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Starling temperaments: Difference between revisions

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= Thuja =
= Thuja =
Subgroup: 2.3.5.7
Comma list: 126/125, 65536/64827
Comma list: 126/125, 65536/64827


Line 744: Line 747:
= Cypress =
= Cypress =
== 5-limit ==
== 5-limit ==
Comma: 258280326/244140625
[[Comma list]]: 258280326/244140625
 
[[Mapping]]: [<1 7 10|, <0 -12 -17|]


POTE generator: ~4374/3125 = 541.726
[[POTE generator]]: ~4374/3125 = 541.726


Map: [<1 7 10|, <0 -12 -17|]
{{Val list|legend=1| 11c, 20c, 31, 113c, 144c, 175c, 381bcc }}


EDOs: {{EDOs|11c, 20c, 31, 113c, 144c, 175c, 381bcc}}
[[Badness]]: 0.8166


Badness: 0.8166
== 7-limit ==
[[Comma list]]: 126/125, 19683/19208


==7-limit==
[[Mapping]]: [<1 7 10 15|, <0 -12 -17 -27|]
Commas: 126/125, 19683/19208


POTE generator: ~135/98 = 541.828
{{Multival|legend=1| 12 17 27 -1 9 15 }}


Map: [<1 7 10 15|, <0 -12 -17 -27|]
[[POTE generator]]: ~135/98 = 541.828


Wedgie: <<12 17 27 -1 9 15||
{{Val list|legend=1| 11cd, 20cd, 31, 206bcd, 237bcd, 268bcd, 299bcd, 330bbcd }}


EDOs: {{EDOs|11cd, 20cd, 31, 206bcd, 237bcd, 268bcd, 299bcd, 330bbcd}}
[[Badness]]: 0.0998


Badness: 0.0998
== 11-limit ==
Comma list: 99/98, 126/125, 243/242


==11-limit==
Mapping: [<1 7 10 15 17|, <0 -12 -17 -27 -30|]
Commas: 99/98, 126/125, 243/242


POTE generator: ~15/11 = 541.772
POTE generator: ~15/11 = 541.772


Map: [<1 7 10 15 17|, <0 -12 -17 -27 -30|]
{{Val list|legend=1| 11cdee, 20cde, 31, 144cd, 175cd, 206bcde, 237bcde }}
 
EDOs: {{EDOs|11cdee, 20cde, 31, 144cd, 175cd, 206bcde, 237bcde}}


Badness: 0.0427
Badness: 0.0427


== 13-limit ==
== 13-limit ==
Commas: 66/65, 99/98. 126/125, 243/242
Comma list: 66/65, 99/98. 126/125, 243/242
 
Mapping: [<1 7 10 15 17 15|, <0 -12 -17 -27 -30 -25|]


POTE generator: ~15/11 = 541.778
POTE generator: ~15/11 = 541.778


Map: [<1 7 10 15 17 15|, <0 -12 -17 -27 -30 -25|]
{{Val list|legend=1| 11cdeef, 20cdef, 31 }}
 
EDOs: {{EDOs|11cdeef, 20cdef, 31}}


Badness: 0.0378
Badness: 0.0378


= Bisemidim =
= Bisemidim =
Commas: 126/125, 118098/117649
[[Comma list]]: 126/125, 118098/117649


POTE generator: ~35/27 = 455.445
[[Mapping]]: [<2 1 2 2|, <0 9 11 15|]


Map: [<2 1 2 2|, <0 9 11 15|]
{{Multival|legend=1| 18 22 30 -7 -3 8 }}


Wedgie: <<18 22 30 -7 -3 8||
[[POTE generator]]: ~35/27 = 455.445


EDOs: {{EDOs|50, 58, 108, 166c, 408ccc}}
{{Val list|legend=1| 50, 58, 108, 166c, 408ccc }}


Badness: 0.0978
[[Badness]]: 0.0978


== 11-limit ==
== 11-limit ==
Commas: 126/125, 540/539, 1344/1331
Comma list: 126/125, 540/539, 1344/1331
 
Mapping: [<2 1 2 2 5|, <0 9 11 15 8|]


POTE generator: ~35/27 = 455.373
POTE generator: ~35/27 = 455.373


Map: [<2 1 2 2 5|, <0 9 11 15 8|]
{{Val list|legend=1| 50, 58, 108, 166ce, 224cee }}
 
EDOs: {{EDOs|50, 58, 108, 166ce, 224cee}}


Badness: 0.0412
Badness: 0.0412


== 13-limit ==
== 13-limit ==
Commas: 126/125, 144/143, 196/195, 364/363
Comma list: 126/125, 144/143, 196/195, 364/363
 
Mapping: [<2 1 2 2 5 5|, <0 9 11 15 8 10|]


