57edf: Difference between revisions
Created page with "'''57EDF''' is the equal division of the just perfect fifth into 57 parts of 12.3150 cents each, corresponding to 97.4421 edo. It is related to the regula..." Tags: Mobile edit Mobile web edit |
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POTE generator: ~1605632/1594323 = 12.3149 | POTE generator: ~1605632/1594323 = 12.3149 | ||
Mapping: [<1 1 -1|, <0 57 371|] | |||
EDOs: 877, 4190, 5067, 5944, 6821, 7698, 8575 | EDOs: 877, 4190, 5067, 5944, 6821, 7698, 8575 | ||
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POTE generator: ~1605632/1594323 = 12.3150 | POTE generator: ~1605632/1594323 = 12.3150 | ||
Mapping: [<1 1 -1 7|, <0 57 371 -345|] | |||
EDOs: 877, 3313, 4190, 5067, 5944, 6821, 7698, 11011 | EDOs: 877, 3313, 4190, 5067, 5944, 6821, 7698, 11011 | ||
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POTE generator: ~1605632/1594323 = 12.3150 | POTE generator: ~1605632/1594323 = 12.3150 | ||
Mapping: [<1 1 -1 7 -10|, <0 57 371 -345 1335|] | |||
EDOs: 877, 3313, 4190, 5067, 5944, 9257 | EDOs: 877, 3313, 4190, 5067, 5944, 9257 | ||
Revision as of 19:49, 5 November 2021
57EDF is the equal division of the just perfect fifth into 57 parts of 12.3150 cents each, corresponding to 97.4421 edo. It is related to the regular temperament which tempers out |-32 33 0 -6 -1> and |76 -8 0 -9 -11> in the 11-limit, which is supported by 877, 3313, 4190, 5067, 5944, 6821, 7698, and 11011 EDOs.
Related regular temperaments
2.3.7 subgroup 877&5067
Commas: |-428 371 0 -57>
POTE generator: ~1605632/1594323 = 12.3149
Mapping: [<1 1 -1|, <0 57 371|]
EDOs: 877, 4190, 5067, 5944, 6821, 7698, 8575
2.3.7.11 subgroup 877&5067
Commas: |-32 33 0 -6 -1>, |76 -8 0 -9 -11>
POTE generator: ~1605632/1594323 = 12.3150
Mapping: [<1 1 -1 7|, <0 57 371 -345|]
EDOs: 877, 3313, 4190, 5067, 5944, 6821, 7698, 11011
2.3.7.11.13 subgroup 877&5067
Commas: 257330216/257298363, 53722307808/53710650917, 1786706395136/1786568061663
POTE generator: ~1605632/1594323 = 12.3150
Mapping: [<1 1 -1 7 -10|, <0 57 371 -345 1335|]
EDOs: 877, 3313, 4190, 5067, 5944, 9257