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Gamelismic clan: Difference between revisions

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Switch to Sintel's badness, WE & CWE tunings, per community consensus (3/)
Switch to Sintel's badness, WE & CWE tunings, per community consensus (4/)
Line 901: Line 901:


{{Mapping|legend=1| 1 1 3 3 | 0 6 -7 -2 }}
{{Mapping|legend=1| 1 1 3 3 | 0 6 -7 -2 }}
: mapping generator: ~2, ~15/14
: mapping generator: ~2, ~15/14


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1200.000{{c}}, ~15/14 = 116.677{{c}}
* [[WE]]: ~2 = 1200.8209{{c}}, ~15/14 = 116.7550{{c}}
: [[error map]]: {{val| +0.821 -0.604 -1.136 +0.127 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~15/14 = 116.6756{{c}}
: error map: {{val| 0.000 -1.901 -3.043 -2.177 }}
<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~15/14 = 116.677{{c}}
: [[error map]]: {{val| 0.000 -1.892 -3.054 -2.180 }}
: [[error map]]: {{val| 0.000 -1.892 -3.054 -2.180 }}
* [[POTE]]: ~2 = 1200.000{{c}}, ~15/14 = 116.675{{c}}
* [[POTE]]: ~2 = 1200.000{{c}}, ~15/14 = 116.675{{c}}
: error map: {{val| 0.000 -1.904 -3.040 -2.176 }}
: error map: {{val| 0.000 -1.904 -3.040 -2.176 }} -->


[[Minimax tuning]]:
[[Minimax tuning]]:
Line 927: Line 930:
{{Optimal ET sequence|legend=1| 10, 21, 31, 41, 72 }}
{{Optimal ET sequence|legend=1| 10, 21, 31, 41, 72 }}


[[Badness]] (Smith): 0.016742
[[Badness]] (Sintel): 0.424


=== 11-limit ===
=== 11-limit ===
Line 937: Line 940:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~15/14 = 116.711{{c}}
* WE: ~2 = 1200.7626{{c}}, ~15/14 = 116.7069{{c}}
* POTE: ~2 = 1200.000{{c}}, ~15/14 = 116.633{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~15/14 = 116.6469{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~15/14 = 116.711{{c}}
* POTE: ~2 = 1200.000{{c}}, ~15/14 = 116.633{{c}} -->


Minimax tuning:
Minimax tuning:
Line 953: Line 958:
{{Optimal ET sequence|legend=0| 10, 21e, 31, 41, 72, 247c, 319bcde, 391bcde, 463bccde }}
{{Optimal ET sequence|legend=0| 10, 21e, 31, 41, 72, 247c, 319bcde, 391bcde, 463bccde }}


Badness (Smith): 0.010684
Badness (Sintel): 0.353


==== Miraculous ====
==== Miraculous ====
Line 963: Line 968:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~15/14 = 116.758{{c}}
* WE: ~2 = 1200.1267{{c}}, ~15/14 = 116.7596{{c}}
* POTE: ~2 = 1200.000{{c}}, ~15/14 = 116.747{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~15/14 = 116.7488{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~15/14 = 116.758{{c}}
* POTE: ~2 = 1200.000{{c}}, ~15/14 = 116.747{{c}} -->


{{Optimal ET sequence|legend=0| 10, 21e, 31, 41, 72f, 113f, 185cff }}
{{Optimal ET sequence|legend=0| 10, 21e, 31, 41, 72f }}


Badness (Smith): 0.018669
Badness (Sintel): 0.771


===== 17-limit =====
===== 17-limit =====
Line 978: Line 985:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~15/14 = 116.742{{c}}
* WE: ~2 = 1199.6759{{c}}, ~15/14 = 116.7378{{c}}
* POTE: ~2 = 1200.000{{c}}, ~15/14 = 116.769{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~15/14 = 116.7657{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~15/14 = 116.742{{c}}
* POTE: ~2 = 1200.000{{c}}, ~15/14 = 116.769{{c}} -->


{{Optimal ET sequence|legend=0| 10, 21e, 31, 41, 72fg }}
{{Optimal ET sequence|legend=0| 10, 21e, 31, 41, 72fg }}


