117edo: Difference between revisions

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Using the 117bd val, it tempers out 15625/15552 ([[15625/15552|kleisma]]) and {{monzo| 34 -17 -3 }} in the 5-limit; [[245/243]], [[3136/3125]], and 51200/50421 in the 7-limit; 176/175, 1232/1215, [[1375/1372]], and 2560/2541 in the 11-limit; [[169/168]], [[364/363]], 640/637, [[832/825]], and 3200/3159 in the 13-limit.  
Using the 117bd val, it tempers out 15625/15552 ([[15625/15552|kleisma]]) and {{monzo| 34 -17 -3 }} in the 5-limit; [[245/243]], [[3136/3125]], and 51200/50421 in the 7-limit; 176/175, 1232/1215, [[1375/1372]], and 2560/2541 in the 11-limit; [[169/168]], [[364/363]], 640/637, [[832/825]], and 3200/3159 in the 13-limit.  


=== Odd harmonics ===
== Odd harmonics ==
{{Harmonics in equal|117}}
{{Harmonics in equal|117}}


=== Subsets and supersets ===
== Subsets and supersets ==
Since 117 factors into {{factorization|117}}, 117edo has subset edos {{EDOs| 3, 9, 13, and 39 }}. [[234edo]], which doubles it, provides a correction for the approximation to harmonic 3.
Since 117 factors into {{factorization|117}}, 117edo has subset edos {{EDOs| 3, 9, 13, and 39 }}. [[234edo]], which doubles it, provides a correction for the approximation to harmonic 3.
== Intervals ==
{{Interval table}}