90edo: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|90}}  
{{EDO intro|90}}
It tempers out 2048/2025 in the 5-limit, 3125/3087 and 245/243 in the 7-limit, 121/120 and 176/175 in the 11-limit, and 275/273 and 169/168 in the 13-limit. It provides the optimal patent val for the 31&90 temperament in the 7-, 11- and 13-limits. Notably, it is the second lowest in a series of four consecutive EDOs to temper out [[Quartisma|117440512/117406179]].
 
== Theory ==
As an equal temperament, it [[tempering out|tempers out]] 2048/2025 ([[diaschisma]]) in the 5-limit, [[245/243]] and [[3125/3087]] in the 7-limit, [[121/120]] and [[176/175]] in the 11-limit, and [[169/168]] and [[275/273]] in the 13-limit. It provides the [[optimal patent val]] for the 31 & 90 temperament in the 7-, 11- and 13-limit. Notably, it is the second lowest in a series of four consecutive edos to temper out the [[quartisma]].  
 
=== Odd harmonics ===
{{Harmonics in equal|90}}
{{Harmonics in equal|90}}
== Interval table ==
== Interval table ==
{{Interval table}}
{{Interval table}}
[[Category:Equal divisions of the octave|##]] <!-- 2-digit number -->
[[Category:Quartismic]]