Badness (Smith): 0.017084
Badness (Sintel): 0.870


==== Benediction ====
==== Benediction ====
Line 993: Line 1,002:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~15/14 = 116.541{{c}}
* WE: ~2 = 1199.8601{{c}}, ~15/14 = 116.6572{{c}}
* POTE: ~2 = 1200.000{{c}}, ~15/14 = 116.574{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~15/14 = 116.5688{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~15/14 = 116.541{{c}}
* POTE: ~2 = 1200.000{{c}}, ~15/14 = 116.574{{c}} -->


{{Optimal ET sequence|legend=0| 31, 72, 103, 175f }}
{{Optimal ET sequence|legend=0| 31, 72, 103, 175f }}


Badness (Smith): 0.015715
Badness (Sintel): 0.649


===== 17-limit =====
===== 17-limit =====
Line 1,008: Line 1,019:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~15/14 = 116.529{{c}}
* WE: ~2 = 1200.8328{{c}}, ~15/14 = 116.6661{{c}}
* POTE: ~2 = 1200.000{{c}}, ~15/14 = 116.585{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~15/14 = 116.5774{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~15/14 = 116.529{{c}}
* POTE: ~2 = 1200.000{{c}}, ~15/14 = 116.585{{c}} -->


{{Optimal ET sequence|legend=0| 31, 72, 103, 175f, 422bcdefffg }}
{{Optimal ET sequence|legend=0| 31, 72, 103, 175f, 422bcdefffg }}


Badness (Smith): 0.012537
Badness (Sintel): 0.639


==== Manna ====
==== Manna ====
Line 1,023: Line 1,036:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~15/14 = 116.814{{c}}
* WE: ~2 = 1200.7564{{c}}, ~15/14 = 116.8129{{c}}
* POTE: ~2 = 1200.000{{c}}, ~15/14 = 116.739{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~15/14 = 116.7528{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~15/14 = 116.814{{c}}
* POTE: ~2 = 1200.000{{c}}, ~15/14 = 116.739{{c}} -->


{{Optimal ET sequence|legend=0| 31f, 41, 72, 185cf, 257cff }}
{{Optimal ET sequence|legend=0| 31f, 41, 72, 185cf, 257cff }}


Badness (Smith): 0.017012
Badness (Sintel): 0.703


===== 17-limit =====
===== 17-limit =====
Line 1,038: Line 1,053:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~15/14 = 116.802{{c}}
* WE: ~2 = 1200.7570{{c}}, ~15/14 = 116.8011{{c}}
* POTE: ~2 = 1200.000{{c}}, ~15/14 = 116.727{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~15/14 = 116.7408{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~15/14 = 116.802{{c}}
* POTE: ~2 = 1200.000{{c}}, ~15/14 = 116.727{{c}} -->


{{Optimal ET sequence|legend=0| 31fg, 41, 72, 185cf, 257cff }}
{{Optimal ET sequence|legend=0| 31fg, 41, 72, 185cf, 257cff }}


Badness (Smith): 0.014680
Badness (Sintel): 0.748


==== Semimiracle ====
==== Semimiracle ====
Line 1,051: Line 1,068:


Mapping: {{mapping| 2 2 6 6 4 7 | 0 6 -7 -2 15 2 }}
Mapping: {{mapping| 2 2 6 6 4 7 | 0 6 -7 -2 15 2 }}
: mapping generators: ~55/39, ~15/14
: mapping generators: ~55/39, ~15/14


Optimal tunings:  
Optimal tunings:  
* CTE: ~55/39 = 600.000{{c}}, ~15/14 = 116.735{{c}}
* WE: ~55/39 = 600.4844{{c}}, ~15/14 = 116.7182{{c}}
* POTE: ~55/39 = 600.000{{c}}, ~15/14 = 116.624{{c}}
* CWE: ~55/39 = 600.0000{{c}}, ~15/14 = 116.6413{{c}}
<!-- * CTE: ~55/39 = 600.000{{c}}, ~15/14 = 116.735{{c}}
* POTE: ~55/39 = 600.000{{c}}, ~15/14 = 116.624{{c}} -->


{{Optimal ET sequence|legend=0| 10, 62, 72 }}
{{Optimal ET sequence|legend=0| 10, 62, 72 }}


Badness (Smith): 0.024622
Badness (Sintel): 1.02


===== 17-limit =====
===== 17-limit =====
Line 1,070: Line 1,088:


