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Escapade family: Difference between revisions

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= Escapade =
= Escapade =
Subgroup: 2.3.5
Comma: 4294967296/4271484375
Comma: 4294967296/4271484375


[[POTE_tuning|POTE generator]]: ~16875/16384 = 55.293
Mapping: [<1 2 2|, <0 -9 7|]


Map: [<1 2 2|, <0 -9 7|]
[[POTE generator]]: ~16875/16384 = 55.293


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
Badness: 0.083778


==7-limit==
== 7-limit ==
Commas: 225/224, 12288/12005
Subgroup: 2.3.5.7
 
Comma list: 225/224, 12288/12005
 
Mapping: [<1 2 2 3|, <0 -9 7 -4|]
 
Wedgie: <<9 -7 4 -32 -19 29||


POTE generator: ~49/48 = 55.327
POTE generator: ~49/48 = 55.327


Map: [<1 2 2 3|, <0 -9 7 -4|]
Vals: 21, 22, 43, 65d


Wedgie: <<9 -7 4 -32 -19 29||
Badness: 0.077950


EDOs: 21, 22, 43, 65d
== 11-limit ==
Subgroup: 2.3.5.7.11


Badness: 0.0779
Comma list: 99/98, 176/175, 2560/2541


==11-limit==
Mapping: [<1 2 2 3 3|, <0 -9 7 -4 10|]
Commas: 99/98, 176/175, 2560/2541


POTE generator: ~49/48 = 55.354
POTE generator: ~49/48 = 55.354


Map: [<1 2 2 3 3|, <0 -9 7 -4 10|]
Vals: 21, 22, 43, 65d


EDOs: 21, 22, 43, 65d
Badness: 0.036700


Badness: 0.0367
== 13-limit ==
Subgroup: 2.3.5.7.11.13


==13-limit==
Comma list: 78/77, 99/98, 176/175, 507/500
Commas: 78/77, 99/98, 176/175, 507/500
 
Mapping: [<1 2 2 3 3 3|, <0 -9 7 -4 10 15|]


POTE generator: ~26/25 = 55.550
POTE generator: ~26/25 = 55.550


Map: [<1 2 2 3 3 3|, <0 -9 7 -4 10 15|]
Vals: 21, 22, 43
 
EDOs: 21, 22, 43


Badness: 0.0353
Badness: 0.035261


= Escaped =
= Escaped =
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This temperament is also known as "sensa" because it tempers out 245/243, 352/351, and 385/384 as a sensamagic temperament. ''Not to be confused with 19e&27 temperament (sensi extension).''
This temperament is also known as "sensa" because it tempers out 245/243, 352/351, and 385/384 as a sensamagic temperament. ''Not to be confused with 19e&27 temperament (sensi extension).''


Commas: 245/243, 65625/65536
Subgroup: 2.3.5.7
 
[[Comma list]]: 245/243, 65625/65536


[[POTE_tuning|POTE generator]]: ~28/27 = 55.122
[[Mapping]]: [{{val| 1 2 2 4 }}, {{val| 0 -9 7 -26 }}]


Map: [<1 2 2 4|, <0 -9 7 -26|]
{{Multival|legend=1| 9 -7 26 -32 16 80 }}


Wedgie: <<9 -7 26 -32 16 80||
[[POTE generator]]: ~28/27 = 55.122


EDOs: 22, 65, [[87edo|87]], 196, 283
{{Val list|legend=1| 22, 65, 87, 196, 283 }}


Badness: 0.0887
[[Badness]]: 0.088746


== 11-limit ==
== 11-limit ==
Commas: 245/243, 385/384, 3388/3375
Subgroup: 2.3.5.7.11
 
Comma list: 245/243, 385/384, 4000/3993
 
Mapping: [{{val| 1 2 2 4 3 }}, {{val| 0 -9 7 -26 10 }}]


POTE generator: ~28/27 = 55.126
POTE generator: ~28/27 = 55.126


Map: [<1 2 2 4 3|, <0 -9 7 -26 10|]
Vals: {{Val list| 22, 65, 87, 196, 283 }}


EDOs: 22, 65, 87, 196, 283
Badness: 0.035844
 
== 13-limit ==
Subgroup: 2.3.5.7.11.13


Badness: 0.0358
Comma list: 245/243, 352/351, 385/384, 625/624


== 13-limit ==
Mapping: [{{val| 1 2 2 4 3 2 }}, {{val| 0 -9 7 -26 10 37 }}]
Commas: 245/243, 352/351, 364/363, 625/624


POTE generator: ~28/27 = 55.138
POTE generator: ~28/27 = 55.138


Map: [<1 2 2 4 3 2|, <0 -9 7 -26 10 37|]
Vals: {{Val list| 22, 65, 87, 283 }}


EDOs: 22, 65, 87, 196, 283
Badness: 0.031366


Badness: 0.0314
= Biscapade =
Subgroup: 2.3.5.7


=Biscapade=
[[Comma list]]: 6144/6125, 118098/117649
Commas: 6144/6125, 118098/117649


[[POTE_tuning|POTE generator]]: ~16875/16384 = 55.230
[[Mapping]]: [{{val|2 4 4 7}}, {{val|0 -9 7 -15}}]


Map: [<2 4 4 7|, <0 -9 7 -15|]
{{Multival|legend=1|18 -14 30 -64 -3 109}}


Wedgie: <<18 -14 30 -64 -3 109||
[[POTE generator]]: ~16875/16384 = 55.320


EDOs: 22, [[86edo|86]], 108, 130, 152, 282
{{Val list|legend=1| 22, 86, 108, 130, 152, 282 }}


Badness: 0.0592
[[Badness]]: 0.059241


==11-limit==
== 11-limit ==
Commas: 540/539, 4000/3993, 5632/5625
Subgroup: 2.3.5.7.11
 
Comma list: 540/539, 4000/3993, 5632/5625
 
Mapping: [{{val|2 4 4 7 6}}, {{val|0 -9 7 -15 10}}]


POTE generator: ~33/32 = 55.304
POTE generator: ~33/32 = 55.304


Map: [<2 4 4 7 6|, <0 -9 7 -15 10|]
Vals: {{Val list| 22, 86, 108, 130, 152, 282 }}


EDOs: 22, 86, 108, 130, 152, 282
Badness: 0.024619


Badness: 0.0246
== 13-limit ==
Subgroup: 2.3.5.7.11.13


==13-limit==
Comma list: 351/350, 364/363, 540/539, 4096/4095
Commas: 351/350, 364/363, 540/539, 4096/4095


POTE generator: ~33/32 =55.359
Mapping: [{{val|2 4 4 7 6 5}}, {{val|0 -9 7 -15 10 26}}]


Map: [<2 4 4 7 6 5|, <0 -9 7 -15 10 26|]
POTE generator: ~33/32 = 55.359


EDOs: 22, 108, 130
Vals: {{Val list| 22, 108, 130 }}


Badness: 0.0330
Badness: 0.033038


[[Category:Theory]]
[[Category:Theory]]
[[Category:Temperament family]]
[[Category:Temperament family]]
[[Category:Escapade]]
[[Category:Escapade]]
Retrieved from "https://en.xen.wiki/w/Escapade_family"