163edo: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
'''163edo''' is the [[EDO|equal division of the octave]] into 163 parts of 7.3620 cents each. It 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.
{{EDO intro|163}}
==Theory==
It 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 is the 38th [[prime EDO]].
163edo is the 38th [[prime EDO]].
===Odd harmonics===
{{harmonics in equal|163}}


[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
[[Category:Prime EDO]]
[[Category:Prime EDO]]