1308edo: Difference between revisions
Cleanup; links; expansion |
Rework on theory; adopt template: Factorization |
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{{EDO intro|1308}} | {{EDO intro|1308}} | ||
1308edo is [[consistent]] to the [[21-odd-limit]] | 1308edo is [[consistency|distinctly consistent]] to the [[21-odd-limit]], and is the 15th [[zeta gap edo]]. With [[23/17]] barely missing the line, it has reasonable approximations up to the 37-limit. | ||
The equal temperament [[tempering out|tempers out]] {{monzo| 37 25 -33 }} (whoosh comma) and {{monzo| -46 51 -15 }} (171 & 1137 comma) in the 5-limit; [[250047/250000]], [[2460375/2458624]], and {{monzo| 47 4 0 -19 }} in the 7-limit; [[9801/9800]], 151263/151250, 234375/234256, and 67110351/67108864 in the 11-limit; [[4225/4224]], [[6656/6655]], 50193/50176, 91125/91091, and 655473/655360 in the 13-limit; [[2601/2600]], [[5832/5831]], [[11016/11011]], 11271/11264, [[12376/12375]], and 108086/108045 in the 17-limit; 5491/5488, 5776/5775, 5985/5984, 6175/6174, 10241/10240, and 10830/10829 in the 19-limit. | |||
=== Prime harmonics === | === Prime harmonics === | ||
{{Harmonics in equal|1308}} | {{Harmonics in equal|1308|columns=12}} | ||
=== Subsets and supersets === | === Subsets and supersets === | ||
Since 1308 factors into | Since 1308 factors into {{factorization|1308}}, 1308edo has subset edos 2, 3, 4, 6, 12, 109, 218, 327, 436, and 654. | ||