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Maquila family: Difference between revisions

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m Units & misc. cleanup
m Text replacement - "Mapping: {{mapping| " to "{{Mapping|legend=0| "
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{{Mapping|legend=1| 1 -6 5 | 0 17 -6 }}
{{Mapping|legend=1| 1 -6 5 | 0 17 -6 }}
: mapping generators: ~2, ~512/375


[[Optimal tuning]] ([[POTE]]): ~2 = 1200.000{{c}}, ~512/375 = 535.437{{c}}
[[Optimal tuning]]s:
* [[WE]]: ~2 = 1199.7466{{c}}, ~512/375 = 535.3242{{c}}
: [[error map]]: {{val| -0.253 +0.078 +0.474 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~512/375 = 535.4324{{c}}
: error map: {{val| 0.000 +0.396 +1.092 }}


{{Optimal ET sequence|legend=1| 9, 38b, 47b, 56, 65, 186, 251, 316, 381, 697c }}
{{Optimal ET sequence|legend=1| 9, 47b, 56, 65, 186, 251, 316, 381, 697c }}


[[Badness]] (Smith): 0.472510
[[Badness]] (Sintel): 11.1


== Septimal maquila ==
== Septimal maquila ==
Line 22: Line 27:
{{Mapping|legend=1| 1 -6 5 -7 | 0 17 -6 22 }}
{{Mapping|legend=1| 1 -6 5 -7 | 0 17 -6 22 }}


[[Optimal tuning]] ([[POTE]]): ~2 = 1200.000{{c}}, ~48/35 = 535.322{{c}}
[[Optimal tuning]]s:
* [[WE]]: ~2 = 1199.3017{{c}}, ~48/35 = 535.0104{{c}}
: [[error map]]: {{val| -0.698 -2.589 +0.133 +6.290 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~48/35 = 535.3050{{c}}
: error map: {{val| 0.000 -1.770 +1.856 +7.884 }}


{{Optimal ET sequence|legend=1| 9, 56d, 65d }}
{{Optimal ET sequence|legend=1| 9, 56d, 65d }} *


[[Badness]] (Smith): 0.232430
<nowiki/>* [[optimal patent val]]: [[74edo|74]]
 
[[Badness]] (Sintel): 5.88


=== 11-limit ===
=== 11-limit ===
Line 33: Line 44:
Comma list: 99/98, 176/175, 73728/73205
Comma list: 99/98, 176/175, 73728/73205


Mapping: {{mapping| 1 -6 5 -7 -1 | 0 17 -6 22 10 }}
{{Mapping|legend=0| 1 -6 5 -7 -1 | 0 17 -6 22 10 }}


Optimal tuning (POTE): ~2 = 1200.000{{c}}, ~15/11 = 535.321{{c}}
Optimal tunings:
* WE: ~2 = 1199.3341{{c}}, ~15/11 = 535.0238{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~15/11 = 535.3050{{c}}


{{Optimal ET sequence|legend=0| 9, 56d, 65d }}
{{Optimal ET sequence|legend=0| 9, 56d, 65d }} *


Badness (Smith): 0.072550
<nowiki/>* optimal patent val: [[74edo|74]]
 
Badness (Sintel): 2.40


=== 13-limit ===
=== 13-limit ===
Line 46: Line 61:
Comma list: 99/98, 144/143, 176/175, 847/845
Comma list: 99/98, 144/143, 176/175, 847/845


Mapping: {{mapping| 1 -6 5 -7 -1 -7 | 0 17 -6 22 10 24 }}
{{Mapping|legend=0| 1 -6 5 -7 -1 -7 | 0 17 -6 22 10 24 }}
 
Optimal tunings:
* WE: ~2 = 1199.2163{{c}}, ~15/11 = 534.9484{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~15/11 = 535.2780{{c}}


Optimal tuning (POTE): ~2 = 1200.000{{c}}, ~15/11 = 535.298{{c}}
{{Optimal ET sequence|legend=0| 9, 56df, 65d, 139df }} *


{{Optimal ET sequence|legend=0| 9, 56df, 65d, 139df, 204ddff }}
<nowiki/>* optimal patent val: [[74edo|74]]


Badness (Smith): 0.042198
Badness (Sintel): 1.74


== Maquiloid ==
== Maquiloid ==
Line 61: Line 80:
{{Mapping|legend=1| 1 -6 5 -3 | 0 17 -6 13 }}
{{Mapping|legend=1| 1 -6 5 -3 | 0 17 -6 13 }}


[[Optimal tuning]] ([[POTE]]): ~2 = 1200.000{{c}}, ~175/128 = 535.482{{c}}
[[Optimal tuning]]s:
* [[WE]]: ~2 = 1200.3854{{c}}, ~175/128 = 535.6538{{c}}
: [[error map]]: {{val| +0.385 +1.847 +1.691 -6.483 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~175/128 = 535.4907{{c}}
: error map: {{val| 0.000 +1.387 +0.742 -7.447 }}


{{Optimal ET sequence|legend=1| 9, 38b, 47b, 56, 65, 121d, 186dd }}
{{Optimal ET sequence|legend=1| 9, 47b, 56, 65, 121d }}


