634edo: Difference between revisions

ArrowHead294 (talk | contribs)
mNo edit summary
m Theory: cleanup
Line 3: Line 3:


== Theory ==
== Theory ==
634edo is a good 13-limit and no-17 higher-limit system. It [[tempers out]] {{monzo| -53 10 16 }} ([[kwazy comma]]) and {{monzo| 33 -34 9 }} (countritonic comma) in the 5-limit; 420175/419904 ([[wizma]]), 703125/702464 ([[meter]]), and 33554432/33480783 ([[garischisma]]) in the 7-limit; [[9801/9800]], [[19712/19683]], [[41503/41472]] in the 11-limit; [[1716/1715]], [[2080/2079]], [[4096/4095]], [[4225/4224]], 14641/14625, and 31250/31213 in the 13-limit.  
634edo is a good 13-limit and no-17 higher-limit system. As an equal temperament, it [[tempering out|tempers out]] {{monzo| -53 10 16 }} ([[kwazy comma]]) and {{monzo| 33 -34 9 }} (countritonic comma) in the 5-limit; 420175/419904 ([[wizma]]), 703125/702464 ([[meter]]), and 33554432/33480783 ([[garischisma]]) in the 7-limit; [[9801/9800]], [[19712/19683]], [[41503/41472]] in the 11-limit; [[1716/1715]], [[2080/2079]], [[4096/4095]], [[4225/4224]], 14641/14625, and 31250/31213 in the 13-limit.  


=== Prime harmonics ===
=== Prime harmonics ===
Line 9: Line 9:


=== Subsets and supersets ===
=== Subsets and supersets ===
Since 634 factors into {{factorization|634}}, 634edo has [[2edo]] and [[317edo]] as its subsets.
Since 634 factors into 2 × 317, 634edo has [[2edo]] and [[317edo]] as its subsets.


== Regular temperament properties ==
== Regular temperament properties ==