53edf: Difference between revisions
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Created page with "'''53EDF''' is the equal division of the just perfect fifth into 53 parts of 13.2444 cents each, corresponding to 90.6041 edo (similar to every fifth step..." Tags: Mobile edit Mobile web edit |
Cmloegcmluin (talk | contribs) map → mapping |
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POTE generators: ~5/4 = 386.2004, ~3796875/3764768 = 13.2434 | POTE generators: ~5/4 = 386.2004, ~3796875/3764768 = 13.2434 | ||
Mapping: [<1 1 0 0|, <0 53 0 44|, <0 0 1 1|] | |||
EDOs: 90, 91, 181, 453, 544, 634, 725, 997, 1087, 1178 | EDOs: 90, 91, 181, 453, 544, 634, 725, 997, 1087, 1178 | ||
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POTE generator: ~3796875/3764768 = 13.2432 | POTE generator: ~3796875/3764768 = 13.2432 | ||
Mapping: [<1 1 -1 -1|, <0 53 301 345|] | |||
EDOs: 453, 725, 1178, 1631, 2084, 2809 | EDOs: 453, 725, 1178, 1631, 2084, 2809 | ||
Revision as of 19:47, 5 November 2021
53EDF is the equal division of the just perfect fifth into 53 parts of 13.2444 cents each, corresponding to 90.6041 edo (similar to every fifth step of 453edo). It is related to the regular temperament which tempers out |-44 44 53 -53> in the 7-limit, which is supported by 90, 91, 181, 453, 544, 634, 725, 997, 1087, and 1178 EDOs.
Related temperament
7-limit 453&544&634
Comma: |-44 44 53 -53>
POTE generators: ~5/4 = 386.2004, ~3796875/3764768 = 13.2434
Mapping: [<1 1 0 0|, <0 53 0 44|, <0 0 1 1|]
EDOs: 90, 91, 181, 453, 544, 634, 725, 997, 1087, 1178
7-limit 453&1178
Commas: 2460375/2458624, |6 -1 38 -33>
POTE generator: ~3796875/3764768 = 13.2432
Mapping: [<1 1 -1 -1|, <0 53 301 345|]
EDOs: 453, 725, 1178, 1631, 2084, 2809