Optimal tunings:  
Optimal tunings:  
* CTE: ~17/12 = 600.000{{c}}, ~15/14 = 116.771{{c}}
* WE: ~17/12 = 600.5042{{c}}, ~15/14 = 116.7264{{c}}
* POTE: ~17/12 = 600.000{{c}}, ~15/14 = 116.628{{c}}
* CWE: ~17/12 = 600.0000{{c}}, ~15/14 = 116.6485{{c}}
<!-- * CTE: ~17/12 = 600.000{{c}}, ~15/14 = 116.771{{c}}
* POTE: ~17/12 = 600.000{{c}}, ~15/14 = 116.628{{c}} -->


{{Optimal ET sequence|legend=0| 10, 62, 72 }}
{{Optimal ET sequence|legend=0| 10, 62, 72 }}


Badness (Smith): 0.016130
Badness (Sintel): 0.822


==== Hemisecordite ====
==== Hemisecordite ====
Line 1,083: Line 1,103:


Mapping: {{mapping| 1 1 3 3 2 2 | 0 12 -14 -4 30 35 }}
Mapping: {{mapping| 1 1 3 3 2 2 | 0 12 -14 -4 30 35 }}
: mapping generators: ~2, ~27/26
: mapping generators: ~2, ~27/26


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~27/26 = 58.337{{c}}
* WE: ~2 = 1200.6969{{c}}, ~27/26 = 58.3217{{c}}
* POTE: ~2 = 1200.000{{c}}, ~27/26 = 58.288{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~27/26 = 58.2964{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~27/26 = 58.337{{c}}
* POTE: ~2 = 1200.000{{c}}, ~27/26 = 58.288{{c}} -->


{{Optimal ET sequence|legend=0| 41, 62, 103, 247c, 350bcde }}
{{Optimal ET sequence|legend=0| 41, 62, 103, 247c, 350bcde }}


Badness (Smith): 0.025589
Badness (Sintel): 1.06


===== 17-limit =====
===== 17-limit =====
Line 1,102: Line 1,123:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~27/26 = 58.312{{c}}
* WE: ~2 = 1200.6557{{c}}, ~27/26 = 58.2932{{c}}
* POTE: ~2 = 1200.000{{c}}, ~27/26 = 58.261{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~27/26 = 58.2702{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~27/26 = 58.312{{c}}
* POTE: ~2 = 1200.000{{c}}, ~27/26 = 58.261{{c}} -->


{{Optimal ET sequence|legend=0| 41, 62, 103 }}
{{Optimal ET sequence|legend=0| 41, 62, 103 }}


Badness (Smith): 0.022535
Badness (Sintel): 1.15


===== Semihemisecordite =====
===== Semihemisecordite =====
Line 1,115: Line 1,138:


Mapping: {{mapping| 2 2 6 6 4 4 7 | 0 12 -14 -4 30 35 12 }}
Mapping: {{mapping| 2 2 6 6 4 4 7 | 0 12 -14 -4 30 35 12 }}
: mapping generators: ~17/12, ~27/26
: mapping generators: ~17/12, ~27/26


Optimal tunings:  
Optimal tunings:  
* CTE: ~17/12 = 600.000{{c}}, ~27/26 = 58.350{{c}}
* WE: ~17/12 = 600.3951{{c}}, ~27/26 = 58.3260{{c}}
* POTE: ~17/12 = 600.000{{c}}, ~27/26 = 58.288{{c}}
* CWE: ~17/12 = 600.0000{{c}}, ~27/26 = 58.2974{{c}}
<!-- * CTE: ~17/12 = 600.000{{c}}, ~27/26 = 58.350{{c}}
* POTE: ~17/12 = 600.000{{c}}, ~27/26 = 58.288{{c}} -->


{{Optimal ET sequence|legend=0| 62, 144g, 206begg }}
{{Optimal ET sequence|legend=0| 62, 144g, 206begg }}


Badness (Smith): 0.046958
Badness (Sintel): 2.39


====== 19-limit ======
====== 19-limit ======
Line 1,134: Line 1,158:


Optimal tunings:  
Optimal tunings:  
* CTE: ~17/12 = 600.000{{c}}, ~27/26 = 58.356{{c}}
* WE: ~17/12 = 600.4418{{c}}, ~27/26 = 58.3255{{c}}
* POTE: ~17/12 = 600.000{{c}}, ~27/26 = 58.283{{c}}
* CWE: ~17/12 = 600.0000{{c}}, ~27/26 = 58.2928{{c}}
<!-- * CTE: ~17/12 = 600.000{{c}}, ~27/26 = 58.356{{c}}
* POTE: ~17/12 = 600.000{{c}}, ~27/26 = 58.283{{c}} -->


