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Orwellismic temperaments: Difference between revisions

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Switch to Sintel's badness, WE & CWE tunings, per community consensus (1/)
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: mapping generators: ~567/400, ~10/9
: mapping generators: ~567/400, ~10/9


[[Optimal tuning]] ([[POTE]]): ~567/400 = 600.000{{c}}, ~10/9 = 185.885{{c}}
[[Optimal tuning]]s:
* [[WE]]: ~567/400 = 599.8218{{c}}, ~10/9 = 185.8303{{c}}
: [[error map]]: {{val| -0.356 -1.321 +1.141 +1.944 }}
* [[CWE]]: ~567/400 = 600.0000{{c}}, ~10/9 = 185.8618{{c}}
: error map: {{val| 0.000 -0.922 +1.613 +2.898 }}
<!-- * [[POTE]]: ~567/400 = 600.000{{c}}, ~10/9 = 185.885{{c}} -->


{{Optimal ET sequence|legend=1| 26, 58, 84, 142, 368cd }}
{{Optimal ET sequence|legend=1| 26, 58, 84, 142, 368cd }}


[[Badness]] (Smith): 0.095278
[[Badness]] (Sintel): 2.41


=== 11-limit ===
=== 11-limit ===
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Mapping: {{mapping| 2 1 0 5 6 | 0 7 15 2 3 }}
Mapping: {{mapping| 2 1 0 5 6 | 0 7 15 2 3 }}


Optimal tuning (POTE): ~99/70 = 600.000{{c}}, ~10/9 = 185.962{{c}}
Optimal tunings:
* WE: ~99/70 = 599.5785{{c}}, ~10/9 = 185.8332{{c}}
* CWE: ~99/70 = 600.0000{{c}}, ~10/9 = 185.9140{{c}}
<!-- * POTE: ~99/70 = 600.000{{c}}, ~10/9 = 185.962{{c}} -->


{{Optimal ET sequence|legend=0| 26, 58, 142e, 200cdee }}
{{Optimal ET sequence|legend=0| 26, 58, 142e, 200cdee }}


Badness (Smith): 0.046373
Badness (Sintel): 1.53


=== 13-limit ===
=== 13-limit ===
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Mapping: {{mapping| 2 1 0 5 6 4 | 0 7 15 2 3 11 }}
Mapping: {{mapping| 2 1 0 5 6 4 | 0 7 15 2 3 11 }}


Optimal tuning (POTE): ~99/70 = 600.000{{c}}, ~10/9 = 185.955{{c}}
Optimal tunings:
* WE: ~55/39 = 599.5432{{c}}, ~10/9 = 185.8136{{c}}
* CWE: ~55/39 = 600.0000{{c}}, ~10/9 = 185.9012{{c}}
<!-- * POTE: ~99/70 = 600.000{{c}}, ~10/9 = 185.955{{c}} -->


{{Optimal ET sequence|legend=0| 26, 58, 84, 142ef }}
{{Optimal ET sequence|legend=0| 26, 58, 84, 142ef }}


Badness (Smith): 0.025035
Badness (Sintel): 1.03


=== 17-limit ===
=== 17-limit ===
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Mapping: {{mapping| 2 1 0 5 6 4 6 | 0 7 15 2 3 11 7 }}
Mapping: {{mapping| 2 1 0 5 6 4 6 | 0 7 15 2 3 11 7 }}


Optimal tuning (POTE): ~17/12 = 600.000{{c}}, ~10/9 = 185.916{{c}}
Optimal tunings:
* WE: ~17/12 = 599.7117{{c}}, ~10/9 = 185.8270{{c}}
* CWE: ~17/12 = 600.0000{{c}}, ~10/9 = 185.8834{{c}}
<!-- * POTE: ~17/12 = 600.000{{c}}, ~10/9 = 185.916{{c}} -->


{{Optimal ET sequence|legend=0| 26, 58, 84, 142ef }}
{{Optimal ET sequence|legend=0| 26, 58, 84 }}


Badness (Smith): 0.021642
Badness (Sintel): 1.10


=== 19-limit ===
=== 19-limit ===
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Mapping: {{mapping| 2 1 0 5 6 4 6 2 | 0 7 15 2 3 11 7 21 }}
Mapping: {{mapping| 2 1 0 5 6 4 6 2 | 0 7 15 2 3 11 7 21 }}