POTE generator: ~35/27 = 455.347
POTE generator: ~35/27 = 455.347


Map: [<2 1 2 2 5 5|, <0 9 11 15 8 10|]
{{Val list|legend=1| 50, 58, 166cef, 224ceeff }}
 
EDOs: {{EDOs|50, 58, 166cef, 224ceeff}}


Badness: 0.0239
Badness: 0.0239


= Vines =
= Vines =
Commas: 126/125, 84035/82944
[[Comma list]]: 126/125, 84035/82944


POTE generator: ~6/5 = 312.602
[[Mapping]]: [<2 7 8 8|, <0 -8 -7 -5|]


Map: [<2 7 8 8|, <0 -8 -7 -5|]
[[POTE generator]]: ~6/5 = 312.602


EDOs: {{EDOs|42, 46, 96d, 142d, 238dd}}
{{Val list|legend=1| 42, 46, 96d, 142d, 238dd }}


Badness: 0.0780
Badness: 0.0780


==11-limit==
== 11-limit ==
Commas: 126/125, 385/384, 2401/2376
Comma list: 126/125, 385/384, 2401/2376
 
Mapping: [<2 7 8 8 5|, <0 -8 -7 -5 4|]


POTE generator: ~6/5 = 312.601
POTE generator: ~6/5 = 312.601


Map: [<2 7 8 8 5|, <0 -8 -7 -5 4|]
{{Val list|legend=1| 42, 46, 96d, 142d, 238dd }}


EDOs: {{EDOs|42, 46, 96d, 142d, 238dd}}
Badness: 0.0445


Badness: 0.0445
== 13-limit ==
Comma list: 126/125, 196/195, 364/363, 385/384


==13-limit==
Mapping: [<2 7 8 8 5 5|, <0 -8 -7 -5 4 5|]
Commas: 126/125, 196/195, 364/363, 385/384


POTE generator: ~6/5 = 312.564
POTE generator: ~6/5 = 312.564


Map: [<2 7 8 8 5 5|, <0 -8 -7 -5 4 5|]
{{Val list|legend=1| 42, 46, 96d, 238ddf }}
 
EDOs: {{EDOs|42, 46, 96d, 238ddf}}


Badness: 0.0297
Badness: 0.0297
Line 859: Line 862:
= Kumonga =
= Kumonga =
== 5-limit ==
== 5-limit ==
Comma: 1289945088/1220703125
[[Comma list]]: 1289945088/1220703125


POTE generator: ~144/125 = 222.912
[[Mapping]]: [<1 4 4|, <0 -13 -9|]


Map: [<1 4 4|, <0 -13 -9|]
[[POTE generator]]: ~144/125 = 222.912


EDOs: {{EDOs|16, 27, 43, 70, 183cc}}
{{Val list|legend=1| 16, 27, 43, 70, 183cc }}


Badness: 0.7296
[[Badness]]: 0.7296


== 7-limit ==
== 7-limit ==
Commas: 126/125, 12288/12005
[[Comma list]]: 126/125, 12288/12005


POTE generator: ~8/7 = 222.797
[[Mapping]]: [<1 4 4 3|, <0 -13 -9 -1|]


Map: [<1 4 4 3|, <0 -13 -9 -1|]
{{Multival|legend=1| 13 9 1 -16 -35 -23 }}


Wedgie: <<13 9 1 -16 -35 -23||
[[POTE generator]]: ~8/7 = 222.797


EDOs: {{EDOs|16, 27, 43, 70, 167ccdd}}
{{Val list|legend=1| 16, 27, 43, 70, 167ccdd }}


Badness: 0.0875
[[Badness]]: 0.0875


== 11-limit ==
== 11-limit ==
Commas: 126/125, 176/175, 864/847
Comma list: 126/125, 176/175, 864/847
 
Mapping: [<1 4 4 3 7|, <0 -13 -9 -1 -19|]


POTE generator: ~8/7 = 222.898
POTE generator: ~8/7 = 222.898


Map: [<1 4 4 3 7|, <0 -13 -9 -1 -19|]
{{Val list|legend=1| 16, 27e, 43, 70e }}
 
EDOs: {{EDOs|16, 27e, 43, 70e}}


Badness: 0.0433
Badness: 0.0433


== 13-limit ==
== 13-limit ==
Commas: 78/77, 126/125, 144/143, 176/175
Comma list: 78/77, 126/125, 144/143, 176/175
 
Mapping: [<1 4 4 3 7 5|, <0 -13 -9 -1 -19 -7|]


POTE generator: ~8/7 = 222.961
POTE generator: ~8/7 = 222.961


Map: [<1 4 4 3 7 5|, <0 -13 -9 -1 -19 -7|]
{{Val list|legend=1| 16, 27e, 43, 70e, 113cdee }}
 
EDOs: {{EDOs|16, 27e, 43, 70e, 113cdee}}


Badness: 0.0289
Badness: 0.0289


= Amigo =
= Amigo =
Commas: 126/125, 2097152/2083725
[[Comma list]]: 126/125, 2097152/2083725


POTE generator: ~5/4 = 391.094
[[Mapping]]: [<1 9 3 -10|, <0 -11 -1 19|]


Map: [<1 9 3 -10|, <0 -11 -1 19|]
[[POTE generator]]: ~5/4 = 391.094


EDOs: {{EDOs|43, 46, 89, 135c, 359cc}}
{{Val list|legend=1| 43, 46, 89, 135c, 359cc }}


Badness: 0.1109
[[Badness]]: 0.1109


== 11-limit ==
== 11-limit ==
Commas: 126/125, 176/175, 16384/16335
Comma list: 126/125, 176/175, 16384/16335
 
Mapping: [<1 9 3 -10 -8|, <0 -11 -1 19 17|]


POTE generator: ~5/4 = 391.075
POTE generator: ~5/4 = 391.075


Map: [<1 9 3 -10 -8|, <0 -11 -1 19 17|]
{{Val list|legend=1| 43, 46, 89, 135c, 224c }}
 
EDOs: {{EDOs|43, 46, 89, 135c, 224c}}


Badness: 0.0434
Badness: 0.0434


== 13-limit ==
== 13-limit ==
Commas: 126/125, 169/168, 176/175, 364/363
Comma list: 126/125, 169/168, 176/175, 364/363
 
Mapping: [<1 9 3 -10 -8 1|, <0 -11 -1 19 17 4|]


POTE generator: ~5/4 = 391.072
POTE generator: ~5/4 = 391.072


Map: [<1 9 3 -10 -8 1|, <0 -11 -1 19 17 4|]
{{Val list|legend=1| 43, 46, 89, 135cf, 224cf }}
 
EDOs: {{EDOs|43, 46, 89, 135cf, 224cf}}


Badness: 0.0307
Badness: 0.0307
Line 940: Line 943:
{{main|Oolong}}
{{main|Oolong}}
== 5-limit ==
== 5-limit ==
Comma: [11 18 -17>
[[Comma list]]: [11 18 -17>


POTE generator: ~6/5 = 311.6942
[[Mapping]]: [<1 6 7|, <0 -17 -18|]


Map: [<1 6 7|, <0 -17 -18|]
[[POTE generator]]: ~6/5 = 311.6942


EDOs: {{EDOs|23, 27, 50, 77}}
{{Val list|legend=1| 23, 27, 50, 77 }}


Badness: 0.9428
[[Badness]]: 0.9428


==7-limit==
==7-limit==
Commas: 126/125, 117649/116640
[[Comma list]]: 126/125, 117649/116640


POTE generator: ~6/5 = 311.6793
[[Mapping]]: [&lt;1 6 7 8|, &lt;0 -17 -18 -20|]


Map: [&lt;1 6 7 8|, &lt;0 -17 -18 -20|]
[[POTE generator]]: ~6/5 = 311.6793


EDOs: {{EDOs|27, 50, 77}}
{{Val list|legend=1| 27, 50, 77 }}


Badness: 0.0735
[[Badness]]: 0.0735


== 11-limit ==
== 11-limit ==
Commas: 126/125, 176/175, 26411/26244
Comma list: 126/125, 176/175, 26411/26244
 
Mapping: [<1 6 7 8 18|, <0 -17 -18 -20 -56|]


POTE generator: ~6/5 = 311.5873
POTE generator: ~6/5 = 311.5873


Map: [<1 6 7 8 18|, <0 -17 -18 -20 -56|]
{{Val list|legend=1| 27e, 77, 104c, 181c }}
 
EDOs: {{EDOs|27e, 77, 104c, 181c}}


Badness: 0.0569
Badness: 0.0569


== 13-limit ==
== 13-limit ==
Commas: 126/125, 176/175, 196/195, 13013/12960
Comma list: 126/125, 176/175, 196/195, 13013/12960
 
Mapping: [<1 6 7 8 18 5|, <0 -17 -18 -20 -56 -5|]


POTE generator: ~6/5 = 311.5908
POTE generator: ~6/5 = 311.5908


Map: [<1 6 7 8 18 5|, <0 -17 -18 -20 -56 -5|]
{{Val list|legend=1| 27e, 77, 104c, 181c }}
 
EDOs: {{EDOs|27e, 77, 104c, 181c}}


Badness: 0.0356
Badness: 0.0356


[[Category:Theory]]
[[Category:Regular temperament theory]]
[[Category:Temperament]]
[[Category:Temperament collection]]
[[Category:Starling]]
[[Category:Starling]]
[[Category:Myna]]
[[Category:Myna]]
[[Category:Listen]]
[[Category:Rank 2]]
Retrieved from "https://en.xen.wiki/w/Starling_temperaments"