163edo: Difference between revisions

m Fix unclear pronoun; sectioning
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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|163}}
{{EDO intro|163}}
== Theory ==
 
163edo tempers out 15625/15552 (kleisma) and 22876792454961/21990232555520 in the 5-limit. Using the patent val, it tempers out 1728/1715, 3125/3087, and 413343/409600 in the 7-limit; 2187/2156, 2420/2401, 2835/2816 and 4375/4356 in the 11-limit; 351/350, 640/637, 975/968, 1188/1183, and 1573/1568 in the 13-limit.
163edo [[tempering out|tempers out]] 15625/15552 ([[15625/15552|kleisma]]) and {{monzo| -42 28 -1 }} in the 5-limit. Using the [[patent val]], it tempers out [[1728/1715]], [[3125/3087]], and 413343/409600 in the 7-limit; 2187/2156, 2420/2401, 2835/2816 and 4375/4356 in the 11-limit; [[351/350]], [[640/637]], 975/968, [[1188/1183]], and [[1573/1568]] in the 13-limit.


=== Odd harmonics ===
=== Odd harmonics ===
{{Harmonics in equal|163}}
{{Harmonics in equal|163}}


=== Miscellany ===
=== Subsets and supersets ===
163edo is the 38th [[prime edo]].
163edo is the 38th [[prime edo]].
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
[[Category:Prime EDO]]