Quintosec family: Difference between revisions

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Qintosec: Added the badness
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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
Badness: 0.1392
 
==7-limit==
Commas: 225/224, 2560000/2470629
 
POTE generator: ~16/15 = 111.553
 
Map: [<5 1 22 21|, <0 2 -3 -2|]
 
EDOs: 10, 55d, 65d, 75, 140d
 
Badness: 0.1568


=[[Breedsmic_temperaments#Decoid|Decoid]]=
=[[Breedsmic_temperaments#Decoid|Decoid]]=

Revision as of 11:42, 23 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: 0.1392

7-limit

Commas: 225/224, 2560000/2470629

POTE generator: ~16/15 = 111.553

Map: [<5 1 22 21|, <0 2 -3 -2|]

EDOs: 10, 55d, 65d, 75, 140d

Badness: 0.1568

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