343edo: Difference between revisions
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343edo is only [[consistent]] to the [[3-odd-limit]] since its errors of [[harmonic]]s [[3/1|3]] and [[5/1|5]] are quite large. To start with, consider the 2.9.15.7 [[subgroup]], where it [[tempering out|tempers out]] 5250987/5242880. In the 2.5.7 subgroup it tempers out 2100875/2097152 and in the 2.3.7 subgroup it tempers out 118098/117649. | 343edo is only [[consistent]] to the [[3-odd-limit]] since its errors of [[harmonic]]s [[3/1|3]] and [[5/1|5]] are quite large. To start with, consider the 2.9.15.7 [[subgroup]], where it [[tempering out|tempers out]] 5250987/5242880. In the 2.5.7 subgroup it tempers out 2100875/2097152 and in the 2.3.7 subgroup it tempers out 118098/117649. | ||
For the full 7-limit, the 343c [[val]] tempers out [[4375/4374]] and [[5120/5103]], [[support]]ing [[amity]] (gen.97\343, per. 343\343). The 343cdd val tempers out [[16875/16807]] and 65536/64827. The [[patent val]] tempers out [[10976/10935]] and 390625/387072. | For the full 7-limit, the 343c [[val]] tempers out [[4375/4374]] and [[5120/5103]], [[support]]ing [[amity]] (gen. 97\343, per. 343\343). The 343cdd val tempers out [[16875/16807]] and 65536/64827. The [[patent val]] tempers out [[10976/10935]] and 390625/387072. | ||
=== Odd harmonics === | === Odd harmonics === | ||