[[Badness]] (Smith): 0.188977
[[Badness]] (Sintel): 4.78


=== 11-limit ===
=== 11-limit ===
Line 72: Line 95:
Comma list: 245/242, 385/384, 686/675
Comma list: 245/242, 385/384, 686/675


Mapping: {{mapping| 1 -6 5 -3 -1 | 0 17 -6 13 10 }}
{{Mapping|legend=0| 1 -6 5 -3 -1 | 0 17 -6 13 10 }}


Optimal tuning (POTE): ~2 = 1200.000{{c}}, ~15/11 = 535.485{{c}}
Optimal tunings:
* WE: ~2 = 1200.0926{{c}}, ~15/11 = 535.5265{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~15/11 = 535.4873{{c}}


{{Optimal ET sequence|legend=0| 9, 38be, 47b, 56, 65, 121d, 186dde }}
{{Optimal ET sequence|legend=0| 9, 47b, 56, 65 }}


Badness (Smith): 0.066234
Badness (Sintel): 2.19


=== 13-limit ===
=== 13-limit ===
Line 85: Line 110:
Comma list: 91/90, 169/168, 245/242, 385/384
Comma list: 91/90, 169/168, 245/242, 385/384


Mapping: {{mapping| 1 -6 5 -3 -1 -3 | 0 17 -6 13 10 15 }}
{{Mapping|legend=0| 1 -6 5 -3 -1 -3 | 0 17 -6 13 10 15 }}


Optimal tuning (POTE): ~2 = 1200.000{{c}}, ~15/11 = 535.501{{c}}
Optimal tunings:
* WE: ~2 = 1200.3916{{c}}, ~15/11 = 535.6758{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~15/11 = 535.5109{{c}}


{{Optimal ET sequence|legend=0| 9, 38be, 47b, 56, 65f, 121df, 186ddeff }}
{{Optimal ET sequence|legend=0| 9, 47b, 56, 65f }}


Badness (Smith): 0.041850
Badness (Sintel): 1.73


== Hemimaquila ==
== Hemimaquila ==
Line 100: Line 127:
{{Mapping|legend=1| 1 -6 5 -5 | 0 34 -12 35 }}
{{Mapping|legend=1| 1 -6 5 -5 | 0 34 -12 35 }}


[[Optimal tuning]] ([[POTE]]): ~2 = 1200.000{{c}}, ~7/6 = 267.716{{c}}
[[Optimal tuning]]s:
* [[WE]]: ~2 = 1199.7108{{c}}, ~7/6 = 267.6515{{c}}
: [[error map]]: {{val| -0.289 -0.069 +0.422 +0.422 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~7/6 = 267.7125{{c}}
: error map: {{val| 0.000 +0.271 +1.136 +1.112 }}


{{Optimal ET sequence|legend=1| 9, 121, 130, 251, 381 }}
{{Optimal ET sequence|legend=1| 121, 130, 251, 381 }}


[[Badness]] (Smith): 0.111465
[[Badness]] (Sintel): 2.82


=== 11-limit ===
=== 11-limit ===
Line 111: Line 142:
Comma list: 540/539, 5632/5625, 12005/11979
Comma list: 540/539, 5632/5625, 12005/11979


Mapping: {{mapping| 1 -6 5 -5 -1 | 0 34 -12 35 20 }}
{{Mapping|legend=0| 1 -6 5 -5 -1 | 0 34 -12 35 20 }}


Optimal tuning (POTE): ~2 = 1200.000{{c}}, ~7/6 = 267.717{{c}}
Optimal tunings:
* WE: ~2 = 1199.5846{{c}}, ~7/6 = 267.6248{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~7/6 = 267.7125{{c}}


{{Optimal ET sequence|legend=0| 9, 121, 130, 251e, 381e }}
{{Optimal ET sequence|legend=0| 121, 130, 251e, 381e }}


Badness (Smith): 0.047440
Badness (Sintel): 1.57


=== 13-limit ===
=== 13-limit ===
Line 124: Line 157:
Comma list: 364/363, 540/539, 676/675, 3584/3575
Comma list: 364/363, 540/539, 676/675, 3584/3575


Mapping: {{mapping| 1 -6 5 -5 -1 -5 | 0 34 -12 35 20 39 }}
{{Mapping|legend=0| 1 -6 5 -5 -1 -5 | 0 34 -12 35 20 39 }}


Optimal tuning (POTE): ~2 = 1200.000, ~7/6 = 267.719{{c}}
Optimal tunings:
* WE: ~2 = 1199.6184{{c}}, ~7/6 = 267.6343{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~7/6 = 267.7145{{c}}


{{Optimal ET sequence|legend=0| 9, 121, 130, 251e, 381e }}
{{Optimal ET sequence|legend=0| 121, 130, 251e, 381e }}


Badness (Smith): 0.024445
Badness (Sintel): 1.01


[[Category:Maquila family| ]] <!-- main article -->
[[Category:Maquila family| ]] <!-- main article -->
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