Escapade family: Difference between revisions
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EDOs: [[21edo|21]], [[22edo|22]], [[43edo|43]], [[65edo|65]], 152, 217, 586, 803 | EDOs: [[21edo|21]], [[22edo|22]], [[43edo|43]], [[65edo|65]], 152, 217, 586, 803 | ||
Badness: 0.0838 | |||
==7-limit== | ==7-limit== | ||
| Line 19: | Line 21: | ||
Wedgie: <<9 -7 4 -32 -19 29|| | Wedgie: <<9 -7 4 -32 -19 29|| | ||
EDOs: 21, 22, 43, | EDOs: 21, 22, 43, 65d | ||
Badness: 0.0779 | |||
==11-limit== | ==11-limit== | ||
| Line 28: | Line 32: | ||
Map: [<1 2 2 3 3|, <0 -9 7 -4 10|] | Map: [<1 2 2 3 3|, <0 -9 7 -4 10|] | ||
EDOs: 21, 22, 43, | EDOs: 21, 22, 43, 65d | ||
Badness: 0.0367 | |||
==13-limit== | |||
Commas: 78/77, 99/98, 176/175, 507/500 | |||
POTE generator: ~26/25 = 55.550 | |||
Map: [<1 2 2 3 3 3|, <0 -9 7 -4 10 15|] | |||
EDOs: 21, 22, 43 | |||
Badness: 0.0353 | |||
=Escaped= | =Escaped= | ||
Commas: 245/243, 65625/65536 | Commas: 245/243, 65625/65536 | ||
[[POTE_tuning|POTE generator]]: 55.122 | [[POTE_tuning|POTE generator]]: ~28/27 = 55.122 | ||
Map: [<1 2 2 4|, <0 -9 7 -26|] | Map: [<1 2 2 4|, <0 -9 7 -26|] | ||
| Line 40: | Line 57: | ||
EDOs: 22, 65, [[87edo|87]], 196, 283 | EDOs: 22, 65, [[87edo|87]], 196, 283 | ||
Badness: 0.0887 | |||
==11-limit== | ==11-limit== | ||
Commas: 245/243, 385/384, | Commas: 245/243, 385/384, 3388/3375 | ||
POTE generator: 55.126 | POTE generator: ~28/27 = 55.126 | ||
Map: [<1 2 2 4 3|, <0 -9 7 -26 10|] | Map: [<1 2 2 4 3|, <0 -9 7 -26 10|] | ||
EDOs: 22, 65, 87, 196, 283 | EDOs: 22, 65, 87, 196, 283 | ||
Badness: 0.0358 | |||
==13-limit== | |||
Commas: 245/243, 352/351, 364/363, 625/624 | |||
POTE generator: ~28/27 = 55.138 | |||
Map: [<1 2 2 4 3 2|, <0 -9 7 -26 10 37|] | |||
EDOs: 22, 65, 87 | |||
Badness: 0.0314 | |||
=Biscapade= | =Biscapade= | ||
Commas: 6144/6125, 118098/117649 | Commas: 6144/6125, 118098/117649 | ||
[[POTE_tuning|POTE generator]]: 55.230 | [[POTE_tuning|POTE generator]]: ~16875/16384 = 55.230 | ||
Map: [<2 4 4 7|, <0 -9 7 -15|] | Map: [<2 4 4 7|, <0 -9 7 -15|] | ||
| Line 60: | Line 92: | ||
EDOs: 22, [[86edo|86]], 108, 130, 152, 282 | EDOs: 22, [[86edo|86]], 108, 130, 152, 282 | ||
Badness: | |||
==11-limit== | ==11-limit== | ||
Commas: 540/539, 4000/3993, 5632/5625 | Commas: 540/539, 4000/3993, 5632/5625 | ||
POTE generator: 55.304 | POTE generator: ~33/32 = 55.304 | ||
Map: [<2 4 4 7 6|, <0 -9 7 -15 10|] | Map: [<2 4 4 7 6|, <0 -9 7 -15 10|] | ||
EDOs: 22, 86, 108, 130, 152, 282 | EDOs: 22, 86, 108, 130, 152, 282 | ||
Badness: | |||
==13-limit== | ==13-limit== | ||
Commas: 351/350, 364/363, 540/539, 4096/4095 | Commas: 351/350, 364/363, 540/539, 4096/4095 | ||
POTE generator: 55.359 | POTE generator: ~33/32 =55.359 | ||
Map: [<2 4 4 7 6 5|, <0 -9 7 -15 10 26|] | Map: [<2 4 4 7 6 5|, <0 -9 7 -15 10 26|] | ||
EDOs: 22, 108, 130 | EDOs: 22, 108, 130 | ||
Badness: | |||
[[Category:escapade]] | [[Category:escapade]] | ||
Revision as of 04:35, 5 June 2019
The escapade family tempers out the escapade comma, |32 -7 -9>, of size 9.492 cents. It includes the alphaquarter temperament and the arch temperament.
Escapade
Comma: 4294967296/4271484375
POTE generator: ~16875/16384 = 55.293
Map: [<1 2 2|, <0 -9 7|]
EDOs: 21, 22, 43, 65, 152, 217, 586, 803
Badness: 0.0838
7-limit
Commas: 225/224, 12288/12005
POTE generator: ~49/48 = 55.327
Map: [<1 2 2 3|, <0 -9 7 -4|]
Wedgie: <<9 -7 4 -32 -19 29||
EDOs: 21, 22, 43, 65d
Badness: 0.0779
11-limit
Commas: 99/98, 176/175, 2560/2541
POTE generator: ~49/48 = 55.354
Map: [<1 2 2 3 3|, <0 -9 7 -4 10|]
EDOs: 21, 22, 43, 65d
Badness: 0.0367
13-limit
Commas: 78/77, 99/98, 176/175, 507/500
POTE generator: ~26/25 = 55.550
Map: [<1 2 2 3 3 3|, <0 -9 7 -4 10 15|]
EDOs: 21, 22, 43
Badness: 0.0353
Escaped
Commas: 245/243, 65625/65536
POTE generator: ~28/27 = 55.122
Map: [<1 2 2 4|, <0 -9 7 -26|]
Wedgie: <<9 -7 26 -32 16 80||
EDOs: 22, 65, 87, 196, 283
Badness: 0.0887
11-limit
Commas: 245/243, 385/384, 3388/3375
POTE generator: ~28/27 = 55.126
Map: [<1 2 2 4 3|, <0 -9 7 -26 10|]
EDOs: 22, 65, 87, 196, 283
Badness: 0.0358
13-limit
Commas: 245/243, 352/351, 364/363, 625/624
POTE generator: ~28/27 = 55.138
Map: [<1 2 2 4 3 2|, <0 -9 7 -26 10 37|]
EDOs: 22, 65, 87
Badness: 0.0314
Biscapade
Commas: 6144/6125, 118098/117649
POTE generator: ~16875/16384 = 55.230
Map: [<2 4 4 7|, <0 -9 7 -15|]
Wedgie: <<18 -14 30 -64 -3 109||
EDOs: 22, 86, 108, 130, 152, 282
Badness:
11-limit
Commas: 540/539, 4000/3993, 5632/5625
POTE generator: ~33/32 = 55.304
Map: [<2 4 4 7 6|, <0 -9 7 -15 10|]
EDOs: 22, 86, 108, 130, 152, 282
Badness:
13-limit
Commas: 351/350, 364/363, 540/539, 4096/4095
POTE generator: ~33/32 =55.359
Map: [<2 4 4 7 6 5|, <0 -9 7 -15 10 26|]
EDOs: 22, 108, 130
Badness: