4190edo: Difference between revisions

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-The '''4190 equal temperament''' divides the octave into 4190 equal parts of 0.2864 cents each. It is notable for being a [[The_Riemann_Zeta_Function_and_Tuning#Zeta EDO lists|zeta gap edo]]. It is fairly strong in the 13-limit and the 4190g val does well if not outstandingly in a number of higher limits.
+{{Infobox ET}}
+{{ED intro}}
-[[Category:Equal divisions of the octave|####]] <!-- 4-digit number -->
+edo is notable for being a [[zeta gap edo]]. It is fairly strong in the [[13-limit]] and the 4190g [[val]] does well if not outstandingly in a number of higher limits. Using this val, some of the simpler commas it [[tempering out|tempers out]] include [[9801/9800]] in the 11-limit; [[10648/10647]] and [[123201/123200]] in the 13-limit; [[4914/4913]], [[5832/5831]], and [[14400/14399]] in the 17-limit; 10830/10829 and 12636/12635 in the 19-limit; 10626/10625 and [[12168/12167]] in the 23-limit.
+=== Prime harmonics ===
+{{Harmonics in equal|4190}}
+=== Subsets and supersets ===
+Since 4190 factors into 2 × 5 × 419, 4190edo has subset edos 2, 5, 10, 419, 838, and 2095.