587edo: Difference between revisions

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-The ''587 equal division'' divides the octave into 587 equal parts of 2.044 cents each. It tempers out 19683/19600 and 703125/702464 in the 7-limit, providing the [[Optimal_patent_val|optimal patent val]] for the 19&amp;183 temperament and the planar temperament cataharry tempering out 19683/19600.
+{{Infobox ET}}
-[[Category:cataharry]]
+{{ED intro}}
+edo is [[consistent]] to the [[7-odd-limit]], but the error of [[harmonic]] [[3/1|3]] is quite large. With good approximations to harmonics [[5/1|5]], [[7/1|7]], [[9/1|9]], [[11/1|11]], and [[13/1|13]], it commends itself as a 2.9.5.7.11.13 [[subgroup]] tuning.
+Using the [[patent val]], however, the equal temperament [[tempering out|tempers out]] [[19683/19600]] and [[703125/702464]] in the 7-limit, providing the [[optimal patent val]] for the 19 &amp; 183 temperament and the planar temperament [[cataharry]] tempering out 19683/19600.
+=== Odd harmonics ===
+{{Harmonics in equal|587}}
+=== Subsets and supersets ===
+edo is the 107th [[prime edo]].
+[[Category:Cataharry]]