587edo: Difference between revisions
Adopt template: EDO intro; +prime error table; +subsets and supersets; -redundant categories |
m Sorting the subgroup |
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{{EDO intro|587}} | {{EDO intro|587}} | ||
587edo 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 2.5.7 | 587edo 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 & 183 temperament and the planar temperament [[cataharry]] tempering out 19683/19600. | 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 & 183 temperament and the planar temperament [[cataharry]] tempering out 19683/19600. | ||