{{Optimal ET sequence|legend=0| 62, 144gh, 206begghh }}
{{Optimal ET sequence|legend=0| 62, 144gh, 206begghh }}


Badness (Smith): 0.035057
Badness (Sintel): 2.13


====== 23-limit ======
====== 23-limit ======
Line 1,149: Line 1,175:


Optimal tunings:  
Optimal tunings:  
* CTE: ~17/12 = 600.000{{c}}, ~27/26 = 58.366{{c}}
* WE: ~17/12 = 600.4451{{c}}, ~27/26 = 58.3264{{c}}
* POTE: ~17/12 = 600.000{{c}}, ~27/26 = 58.283{{c}}
* CWE: ~17/12 = 600.0000{{c}}, ~27/26 = 58.2942{{c}}
<!-- * CTE: ~17/12 = 600.000{{c}}, ~27/26 = 58.366{{c}}
* POTE: ~17/12 = 600.000{{c}}, ~27/26 = 58.283{{c}} -->


{{Optimal ET sequence|legend=0| 62, 144gh, 206begghhi }}
{{Optimal ET sequence|legend=0| 62, 144gh, 206begghhi }}


Badness (Smith): 0.026421
Badness (Sintel): 1.89


==== Phicordial ====
==== Phicordial ====
Line 1,161: Line 1,189:
Comma list: 225/224, 243/242, 385/384, 2200/2197
Comma list: 225/224, 243/242, 385/384, 2200/2197


Mapping: {{mapping| 1 7 -4 1 17 4 | 0 -18 21 6 -45 -1 }}
Mapping: {{mapping| 1 -11 17 7 -28 3 | 0 18 -21 -6 45 1 }}
 
: mapping generators: ~2, ~13/8
: mapping generators: ~2, ~16/13


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~16/13 = 361.096{{c}}
* WE: ~2 = 1200.7056{{c}}, ~13/8 = 839.3726{{c}}
* POTE: ~2 = 1200.000{{c}}, ~16/13 = 361.121{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~13/8 = 838.8831{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~13/8 = 838.904{{c}}
* POTE: ~2 = 1200.000{{c}}, ~13/8 = 838.879{{c}} -->


{{Optimal ET sequence|legend=0| 103, 216c, 319bcde, 535bccdef }}
{{Optimal ET sequence|legend=0| 103, 216c, 319bcde, 535bccdef }}


Badness (Smith): 0.033198
Badness (Sintel): 1.37


===== 17-limit =====
===== 17-limit =====
Line 1,178: Line 1,207:
Comma list: 225/224, 243/242, 273/272, 441/440, 2200/2197
Comma list: 225/224, 243/242, 273/272, 441/440, 2200/2197


Mapping: {{mapping| 1 7 -4 1 17 4 8 | 0 -18 21 6 -45 -1 -13 }}
Mapping: {{mapping| 1 -11 17 7 -28 3 -5 | 0 18 -21 -6 45 1 13 }}


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~16/13 = 361.098{{c}}
* WE: ~2 = 1200.5918{{c}}, ~13/8 = 839.2912{{c}}
* POTE: ~2 = 1200.000{{c}}, ~16/13 = 361.123{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~13/8 = 838.8809{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~13/8 = 838.902{{c}}
* POTE: ~2 = 1200.000{{c}}, ~13/8 = 838.877{{c}} -->


{{Optimal ET sequence|legend=0| 103, 216c, 319bcde }}
{{Optimal ET sequence|legend=0| 103, 216c, 319bcde }}


Badness (Smith): 0.024705
Badness (Sintel): 1.26


=== Revelation ===
=== Revelation ===
Line 1,196: Line 1,227:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~15/14 = 116.142{{c}}
* WE: ~2 = 1201.3320{{c}}, ~15/14 = 116.4057{{c}}
* POTE: ~2 = 1200.000{{c}}, ~15/14 = 116.277{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~15/14 = 116.2524{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~15/14 = 116.142{{c}}
* POTE: ~2 = 1200.000{{c}}, ~15/14 = 116.277{{c}} -->


{{Optimal ET sequence|legend=0| 10e, 21, 31 }}
{{Optimal ET sequence|legend=0| 10e, 21, 31 }}