Optimal tuning (POTE): ~17/12 = 600.000{{c}}, ~10/9 = 185.858{{c}}
Optimal tunings:
* WE: ~17/12 = 599.7288{{c}}, ~10/9 = 185.7738{{c}}
* CWE: ~17/12 = 600.0000{{c}}, ~10/9 = 185.8279{{c}}
<!-- * POTE: ~17/12 = 600.000{{c}}, ~10/9 = 185.858{{c}} -->


{{Optimal ET sequence|legend=0| 26, 58h, 84, 142efh, 226deefgh }}
{{Optimal ET sequence|legend=0| 26, 58h, 84 }}


Badness (Smith): 0.018565
Badness (Sintel): 1.13


== Infraorwell ==
== Infraorwell ==
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[[Comma list]]: 1728/1715, 28672/28125
[[Comma list]]: 1728/1715, 28672/28125


{{Mapping|legend=1| 1 14 0 16 | 0 -16 3 -17 }}
{{Mapping|legend=1| 1 -2 3 -1 | 0 16 -3 17 }}
: mapping generators: ~2, ~12/7
: mapping generators: ~2, ~7/6


[[Optimal tuning]] ([[POTE]]): ~2 = 1200.000{{c}}, ~7/6 = 269.032{{c}}
[[Optimal tuning]]s:
* [[WE]]: ~2 = 1198.4649{{c}}, ~7/6 = 268.6878{{c}}
: [[error map]]: {{val| -1.535 +0.120 +3.018 +0.401 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~7/6 = 268.9844{{c}}
: error map: {{val| 0.000 +1.796 +6.733 +3.909 }}
<!-- * POTE: ~2 = 1200.000{{c}}, ~7/6 = 269.032{{c}} -->


{{Optimal ET sequence|legend=1| 9, 49, 58, 165cd, 223bcd }}
{{Optimal ET sequence|legend=1| 9, 40bd, 49, 58, 165cd, 223bccd, 281bcccdd }}


[[Badness]] (Smith): 0.117073
[[Badness]] (Sintel): 2.96


=== 11-limit ===
=== 11-limit ===
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Comma list: 176/175, 540/539, 1344/1331
Comma list: 176/175, 540/539, 1344/1331


Mapping: {{mapping| 1 14 0 16 12 | 0 -16 3 -17 -11 }}
Mapping: {{mapping| 1 -2 3 -1 1 | 0 16 -3 17 11 }}


Optimal tuning (POTE): ~2 = 1200.000{{c}}, ~7/6 = 269.036{{c}}
Optimal tunings:
* WE: ~2 = 1198.2928{{c}}, ~7/6 = 268.6532{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~7/6 = 268.9825{{c}}
<!-- * POTE: ~2 = 1200.000{{c}}, ~7/6 = 269.036{{c}} -->


{{Optimal ET sequence|legend=0| 9, 49, 58, 165cdee }}
{{Optimal ET sequence|legend=0| 9, 40bde, 49, 58, 165cdee, 223bccdeee, 281bcccddeee }}


Badness (Smith): 0.040721
Badness (Sintel): 1.35


=== 13-limit ===
=== 13-limit ===
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Comma list: 144/143, 176/175, 196/195, 364/363
Comma list: 144/143, 176/175, 196/195, 364/363


Mapping: {{mapping| 1 14 0 16 12 20 | 0 -16 3 -17 -11 -21 }}
Mapping: {{mapping| 1 -2 3 -1 1 -1 | 0 16 -3 17 11 21 }}


Optimal tuning (POTE): ~2 = 1200.000{{c}}, ~7/6 = 269.021{{c}}
Optimal tunings:
* WE: ~2 = 1198.2216{{c}}, ~7/6 = 268.6220{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~7/6 = 268.9616{{c}}
<!-- * POTE: ~2 = 1200.000{{c}}, ~7/6 = 269.021{{c}} -->


{{Optimal ET sequence|legend=0| 9, 49f, 58 }}
{{Optimal ET sequence|legend=0| 9, 40bdef, 49f, 58, 223bccdeeefff, 281bcccddeeeffff }}


Badness (Smith): 0.023683
Badness (Sintel): 0.979


== Sentinel ==
== Sentinel ==
Retrieved from "https://en.xen.wiki/w/Orwellismic_temperaments"