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Created page with "'''56EDF''' is the equal division of the just perfect fifth into 56 parts of 12.5349 cents each, corresponding to 95.7326 edo. It is related to the regula..." Tags: Mobile edit Mobile web edit |
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'''56EDF''' is the [[EDF|equal division of the just perfect fifth]] into 56 parts of 12.5349 [[cent|cents]] each, corresponding to 95.7326 [[edo]]. It is related to the regular temperament which tempers out 2401/2400 and |91 -80 13 2> in the 7-limit, which is supported by [[383edo]], [[670edo]], and [[1053edo]]. | '''56EDF''' is the [[EDF|equal division of the just perfect fifth]] into 56 parts of 12.5349 [[cent|cents]] each, corresponding to 95.7326 [[edo]]. It is related to the regular temperament which tempers out 2401/2400 and |91 -80 13 2> in the 7-limit, which is supported by [[383edo|383]], [[670edo|670]], and [[1053edo|1053]], 1436, and 1723 EDOs. | ||
==Related temperaments== | ==Related regular temperaments== | ||
===7-limit 383&670=== | ===7-limit 383&670=== | ||
Commas: 2401/2400, |91 -80 13 2> | Commas: 2401/2400, |91 -80 13 2> | ||
Revision as of 09:39, 14 February 2019
56EDF is the equal division of the just perfect fifth into 56 parts of 12.5349 cents each, corresponding to 95.7326 edo. It is related to the regular temperament which tempers out 2401/2400 and |91 -80 13 2> in the 7-limit, which is supported by 383, 670, and 1053, 1436, and 1723 EDOs.
Related regular temperaments
7-limit 383&670
Commas: 2401/2400, |91 -80 13 2>
POTE generator: ~|-33 32 -4 -3> = 12.5357
Map: [<1 1 -1 1|, <0 56 318 173|]
EDOs: 383, 670, 1053, 1436, 1723
11-limit 383&670
Commas: 2401/2400, 14348907/14348180, 26214400/26198073
POTE generator: ~13504609503/13421772800 = 12.5359
Map: [<1 1 -1 1 3|, <0 56 318 173 44|]
EDOs: 383, 670, 1053, 1436, 1723