4ed5/4: Difference between revisions
Created page with "'''4ED5/4''' is the equal division of the just major third into four parts of 96.5784 cents each, corresponding to 12.4252 edo. It i..." |
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'''4ED5/4''' is the [[Equal-step tuning|equal division]] of the [[5/4|just major third]] into four parts of 96.5784 [[cent|cents]] each, corresponding to 12. | '''4ED5/4''' is the [[Equal-step tuning|equal division]] of the [[5/4|just major third]] into four parts of 96.5784 [[cent|cents]] each, corresponding to 12.4251 [[edo]]. It is related to the temperament which tempers out 48828125/48771072 and 67108864/66976875 in the 7-limit, which is supported by [[87edo]], [[323edo]], [[410edo]], and [[733edo]] among others. | ||
==Intervals== | ==Intervals== | ||
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| | (5/4)<font style="vertical-align:super;font-size:0.8em;">13</font> = 1220703125/67108864 | | | (5/4)<font style="vertical-align:super;font-size:0.8em;">13</font> = 1220703125/67108864 | ||
|} | |} | ||
==Related regular temperament== | |||
===7-limit 87&323=== | |||
Commas: 48828125/48771072, 67108864/66976875 | |||
POTE generator: ~200/189 = 96.591 | |||
Map: [<1 4 2 -5|, <0 -30 4 97|] | |||
EDOs: 87, 323, 410, 733 | |||
Badness: 0.1793 | |||
===11-limit 87&323=== | |||
Commas: 5632/5625, 14641/14580, 131072/130977 | |||
POTE generator: ~200/189 = 96.587 | |||
Map: [<1 4 2 -5 7|, <0 -30 4 97 -44|] | |||
EDOs: 87, 323, 410, 733e | |||
Badness: 0.1001 | |||
===13-limit 87&323=== | |||
Commas: 676/675, 1001/1000, 4096/4095, 14641/14580 | |||
POTE generator: ~143/135 = 96.586 | |||
Map: [<1 4 2 -5 7 7|, <0 -30 4 97 -44 -41|] | |||
EDOs: 87, 323, 410, 733e | |||
Badness: 0.0462 | |||
[[Category:Major third]] | [[Category:Major third]] | ||
[[Category:Equal-step tuning]] | [[Category:Equal-step tuning]] | ||
[[Category:Edonoi]] | [[Category:Edonoi]] | ||