1793edo: Difference between revisions

Rework theory; adopt template: Factorization
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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|1793}}
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1793edo is only [[consistent]] to the [[5-odd-limit]] since [[harmonic]] [[7/1|7]] is about halfway between its steps. Nonetheless, it is a good 2.3.5.11.13.17 [[subgroup]] system, in which it has a [[comma basis]] [[4225/4224]], [[6656/6655]], 42500/42471, 4787200/4782969, 703125/702559. Higher prime harmonics it supports to <25% error are 23, 31, 41, 53, 61.  
1793edo is only [[consistent]] to the [[5-odd-limit]] since [[harmonic]] [[7/1|7]] is about halfway between its steps. Nonetheless, it is a good 2.3.5.11.13.17 [[subgroup]] system, in which it has a [[comma basis]] [[4225/4224]], [[6656/6655]], 42500/42471, 4787200/4782969, 703125/702559. Higher prime harmonics it supports to <25% error are 23, 31, 41, 53, 61.