85edo: Difference between revisions

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 == Theory ==
+= 5 × 17, and 85edo shares the same 3.9-cent-sharp fifth as [[17edo|17]], [[34edo|34]], and [[68edo|68]]. The [[patent val]] [[tempering out|tempers out]] [[3125/3072]] in the [[5-limit]] and [[225/224]], [[245/243]], and [[875/864]] in the [[7-limit]], so that it [[support]]s [[magic]]. It tempers out [[100/99]] and [[385/384]] in the [[11-limit]], supporting 11-limit magic, and [[847/845]], [[1188/1183]], and [[1575/1573]] in the 13-limit. It provides the [[optimal patent val]] for the 13-limit 36ce & 49f temperament tempering out 100/99, 540/539, 847/845 and 1575/1573.
+=== Odd harmonics ===
 {{Harmonics in equal|85}}
-= 5 * 17, and it shares the same 3.9 cent sharp fifth as 17, 34, and 68. The patent val tempers out 3125/3072 in the 5-limit and 875/864, 245/243 and 225/224 in the 7-limit, so that it [[support]]s magic. It tempers out 100/99 and 245/243 in the 11-limit, supporting 11-limit magic, and 1188/1183, 847/845 and 1575/1573 in the 13-limit. It provides the optimal patent val for the 13-limit temperament tempering out 100/99, 540/539, 847/845 and 1575/1573.
-[[Category:Equal divisions of the octave|##]] <!-- 2-digit number -->
+=== Subsets and supersets ===
+edo contains [[5edo]] and [[17edo]] as subsets. [[255edo]], which triples it, is a notable tuning.
 == Interval table ==
 {{Interval table}}