [[31/16|31]]. Some of the simpler commas it [[tempering out|tempers out]] include [[250047/250000]] in the 7-limit; [[9801/9800]] and [[151263/151250]] in the 11-limit; [[10648/10647]] and [[123201/123200]] in the 13-limit. It provides the optimal patent val for the 30th-octave temperament [[zinc]] in the 7-limit and the 13-limit.


4650edo is [[consistent]] in the [[15-odd-limit]], with optional additions of [[19/16|19]] and [[31/16|31]]. It provides the optimal patent val for the 30th-octave temperament [[zinc]] in the 7-limit and the 13-limit.
=== Prime harmonics ===
=== Prime harmonics ===
{{Harmonics in equal|4650}}
{{Harmonics in equal|4650}}


=== Subsets and supersets ===
=== Subsets and supersets ===
 
Since 4650 factors as {{Factorization|4650}}, 4650edo has subset edos {{EDOs| 2, 3, 5, 6, 10, 15, 25, 30, 31, 50, 62, 75, 93, 150, 155, 186, 310, 465, 775, 930, 1550, 2325 }}.
Since 4650 factors as {{Factorization|4650}}, 4650edo has subset edos {{EDOs|1, 2, 3, 5, 6, 10, 15, 25, 30, 31, 50, 62, 75, 93, 150, 155, 186, 310, 465, 775, 930, 1550, 2325}}.