49edo: Difference between revisions
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<b>49-EDO</b>, or <b>49 equal division</b> divides the octave into 49 equal parts of 24.490 [[cent|cent]]s each. It is very much on the sharp side of things, with sharp tunings of 3 (it is the first square equal division with a "real" 3 of size coprime to its cardinality), 5, 7, and 11. It is the [[Optimal_patent_val|optimal patent val]] for [[Superpyth|superpyth temperament]] in the 7 and 11 limits, archytas ([[7-limit|7-limit]]) and [[Archytas_clan|ares]] ([[11-limit|11-limit]]) planar temperaments and almost identical to the e-based analog of [[LucyTuning|LucyTuning]]. It [[tempering_out|tempers out]] 64/63, 245/243 and 3125/3087 in the 7-limit, and 100/99 and 1375/1372 in the 11-limit. | |||
[[Category:edo]] | [[Category:edo]] | ||
[[Category:superpyth]] | [[Category:superpyth]] | ||
Revision as of 05:25, 1 January 2019
49-EDO, or 49 equal division divides the octave into 49 equal parts of 24.490 cents each. It is very much on the sharp side of things, with sharp tunings of 3 (it is the first square equal division with a "real" 3 of size coprime to its cardinality), 5, 7, and 11. It is the optimal patent val for superpyth temperament in the 7 and 11 limits, archytas (7-limit) and ares (11-limit) planar temperaments and almost identical to the e-based analog of LucyTuning. It tempers out 64/63, 245/243 and 3125/3087 in the 7-limit, and 100/99 and 1375/1372 in the 11-limit.