245edo: Difference between revisions

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'''245edo''' is the [[EDO|equal division of the octave]] into 245 parts of 4.897959 [[cent]]s each.  It tempers out 30958682112 / 30517578125 in the 5-limit; 6144/6125 and 16875/16807 in the 7-limit; 441/440, 4000/3993, 6912/6875, 14700/14641, 30375/30184 and 54675/54208 in the 11-limit.
{{Infobox ET}}
{{ED intro}}


[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
== Theory ==
245edo is only [[consistent]] to the [[5-odd-limit]]. The equal temperament [[tempering out|tempers out]] {{monzo| -17 21 -7 }} and {{monzo| 19 10 -15 }} in the 5-limit; [[6144/6125]] and [[16875/16807]] in the 7-limit; [[441/440]], [[4000/3993]], 6912/6875, 14700/14641, 30375/30184 and 54675/54208 in the 11-limit.
 
=== Odd harmonics ===
{{Harmonics in equal|245}}
 
=== Subsets and supersets ===
Since 245 factors into {{factorization|245}}, 245edo has subset edos {{EDOs| 5, 7, 35, and 49 }}.
 
{{todo|expand}}