Orwellismic temperaments: Difference between revisions

Switch to Sintel's badness, WE & CWE tunings, per community consensus (2/)
Switch to Sintel's badness, WE & CWE tunings, per community consensus (3/3)
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: mapping generators: ~15/14, ~3
: mapping generators: ~15/14, ~3


[[Optimal tuning]] ([[POTE]]): ~15/14 = 92.308{{c}}, ~3/2 = 694.143{{c}}
[[Optimal tuning]]s:
* [[WE]]: ~15/14 = 92.5254{{c}}, ~3/2 = 695.7801{{c}}
: [[error map]]: {{val| +2.831 -3.344 -10.551 +10.192 }}
* [[CWE]]: ~15/14 = 92.3077{{c}}, ~3/2 = 695.8319{{c}}
: error map: {{val| 0.000 -6.123 -17.083 +3.929 }}
<!-- * [[POTE]]: ~15/14 = 92.308{{c}}, ~3/2 = 694.143{{c}} -->


{{Optimal ET sequence|legend=1| 13d, 26 }}
{{Optimal ET sequence|legend=1| 13d, 26 }}


[[Badness]] (Smith): 0.219050
[[Badness]] (Sintel): 5.54


=== 11-limit ===
=== 11-limit ===
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Mapping: {{mapping| 13 0 30 16 45 | 0 1 0 1 0 }}
Mapping: {{mapping| 13 0 30 16 45 | 0 1 0 1 0 }}


Optimal tuning (POTE): ~15/14 = 92.308{{c}}, ~3/2 = 696.296{{c}}
Optimal tunings:
* WE: ~15/14 = 92.4364{{c}}, ~3/2 = 697.2675{{c}}
* CWE: ~15/14 = 92.3077{{c}}, ~3/2 = 697.0548{{c}}
<!-- * POTE: ~15/14 = 92.308{{c}}, ~3/2 = 696.296{{c}} -->


{{Optimal ET sequence|legend=0| 13d, 26, 91cd }}
{{Optimal ET sequence|legend=0| 13d, 26 }}


Badness (Smith): 0.098847
Badness (Sintel): 3.27


=== 13-limit ===
=== 13-limit ===
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Mapping: {{mapping| 13 0 30 16 45 48 | 0 1 0 1 0 0 }}
Mapping: {{mapping| 13 0 30 16 45 48 | 0 1 0 1 0 0 }}


Optimal tuning (POTE): ~15/14 = 92.308{{c}}, ~3/2 = 695.879{{c}}
Optimal tunings:
* WE: ~15/14 = 92.4535{{c}}, ~3/2 = 696.9785{{c}}
* CWE: ~15/14 = 92.3077{{c}}, ~3/2 = 696.5711{{c}}
<!-- * POTE: ~15/14 = 92.308{{c}}, ~3/2 = 695.879{{c}} -->


{{Optimal ET sequence|legend=0| 13d, 26, 91cdf }}
{{Optimal ET sequence|legend=0| 13d, 26 }}


Badness (Smith): 0.059216
Badness (Sintel): 2.45


== Pentaorwell ==
== Pentaorwell ==
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[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~280/243 = 240.000{{c}}, ~3/2 = 704.3709{{c}} (~64/63 = 15.6291{{c}})
* [[WE]]: ~280/243 = 239.7268{{c}}, ~3/2 = 704.1103{{c}} (~64/63 = 15.0700{{c}})
* [[POTE]]: ~280/243 = 240.000{{c}}, ~3/2 = 704.9128{{c}} (~64/63 = 15.0872{{c}})
: [[error map]]: {{val| -1.366 +0.789 -0.013 +2.419 }}
* [[CWE]]: ~280/243 = 240.0000{{c}}, ~3/2 = 704.7723{{c}} (~64/63 = 15.2277{{c}})
: error map: {{val| 0.000 +2.817 +2.320 +6.402 }}
<!-- * [[CTE]]: ~280/243 = 240.000{{c}}, ~3/2 = 704.3709{{c}} (~64/63 = 15.6291{{c}})
* [[POTE]]: ~280/243 = 240.000{{c}}, ~3/2 = 704.9128{{c}} (~64/63 = 15.0872{{c}}) -->


{{Optimal ET sequence|legend=1| 5, 75, 80 }}
{{Optimal ET sequence|legend=1| 5, 75, 80 }}


[[Badness]] (Smith): 0.148665
[[Badness]] (Sintel): 3.76


=== 11-limit ===
=== 11-limit ===
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Optimal tunings:  
Optimal tunings:  
* CTE: ~55/48 = 240.000{{c}}, ~3/2 = 704.8440{{c}} (~99/98 = 15.1560{{c}})
* WE: ~55/48 = 239.7357{{c}}, ~3/2 = 704.1025{{c}} (~99/98 = 15.1045{{c}})
* POTE: ~55/48 = 240.000{{c}}, ~3/2 = 704.8788{{c}} (~99/98 = 15.1212{{c}})
* CWE: ~55/48 = 240.0000{{c}}, ~3/2 = 704.8440{{c}} (~99/98 = 15.1560{{c}})
<!-- * CTE: ~55/48 = 240.000{{c}}, ~3/2 = 704.8440{{c}} (~99/98 = 15.1560{{c}})
* POTE: ~55/48 = 240.000{{c}}, ~3/2 = 704.8788{{c}} (~99/98 = 15.1212{{c}}) -->


{{Optimal ET sequence|legend=0| 75e, 80, 315bcdddee }}
{{Optimal ET sequence|legend=0| 5, 75e, 80, 315bcdddee }}


Badness (Smith): 0.071702
Badness (Sintel): 2.37


=== 13-limit ===
=== 13-limit ===
Line 378: Line 395:


Optimal tunings:  
Optimal tunings:  
* CTE: ~55/48 = 240.000{{c}}, ~3/2 = 704.7636{{c}} (~99/98 = 15.2364{{c}})
* WE: ~55/48 = 239.7711{{c}}, ~3/2 = 704.0302{{c}} (~99/98 = 15.2830{{c}})
* CWE: ~55/48 = 240.000{{c}}, ~3/2 = 704.7112{{c}} (~99/98 = 15.2882{{c}})
* CWE: ~55/48 = 240.0000{{c}}, ~3/2 = 704.7112{{c}} (~99/98 = 15.2888{{c}})
<!-- * CTE: ~55/48 = 240.000{{c}}, ~3/2 = 704.7636{{c}} (~99/98 = 15.2364{{c}}) -->


{{Optimal ET sequence|legend=0| 75e, 80, 155de }}
{{Optimal ET sequence|legend=0| 5f, 75e, 80, 155de }}


Badness (Smith): 0.0557
Badness (Sintel): 2.30


[[Category:Temperament collections]]
[[Category:Temperament collections]]