User:FloraC/Sandbox: Difference between revisions
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=== A 7-limit rank-3 family (80 & 94 & 118) === | === A 7-limit rank-3 family (80 & 94 & 118) === | ||
|4 -14 3 4> = 4802000/4782969 is a 6.9-cent comma which is the difference between a sensamagic and a cataharry, or the sum of a ragisma and a hemimage. It identifies 14/9 by three 81/70's stacked, and 9/5 by four of them stacked. It therefore also features splitting the septimal diesis, 49/48, into three equal parts, making two distinct interseptimal intervals related to the 35th harmonic. | |||
Comma: 4802000/4782969 | Comma: 4802000/4782969 | ||
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Badness: 1.122 × 10<sup>-3</sup> | Badness: 1.122 × 10<sup>-3</sup> | ||
==== 11-limit ==== | |||
Commas: 9801/9800, 14641/14580 | |||
Map: [<2 0 0 -2 1|, <0 1 2 2 2|, <0 0 4 -3 1|] | |||
POTE generators: ~3/2 = 702.3850, ~81/70 = 254.6168 or ~11/9 = 345.3832 | |||
Edos: 14c, 24, 80, 94, 118, 198, 212, 292, 330e, 410 | |||
Badness: 2.197 × 10<sup>-3</sup> | |||
=== A 13-limit rank-3 temperament (87 & 94 & 111) === | === A 13-limit rank-3 temperament (87 & 94 & 111) === | ||