616edo: Difference between revisions

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-'''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. It provides an excellent tuning for 2.5/3.7/3.11 subgroup, approximating [[6/5]], [[7/6]], [[7/5]], and [[11/8]] within 0.057 cents.
+{{Infobox ET}}
+{{ED intro}}
-[[Category:Equal divisions of the octave]]
+edo is [[consistent]] to the [[7-odd-limit]], but it tends heavily flat in the first few [[harmonic]]s. 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. Alternatively, the 2.9.15.21.11 [[subgroup]] may be worth considering. Finally, 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{{c}}.
+=== Odd harmonics ===
+{{Harmonics in equal|616}}
+=== Subsets and supersets ===
+Since 616 factors into {{factorization|616}}, 616edo has subset edos {{EDOs| 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308 }}.