453edo: Difference between revisions

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'''453EDO''' is the [[EDO|equal division of the octave]] into 453 parts of 2.64901 [[cent]]s each. It tempers out 1224440064/1220703125 (parakleisma) and |54 -37 2> (monzisma) in the 5-limit; 250047/250000, 589824/588245, and 2460375/2458624 in the 7-limit; 3025/3024, 5632/5625, 24057/24010, and 102487/102400 in the 11-limit; 676/675, 1001/1000, 4096/4095, 6656/6655, and 16848/16807 in the 13-limit, so that it supports the [[Very high accuracy temperaments|monzismic temperament]].

[[~~Category:Edo~~]]

The equal temperament [[tempering out|tempers out]] {{monzo| 8 14 -13 }} ([[parakleisma]]) and {{monzo| 54 -37 2 }} ([[monzisma]]) in the 5-limit; [[250047/250000]], 589824/588245, and 2460375/2458624 in the 7-limit; [[3025/3024]], [[5632/5625]], 24057/24010, and 102487/102400 in the 11-limit; [[676/675]], [[1001/1000]], [[4096/4095]], [[6656/6655]], and 16848/16807 in the 13-limit, so that it [[support]]s the [[monzismic]] temperament.

=== Prime harmonics ===

=== Subsets and supersets ===

Since 453 factors into {{factorization|453}}, 453edo contains [[3edo]] and [[151edo]] as subsets.

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-'''453EDO''' is the [[EDO|equal division of the octave]] into 453 parts of 2.64901 [[cent]]s each. It tempers out 1224440064/1220703125 (parakleisma) and |54 -37 2&gt; (monzisma) in the 5-limit; 250047/250000, 589824/588245, and 2460375/2458624 in the 7-limit; 3025/3024, 5632/5625, 24057/24010, and 102487/102400 in the 11-limit; 676/675, 1001/1000, 4096/4095, 6656/6655, and 16848/16807 in the 13-limit, so that it supports the [[Very high accuracy temperaments|monzismic temperament]].
+{{Infobox ET}}
+{{ED intro}}
-[[Category:Edo]]
+The equal temperament [[tempering out|tempers out]] {{monzo| 8 14 -13 }} ([[parakleisma]]) and {{monzo| 54 -37 2 }} ([[monzisma]]) in the 5-limit; [[250047/250000]], 589824/588245, and 2460375/2458624 in the 7-limit; [[3025/3024]], [[5632/5625]], 24057/24010, and 102487/102400 in the 11-limit; [[676/675]], [[1001/1000]], [[4096/4095]], [[6656/6655]], and 16848/16807 in the 13-limit, so that it [[support]]s the [[monzismic]] temperament.
+=== Prime harmonics ===
+{{Harmonics in equal|453}}
+=== Subsets and supersets ===
+Since 453 factors into {{factorization|453}}, 453edo contains [[3edo]] and [[151edo]] as subsets.