43edf: Difference between revisions
Created page with "'''43EDF''' is the equal division of the just perfect fifth into 43 parts of 16.3245 cents each, corresponding to 73.5090 edo (similar to every second ste..." Tags: Mobile edit Mobile web edit |
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POTE generators: ~5/4 = 386.3143, ~|-22 22 -14 7> = 16.3245 | POTE generators: ~5/4 = 386.3143, ~|-22 22 -14 7> = 16.3245 | ||
Mapping: [<1 1 0 0|, <0 43 0 -135|, <0 0 1 2|] | |||
EDOs: 441, 3749, 4190, 4631, 5072, 5513, 6763, 7204, 11394, 11835, 12276, 12717, 16466, 23229, 24111 | EDOs: 441, 3749, 4190, 4631, 5072, 5513, 6763, 7204, 11394, 11835, 12276, 12717, 16466, 23229, 24111 | ||
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POTE generators: ~5/4 = 386.3178, ~|-22 22 -14 7> = 16.3245 | POTE generators: ~5/4 = 386.3178, ~|-22 22 -14 7> = 16.3245 | ||
Mapping: [<1 1 0 0 -2|, <0 43 0 -135 572|, <0 0 1 2 -1|] | |||
EDOs: 441, 3455, 3749, 3896, 4190, 4631, 7645, 8086, 8821, 11835, 12276, 16466, 16907, 24111, 28742 | EDOs: 441, 3455, 3749, 3896, 4190, 4631, 7645, 8086, 8821, 11835, 12276, 16466, 16907, 24111, 28742 | ||
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POTE generators: ~5/4 = 386.3240, ~|-22 22 -14 7> = 16.3246 | POTE generators: ~5/4 = 386.3240, ~|-22 22 -14 7> = 16.3246 | ||
Mapping: [<1 1 0 0 -2 2|, <0 43 0 -135 572 125|, <0 0 1 2 -1 0|] | |||
EDOs: 441, 3455, 3749, 3896, 4190, 4631, 7645, 8086, 8821, 12276 | EDOs: 441, 3455, 3749, 3896, 4190, 4631, 7645, 8086, 8821, 12276 | ||
Revision as of 19:46, 5 November 2021
43EDF is the equal division of the just perfect fifth into 43 parts of 16.3245 cents each, corresponding to 73.5090 edo (similar to every second step of 147edo). It is related to the microtemperament which tempers out |-135 135 -86 43> (0.45970 cents) in the 7-limit, which is supported by 441, 4190, 4631, 5072, 7204, 11394, 11835, 12276, and 16466 EDOs.
Related temperament
7-limit 441&4631&12276
Comma: |-135 135 -86 43>
POTE generators: ~5/4 = 386.3143, ~|-22 22 -14 7> = 16.3245
Mapping: [<1 1 0 0|, <0 43 0 -135|, <0 0 1 2|]
EDOs: 441, 3749, 4190, 4631, 5072, 5513, 6763, 7204, 11394, 11835, 12276, 12717, 16466, 23229, 24111
11-limit 441&4631&12276
Commas: |-31 29 -11 5 -1>, |20 -10 -31 18 5>
POTE generators: ~5/4 = 386.3178, ~|-22 22 -14 7> = 16.3245
Mapping: [<1 1 0 0 -2|, <0 43 0 -135 572|, <0 0 1 2 -1|]
EDOs: 441, 3455, 3749, 3896, 4190, 4631, 7645, 8086, 8821, 11835, 12276, 16466, 16907, 24111, 28742
13-limit 441&4631&12276
Commas: 33792000/33787663, 703096443/703040000, 33319272448/33317578125
POTE generators: ~5/4 = 386.3240, ~|-22 22 -14 7> = 16.3246
Mapping: [<1 1 0 0 -2 2|, <0 43 0 -135 572 125|, <0 0 1 2 -1 0|]
EDOs: 441, 3455, 3749, 3896, 4190, 4631, 7645, 8086, 8821, 12276