57edf: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
'''57EDF''' is the [[EDF|equal division of the just perfect fifth]] into 57 parts of 12.3150 [[cent|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. | '''57EDF''' is the [[EDF|equal division of the just perfect fifth]] into 57 parts of 12.3150 [[cent|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 [[877edo|877]], [[3313edo|3313]], [[4190edo|4190]], [[5067edo|5067]], [[5944edo|5944]], [[6821edo|6821]], [[7698edo|7698]], and [[11011edo|11011]] EDOs. | ||
==Related regular temperaments== | ==Related regular temperaments== | ||
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Mapping: [<1 1 -1|, <0 57 371|] | Mapping: [<1 1 -1|, <0 57 371|] | ||
EDOs: 877, 4190, 5067, 5944, 6821, 7698, 8575 | EDOs: {{EDOs|877, 4190, 5067, 5944, 6821, 7698, 8575}} | ||
===2.3.7.11 subgroup 877&5067=== | ===2.3.7.11 subgroup 877&5067=== | ||
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Mapping: [<1 1 -1 7|, <0 57 371 -345|] | Mapping: [<1 1 -1 7|, <0 57 371 -345|] | ||
EDOs: 877, 3313, 4190, 5067, 5944, 6821, 7698, 11011 | EDOs: {{EDOs|877, 3313, 4190, 5067, 5944, 6821, 7698, 11011}} | ||
===2.3.7.11.13 subgroup 877&5067=== | ===2.3.7.11.13 subgroup 877&5067=== | ||
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Mapping: [<1 1 -1 7 -10|, <0 57 371 -345 1335|] | Mapping: [<1 1 -1 7 -10|, <0 57 371 -345 1335|] | ||
EDOs: 877, 3313, 4190, 5067, 5944, 9257 | EDOs: {{EDOs|877, 3313, 4190, 5067, 5944, 9257}} | ||
[[Category:Edf]] | [[Category:Edf]] | ||
[[Category:Edonoi]] | [[Category:Edonoi]] | ||