User:Francium/719edo: Difference between revisions
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== Theory == | == Theory == | ||
719edo is only [[consistent]] to the [[3-odd-limit]] and the error of its [[harmonic]] [[3/1|3]] is quite large. Its harmonics [[5/1|5]] and [[7/1|7]] are also about halfway its steps. | 719edo is only [[consistent]] to the [[3-odd-limit]] and the error of its [[harmonic]] [[3/1|3]] is quite large. Its harmonics [[5/1|5]] and [[7/1|7]] are also about halfway between its steps. Its distinction, however, is that it is the largest EDO to temper out the [[15625/15552|kleisma (15625/15552)]] and therefore [[support]] [[hanson]] in its patent val; it also supports the extension [[marfifths]] that tempers out the hemimage comma, [[10976/10935]] in addition, and in fact is the [[optimal patent val]] for marfifths. For other purposes than tempering out the kleisma, it can be used in the 2.9.15.21.11.17.19.23.29 [[subgroup]], [[temper out|tempering out]] [[1701/1700]], [[3025/3024]], [[2376/2375]], 8625/8624, 21888/21875, 72171/72128, 2001/2000 and 116127/116000. | ||
=== Odd harmonics === | === Odd harmonics === | ||