1131edo: Difference between revisions
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1131edo is in[[consistent]] to the [[5-odd-limit]] and [[harmonic]] [[3/1|3]] is about halfway between its steps. Otherwise, it has good approximations to harmonics [[5/1|5]], [[7/1|7]], [[9/1|9]], [[13/1|13]], making it suitable for a 2.9.5.7.13 [[subgroup]] interpretation. | 1131edo is in[[consistent]] to the [[5-odd-limit]] and [[harmonic]] [[3/1|3]] is about halfway between its steps. Otherwise, it has good approximations to harmonics [[5/1|5]], [[7/1|7]], [[9/1|9]], [[13/1|13]], making it suitable for a 2.9.5.7.13 [[subgroup]] interpretation. | ||
Meanwhile using the [[patent val]], the equal temperament [[Tempering out|tempers out]] 1600000/1594323 ([[amity comma]]) in the [[5-limit]], 2401/2400 ([[breedsma]]) and 4802000/4782969 ([[canousma]]) in the [[7-limit]], [[3025/3024]], [[41503/41472]], and 151262/151250 in the [[11-limit]]. It provides the [[optimal patent val]] for [[amicable]] temperament, the rank-2 temperament that tempers out 2401/2400 and 1600000/1594323, and for [[ | Meanwhile using the [[patent val]], the equal temperament [[Tempering out|tempers out]] 1600000/1594323 ([[amity comma]]) in the [[5-limit]], 2401/2400 ([[breedsma]]) and 4802000/4782969 ([[canousma]]) in the [[7-limit]], [[3025/3024]], [[41503/41472]], and 151262/151250 in the [[11-limit]]. It provides the [[optimal patent val]] for [[amicable]] temperament, the rank-2 temperament that tempers out 2401/2400 and 1600000/1594323, and for [[cathartic]], the rank-3 temperament that tempers out 4802000/4782969. | ||
=== Odd harmonics === | === Odd harmonics === | ||
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[[Category:Amicable]] | [[Category:Amicable]] | ||
[[Category: | [[Category:Cathartic]] | ||