Quintosec family: Difference between revisions

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Line 4: Line 4:
Comma: 140737488355328/140126044921875
Comma: 140737488355328/140126044921875


POTE generator: ~3/2 = 702.2102
POTE generator: ~16/15 = 111.105


Map: [<5 1 22|, <0 2 -3|]
Map: [<5 1 22|, <0 2 -3|]
Line 10: Line 10:
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


=Decoid=
=[[Breedsmic_temperaments#Decoid|Decoid]]=
Commas: 2401/2400, 67108864/66976875
Commas: 2401/2400, 67108864/66976875
POTE generator: ~16/15 = 111.099


Map: [<10 0 47 36|, <0 2 -3 -1|]
Map: [<10 0 47 36|, <0 2 -3 -1|]
Line 21: Line 23:
==11-limit==
==11-limit==
Commas: 2401/2400, 5632/5625, 9801/9800
Commas: 2401/2400, 5632/5625, 9801/9800
POTE generator: ~16/15 = 111.070


Map: [<10 0 47 36 98|, <0 2 -3 -1 -8|]
Map: [<10 0 47 36 98|, <0 2 -3 -1 -8|]
Line 30: Line 34:
==13-limit==
==13-limit==
Commas: 676/675, 1001/1000, 1716/1715, 4096/4095
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|]
Map: [<10 0 47 36 98 37|, <0 2 -3 -1 -8 0|]

Revision as of 03:27, 18 November 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

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