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Father family: Difference between revisions

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Switch to Sintel's badness, WE & CWE tunings, per community consensus
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[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1200.000, ~3/2 = 737.469
* [[WE]]: ~2 = 1180.875{{c}}, ~3/2 = 732.129{{c}}
: [[error map]]: {{val| -19.125 +11.048 +24.181 }}
* [[CWE]]: ~2 = 1200.000{{c}}, ~3/2 = 742.290{{c}}
: error map: {{val| 0.000 +40.335 +71.396 }}
<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~3/2 = 737.469{{c}}
: [[error map]]: {{val| 0.000 +35.514 +76.218 }}
: [[error map]]: {{val| 0.000 +35.514 +76.218 }}
* [[POTE]]: ~2 = 1200.000, ~3/2 = 743.986
* [[POTE]]: ~2 = 1200.000{{c}}, ~3/2 = 743.986{{c}}
: error map: {{val| 0.000 +42.031 +69.700 }}
: error map: {{val| 0.000 +42.031 +69.700 }} -->


[[Minimax tuning]]:  
[[Minimax tuning]]:  
Line 25: Line 29:
{{Optimal ET sequence|legend=1| 1, 2, 3, 5, 8, 13c, 21bcc }}
{{Optimal ET sequence|legend=1| 1, 2, 3, 5, 8, 13c, 21bcc }}


[[Badness]] (Smith): 0.014884
[[Badness]] (Sintel): 0.349


=== Overview to extensions ===
=== Overview to extensions ===
Line 47: Line 51:


[[Optimal tuning]]s:
[[Optimal tuning]]s:
* [[CTE]]: ~2 = 1200.000, ~3/2 = 727.855
* [[WE]]: ~2 = 1180.634{{c}}, ~3/2 = 730.027{{c}}
: [[error map]]: {{val| -19.366 +8.706 +25.561 +1.890 }}
* [[CWE]]: ~2 = 1200.000{{c}}, ~3/2 = 738.443{{c}}
: error map: {{val| 0.000 +36.488 +75.244 +46.502 }}
<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~3/2 = 727.855{{c}}
: [[error map]]: {{val| 0.000 +25.900 +85.831 +14.739 }}
: [[error map]]: {{val| 0.000 +25.900 +85.831 +14.739 }}
* [[POTE]]: ~2 = 1200.000, ~3/2 = 742.002
* [[POTE]]: ~2 = 1200.000{{c}}, ~3/2 = 742.002{{c}}
: error map: {{val| 0.000 +40.047 +71.684 +57.180 }}
: error map: {{val| 0.000 +40.047 +71.684 +57.180 }} -->


[[Minimax tuning]]:  
[[Minimax tuning]]:  
Line 60: Line 68:
{{Optimal ET sequence|legend=1| 2d, 3d, 5, 8d, 13cd, 21bccdd }}
{{Optimal ET sequence|legend=1| 2d, 3d, 5, 8d, 13cd, 21bccdd }}


[[Badness]] (Smith): 0.021312
[[Badness]] (Sintel): 0.539


=== 11-limit ===
=== 11-limit ===
Line 70: Line 78:


Optimal tunings:
Optimal tunings:
* CTE: ~2 = 1200.000, ~3/2 = 732.209
* WE: ~2 = 1180.894{{c}}, ~3/2 = 735.260{{c}}
* POTE: ~2 = 1200.000, ~3/2 = 747.156
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 743.387{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~3/2 = 732.209{{c}}
* POTE: ~2 = 1200.000{{c}}, ~3/2 = 747.156{{c}} -->


{{Optimal ET sequence|legend=0| 2de, 3de, 5, 8d }}
{{Optimal ET sequence|legend=0| 2de, 3de, 5, 8d }}


Badness (Smith): 0.020589
Badness (Sintel): 0.681


== Mother ==
== Mother ==
Line 85: Line 95:


[[Optimal tuning]]s:
[[Optimal tuning]]s:
* [[CTE]]: ~2 = 1200.000, ~3/2 = 727.290
* [[WE]]: ~2 = 1186.985{{c}}, ~3/2 = 713.743{{c}}
: [[error map]]: {{val| -13.015 -1.228 +60.898 -48.372 }}
* [[CWE]]: ~2 = 1200.000{{c}}, ~3/2 = 722.866{{c}}
: error map: {{val| 0.000 +20.911 +90.820 -14.559 }}
<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~3/2 = 727.290{{c}}
: [[error map]]: {{val| 0.000 +25.335 +86.396 -23.406 }}
: [[error map]]: {{val| 0.000 +25.335 +86.396 -23.406 }}
* [[POTE]]: ~2 = 1200.000, ~3/2 = 721.569
* [[POTE]]: ~2 = 1200.000{{c}}, ~3/2 = 721.569{{c}}
: error map: {{val| 0.000 +19.614 +92.118 -11.963 }}
: error map: {{val| 0.000 +19.614 +92.118 -11.963 }} -->


{{Optimal ET sequence|legend=1| 2, 3, 5 }}
{{Optimal ET sequence|legend=1| 2, 3, 5 }}


[[Badness]] (Smith): 0.024152
[[Badness]] (Sintel): 0.611


=== 11-limit ===
=== 11-limit ===
Line 101: Line 115:
Mapping: {{mapping| 1 0 4 6 5 | 0 1 -1 -2 -1 }}
Mapping: {{mapping| 1 0 4 6 5 | 0 1 -1 -2 -1 }}


Optimal tunings:
Optimal tunings:  
* CTE: ~2 = 1200.000, ~3/2 = 721.699
* WE: ~2 = 1192.016{{c}}, ~3/2 = 712.592{{c}}
* POTE: ~2 = 1200.000, ~3/2 = 717.364
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 743.387{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~3/2 = 718.370{{c}}
* POTE: ~2 = 1200.000{{c}}, ~3/2 = 717.364{{c}} -->


{{Optimal ET sequence|legend=0| 2, 3, 5 }}
{{Optimal ET sequence|legend=0| 2, 3, 5 }}


Badness (Smith): 0.021957
Badness (Sintel): 0.726


== Pater ==
== Pater ==
Line 116: Line 132:
{{Mapping|legend=1| 1 0 4 11 | 0 1 -1 -5 }}
{{Mapping|legend=1| 1 0 4 11 | 0 1 -1 -5 }}


[[Optimal tuning]]s:
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1200.000, ~3/2 = 761.765
* [[WE]]: ~2 = 1179.316{{c}}, ~3/2 = 740.132{{c}}
: [[error map]]: {{val| -20.684 +17.493 +11.503 +6.412 }}
* [[CWE]]: ~2 = 1200.000{{c}}, ~3/2 = 755.156{{c}}
: error map: {{val| 0.000 +53.201 +58.530 +55.392 }}
<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~3/2 = 761.765{{c}}
: [[error map]]: {{val| 0.000 +59.810 +51.921 +22.348 }}
: [[error map]]: {{val| 0.000 +59.810 +51.921 +22.348 }}
* [[POTE]]: ~2 = 1200.000, ~3/2 = 753.113
* [[POTE]]: ~2 = 1200.000{{c}}, ~3/2 = 753.113{{c}}
: error map: {{val| 0.000 +51.158 +60.574 +65.610 }}
: error map: {{val| 0.000 +51.158 +60.574 +65.610 }} -->


{{Optimal ET sequence|legend=1| 3, 5d, 8d, 27bbccdd }}
{{Optimal ET sequence|legend=1| 3, 5d, 8d, 27bbccdd }}


[[Badness]] (Smith): 0.053001
[[Badness]] (Sintel): 1.34


=== 11-limit ===
=== 11-limit ===
Line 133: Line 153:
Mapping: {{mapping| 1 0 4 11 10 | 0 1 -1 -5 -4 }}
Mapping: {{mapping| 1 0 4 11 10 | 0 1 -1 -5 -4 }}


Optimal tunings:
Optimal tunings:  
* CTE: ~2 = 1200.000, ~3/2 = 761.872
* WE: ~2 = 1180.290{{c}}, ~3/2 = 739.054{{c}}
* POTE: ~2 = 1200.000, ~3/2 = 751.396
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 753.774{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~3/2 = 761.872{{c}}
* POTE: ~2 = 1200.000{{c}}, ~3/2 = 751.396{{c}} -->


{{Optimal ET sequence|legend=0| 3, 5de, 8d }}
{{Optimal ET sequence|legend=0| 3, 5de, 8d }}


Badness (Smith): 0.035487
Badness (Sintel): 1.17


[[Category:Temperament families]]
[[Category:Temperament families]]
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