142edo: Difference between revisions

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 {{Infobox ET}}
-'''142edo''' divides the octave into 142 equal parts, each of size 8.45 cents. It tempers out 1728/1715, 3136/3125, 16875/16807, [[32805/32768]], [[176/175]], 540/539 and 1375/1372. It is an excellent tuning for the 7-limit rank three temperament tempering out 1728/1715 and a good one for the 11-limit temperament also tempering out 176/175. It is also excellent for [[semisept]], the 31&amp;111 temperament tempering out 1728/1715 and 3136/3125 and the 53&amp;89 temperament tempering out both 1728/1715 and 32805/32768.
+{{EDO intro|142}}
-[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
+The equal temperament tempers out [[1728/1715]], [[3136/3125]], [[16875/16807]], [[32805/32768]], [[176/175]], [[540/539]] and 1375/1372. It is an excellent tuning for [[orwellismic]], the rank-3 temperament tempering out 1728/1715, and a good one for the 11-limit [[extension]] also tempering out 176/175. It is also excellent for [[semisept]], the 31 &amp; 111 temperament tempering out 1728/1715 and 3136/3125 and the 53 &amp; 89 temperament tempering out both 1728/1715 and 32805/32768.
+=== Prime harmonics ===
+{{Harmonics in equal|142}}
+=== Subsets and supersets ===
+edo has subset edos [[2edo]] and [[71edo]].