Quintosec family: Difference between revisions
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EDOs: [[10edo|10]], [[55edo|55]], [[65edo|65]], [[75edo|75]], [[140edo|140]], [[205edo|205]], [[270edo|270]], 335, [[400edo|400]], 530, 605, 875, [[940edo|940]], 1145, 1415 | EDOs: [[10edo|10]], [[55edo|55]], [[65edo|65]], [[75edo|75]], [[140edo|140]], [[205edo|205]], [[270edo|270]], 335, [[400edo|400]], 530, 605, 875, [[940edo|940]], 1145, 1415 | ||
Badness: 0.13919 | |||
=[[Breedsmic_temperaments#Decoid|Decoid]]= | =[[Breedsmic_temperaments#Decoid|Decoid]]= | ||
Revision as of 22:56, 6 December 2018
The qintosec family tempers out the qintosec comma, 140737488355328/140126044921875 = |47 -15 -10>.
Qintosec
Comma: 140737488355328/140126044921875
POTE generator: ~16/15 = 111.105
Map: [<5 1 22|, <0 2 -3|]
EDOs: 10, 55, 65, 75, 140, 205, 270, 335, 400, 530, 605, 875, 940, 1145, 1415
Badness: 0.13919
Decoid
Commas: 2401/2400, 67108864/66976875
POTE generator: ~16/15 = 111.099
Map: [<10 0 47 36|, <0 2 -3 -1|]
EDOs: 10, 130, 140, 270, 400, 410, 530, 550
Badness: 0.0339
11-limit
Commas: 2401/2400, 5632/5625, 9801/9800
POTE generator: ~16/15 = 111.070
Map: [<10 0 47 36 98|, <0 2 -3 -1 -8|]
EDOs: 10e, 130, 140, 270, 400, 410, 530e
Badness: 0.0187
13-limit
Commas: 676/675, 1001/1000, 1716/1715, 4096/4095
POTE generator: ~16/15 = 111.083
Map: [<10 0 47 36 98 37|, <0 2 -3 -1 -8 0|]
EDOs: 10e, 130, 140, 270, 400, 410, 530e
Badness: 0.0135