Badness (Smith): 0.032946
Badness (Sintel): 1.09


==== 13-limit ====
==== 13-limit ====
Line 1,211: Line 1,244:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~15/14 = 116.194{{c}}
* WE: ~2 = 1200.6059{{c}}, ~15/14 = 116.3263{{c}}
* POTE: ~2 = 1200.000{{c}}, ~15/14 = 116.268{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~15/14 = 116.2564{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~15/14 = 116.194{{c}}
* POTE: ~2 = 1200.000{{c}}, ~15/14 = 116.268{{c}} -->


{{Optimal ET sequence|legend=0| 10e, 21, 31 }}
{{Optimal ET sequence|legend=0| 10e, 21, 31 }}


Badness (Smith): 0.029452
Badness (Sintel): 1.22


=== Hemimiracle ===
=== Hemimiracle ===
Line 1,224: Line 1,259:


Mapping: {{mapping| 1 1 3 3 4 | 0 12 -14 -4 -11 }}
Mapping: {{mapping| 1 1 3 3 4 | 0 12 -14 -4 -11 }}
: mapping generators: ~2, ~33/32
: mapping generators: ~2, ~33/32


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~33/32 = 58.399{{c}}
* WE: ~2 = 1200.2902{{c}}, ~33/32 = 58.4217{{c}}
* POTE: ~2 = 1200.000{{c}}, ~33/32 = 58.408{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~33/32 = 58.4062{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~33/32 = 58.399{{c}}
* POTE: ~2 = 1200.000{{c}}, ~33/32 = 58.408{{c}} -->


{{Optimal ET sequence|legend=0| 20, 21, 41 }}
{{Optimal ET sequence|legend=0| 20, 21, 41 }}


Badness (Smith): 0.059232
Badness (Sintel): 1.96


==== 13-limit ====
==== 13-limit ====
Line 1,243: Line 1,279:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~33/32 = 58.436{{c}}
* WE: ~2 = 1199.8454{{c}}, ~33/32 = 58.4220{{c}}
* POTE: ~2 = 1200.000{{c}}, ~33/32 = 58.430{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~33/32 = 58.4305{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~33/32 = 58.436{{c}}
* POTE: ~2 = 1200.000{{c}}, ~33/32 = 58.430{{c}} -->


{{Optimal ET sequence|legend=0| 20, 21, 41 }}
{{Optimal ET sequence|legend=0| 20, 21, 41 }}


Badness (Smith): 0.043151
Badness (Sintel): 1.78


=== Oracle ===
=== Oracle ===
Line 1,255: Line 1,293:
Comma list: 121/120, 225/224, 1029/1024
Comma list: 121/120, 225/224, 1029/1024


Mapping: {{mapping| 1 7 -4 1 3 | 0 -12 14 4 1 }}
Mapping: {{mapping| 1 -5 10 5 4 | 0 12 -14 -4 -1 }}
 
: mapping generators: ~2, ~16/11
: mapping generators: ~2, ~11/8


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~11/8 = 541.670{{c}}
* WE: ~2 = 1201.2122{{c}}, ~16/11 = 658.9974{{c}}
* POTE: ~2 = 1200.000{{c}}, ~11/8 = 541.668{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~16/11 = 658.3320{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~16/11 = 658.330{{c}}
* POTE: ~2 = 1200.000{{c}}, ~16/11 = 658.332{{c}} -->


{{Optimal ET sequence|legend=0| 11, 20, 31, 82e, 113e, 144ee }}
{{Optimal ET sequence|legend=0| 11, 20, 31, 82e, 113e, 144ee }}


Badness (Smith): 0.042687
Badness (Sintel): 1.41


== Hemiseven ==
== Hemiseven ==
Line 1,274: Line 1,313:
[[Comma list]]: 1029/1024, 19683/19600
[[Comma list]]: 1029/1024, 19683/19600


{{Mapping|legend=1| 1 4 14 2 | 0 -6 -29 2 }}
{{Mapping|legend=1| 1 -2 -15 4 | 0 6 29 -2 }}
: mapping generators: ~2, ~320/243
: mapping generators: ~2, ~243/160


