142edo: Difference between revisions

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-''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.
+{{Infobox ET}}
+{{ED intro}}
+The equal temperament [[tempering out|tempers out]] 32805/32768 ([[schisma]]) in the 5-limit; [[1728/1715]], [[3136/3125]], and [[16875/16807]] in the 7-limit; [[176/175]], [[540/539]] and 1375/1372 in the 11-limit. It is an excellent tuning for [[orwellismic]], the rank-3 temperament tempering out 1728/1715, and a good one for [[guanyin]], 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]].