User:FloraC/Sandbox: Difference between revisions
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== Proposed temperaments == | == Proposed temperaments == | ||
Ideas welcome! | |||
=== A 7-limit rank-3 family (80 & 94 & 118) === | === A 7-limit rank-3 family (80 & 94 & 118) === | ||
Comma: 4802000/4782969 | Comma: 4802000/4782969 | ||
Map: [<1 0 0 -1|, <0 1 2 2|, <0 0 -4 3|] | |||
Wedgie: <<<4 -3 -14 -4 ||| | |||
POTE generators: ~3/2 = 702.373, ~81/70 = 254.625 | |||
EDOs: 19, 75, 80, 94, 99, 212, 292, 311, 410, 1131, 1541b | |||
Badness: 1.122 × 10<sup>-3</sup> | |||
=== A 13-limit rank-3 temperament (87 & 94 & 111) === | === A 13-limit rank-3 temperament (87 & 94 & 111) === | ||
Commas: 352/351, 847/845, 14641/14580 | |||
Map: [<1 0 2 12 1 6|, <0 1 2 -4 2 -1|, <0 0 4 4 1 1|] | |||
EDOs: 7, 17c, 24d, 87, 111, 181, 198 | |||
Badness: 0.0540 × 10<sup>-3</sup> | |||
=== A 13-limit rank-4 temperament (41 & 46 & 53 & 58) === | === A 13-limit rank-4 temperament (41 & 46 & 53 & 58) === | ||
Commas: 352/351, 847/845 | |||
Map: [<1 0 0 10 0 5|, <0 1 0 -6 0 -3|, <0 0 1 1 0 0|, <0 0 0 0 1 1|] | |||
Wedgie: <<<<0 1 1 1 1 0 6 6 -3 -3 10 10 -5 -5 0|||| | |||
POTE generators: ~3/2 = 702.9075, ~5/4 = 387.0723, ~11/8 = 551.4538 | |||
EDOs: 12f, 17c, 29, 41, 46, 53, 58, 87, 111, 140, 198 | |||
Badness: 2.550 × 10<sup>-6</sup> | |||
Revision as of 06:54, 14 September 2020
Proposed temperaments
Ideas welcome!
A 7-limit rank-3 family (80 & 94 & 118)
Comma: 4802000/4782969
Map: [<1 0 0 -1|, <0 1 2 2|, <0 0 -4 3|]
Wedgie: <<<4 -3 -14 -4 |||
POTE generators: ~3/2 = 702.373, ~81/70 = 254.625
EDOs: 19, 75, 80, 94, 99, 212, 292, 311, 410, 1131, 1541b
Badness: 1.122 × 10-3
A 13-limit rank-3 temperament (87 & 94 & 111)
Commas: 352/351, 847/845, 14641/14580
Map: [<1 0 2 12 1 6|, <0 1 2 -4 2 -1|, <0 0 4 4 1 1|]
EDOs: 7, 17c, 24d, 87, 111, 181, 198
Badness: 0.0540 × 10-3
A 13-limit rank-4 temperament (41 & 46 & 53 & 58)
Commas: 352/351, 847/845
Map: [<1 0 0 10 0 5|, <0 1 0 -6 0 -3|, <0 0 1 1 0 0|, <0 0 0 0 1 1|]
Wedgie: <<<<0 1 1 1 1 0 6 6 -3 -3 10 10 -5 -5 0||||
POTE generators: ~3/2 = 702.9075, ~5/4 = 387.0723, ~11/8 = 551.4538
EDOs: 12f, 17c, 29, 41, 46, 53, 58, 87, 111, 140, 198
Badness: 2.550 × 10-6