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1200.000{{c}}, ~320/243 = 483.215{{c}}
* [[WE]]: ~2 = 1200.5612{{c}}, ~243/160 = 717.0687{{c}}
: [[error map]]: {{val| +0.561 -0.665 +0.260 -0.718 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~243/160 = 716.7478{{c}}
: error map: {{val| 0.000 -1.468 -0.629 -2.321 }}
<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~243/160 = 716.785{{c}}
: [[error map]]: {{val| 0.000 -1.247 +0.441 -2.395 }}
: [[error map]]: {{val| 0.000 -1.247 +0.441 -2.395 }}
* [[POTE]]: ~2 = 1200.000{{c}}, ~320/243 = 483.267{{c}}
* [[POTE]]: ~2 = 1200.000{{c}}, ~243/160 = 716.733{{c}}
: error map: {{val| 0.000 -1.554 -1.043 -2.293 }}
: error map: {{val| 0.000 -1.554 -1.043 -2.293 }} -->


{{Optimal ET sequence|legend=1| 72, 149, 221, 514bd, 735bcdd }}
{{Optimal ET sequence|legend=1| 72, 149, 221, 514bd, 735bcdd }}


[[Badness]] (Smith): 0.056557
[[Badness]] (Sintel): 1.43


=== 11-limit ===
=== 11-limit ===
Line 1,292: Line 1,335:
Comma list: 385/384, 441/440, 19683/19600
Comma list: 385/384, 441/440, 19683/19600


Mapping: {{mapping| 1 4 14 2 -5 | 0 -6 -29 2 21 }}
Mapping: {{mapping| 1 -2 -15 4 16 | 0 6 29 -2 -21 }}


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~320/243 = 483.247{{c}}
* WE: ~2 = 1200.6243{{c}}, ~243/160 = 717.0969{{c}}
* POTE: ~2 = 1200.000{{c}}, ~320/243 = 483.276{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~243/160 = 716.7292{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~243/160 = 716.753{{c}}
* POTE: ~2 = 1200.000{{c}}, ~243/160 = 716.724{{c}} -->


{{Optimal ET sequence|legend=0| 72, 149, 221e, 293de }}
{{Optimal ET sequence|legend=0| 72, 149, 221e, 293de }}


Badness (Smith): 0.028467
Badness (Sintel): 0.941


=== 13-limit ===
=== 13-limit ===
Line 1,307: Line 1,352:
Comma list: 351/350, 385/384, 441/440, 676/675
Comma list: 351/350, 385/384, 441/440, 676/675


Mapping: {{mapping| 1 4 14 2 -5 19 | 0 -6 -29 2 21 -38 }}
Mapping: {{mapping| 1 -2 -15 4 16 -19 | 0 6 29 -2 -21 38 }}


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~120/91 = 483.213{{c}}
* WE: ~2 = 1200.6781{{c}}, ~91/60 = 717.1496{{c}}
* POTE: ~2 = 1200.000{{c}}, ~120/91 = 483.255{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~91/60 = 716.7520{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~91/60 = 716.787{{c}}
* POTE: ~2 = 1200.000{{c}}, ~91/60 = 716.745{{c}} -->


{{Optimal ET sequence|legend=0| 72, 149, 221ef }}
{{Optimal ET sequence|legend=0| 72, 149, 221ef }}


Badness (Smith): 0.021900
Badness (Sintel): 0.905


=== 17-limit ===
=== 17-limit ===
Line 1,322: Line 1,369:
Comma list: 273/272, 351/350, 385/384, 441/440, 676/675
Comma list: 273/272, 351/350, 385/384, 441/440, 676/675


Mapping: {{mapping| 1 4 14 2 -5 19 21 | 0 -6 -29 2 21 -38 -42 }}
Mapping: {{mapping| 1 -2 -15 4 16 -19 -21 | 0 6 29 -2 -21 38 42 }}


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~45/34 = 483.213{{c}}
* WE: ~2 = 1200.6635{{c}}, ~68/45 = 717.1354{{c}}
* POTE: ~2 = 1200.000{{c}}, ~45/34 = 483.261{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~68/45 = 716.7472{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~68/45 = 716.787{{c}}
* POTE: ~2 = 1200.000{{c}}, ~68/45 = 716.739{{c}} -->


{{Optimal ET sequence|legend=0| 72, 149, 221ef }}
{{Optimal ET sequence|legend=0| 72, 149, 221ef }}


Badness (Smith): 0.015701
Badness (Sintel): 0.800


== Valentine ==
== Valentine ==
Retrieved from "https://en.xen.wiki/w/Gamelismic_clan"