616edo: Difference between revisions

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 {{Infobox ET}}
-'''616edo''' is the [[EDO|equal division of the octave]] into 616 parts of 1.948052 [[cent]]s each. It tempers out 2401/2400, 48828125/48771072, and 129140163/128450560 in the 7-limit; 9801/9800, 46656/46585, 117649/117612, and 1265625/1261568 in the 11-limit. As every third step of [[1848edo]], it provides an excellent tuning for the [[K*N subgroups|3*616]] 2.5/3.7/3.11 subgroup, approximating [[6/5]], [[7/6]], [[7/5]], and [[11/8]] within 0.057 cents.
+{{EDO intro|616}}
-[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
+The equal temperament [[tempering out|tempers out]] [[2401/2400]], 48828125/48771072, and 129140163/128450560 in the 7-limit; [[9801/9800]], 46656/46585, 117649/117612, and 1265625/1261568 in the 11-limit. As every third step of [[1848edo]], it provides an excellent tuning for the [[K*N subgroups|3*616]] 2.5/3.7/3.11 [[subgroup]], approximating [[6/5]], [[7/6]], [[7/5]], and [[11/8]] within 0.057 cents.
+=== Odd harmonics ===
+{{Harmonics in equal|616}}
+=== Subsets and supersets ===
+Since 616 factors into 2<sup>3</sup> × 7 × 11, 616edo has subset edos {{EDOs| 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308 }}.