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Gamelismic clan: Difference between revisions

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Switch to Sintel's badness, WE & CWE tunings, per community consensus (5/)
Switch to Sintel's badness, WE & CWE tunings, per community consensus (6/)
Line 1,785: Line 1,785:


Badness (Sintel): 1.36
Badness (Sintel): 1.36
== Dee leap week ==
{{Main| Dee leap week }}
[[Subgroup]]: 2.3.5.7
[[Comma list]]: 1029/1024, 2460375/2458624
{{Mapping|legend=1| 1 -5 25 5 | 0 9 -31 -3 }}
[[Optimal tuning]]s:
* [[WE]]: ~2 = 1200.4835{{c}}, ~224/135 = 878.2507{{c}}
: [[error map]]: {{val| +0.484 -0.117 +0.004 -1.160 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~224/135 = 877.8926{{c}}
: error map: {{val| 0.000 -0.921 -0.985 -2.504 }}
<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~224/135 = 877.877{{c}} -->
{{Optimal ET sequence|legend=1| 41, 108, 149, 190 }}
[[Badness]] (Sintel): 2.12
=== 11-limit ===
Subgroup: 2.3.5.7.11
Comma list: 385/384, 441/440, 2460375/2458624
Mapping: {{mapping| 1 -5 25 5 -28 | 0 9 -31 -3 43 }}
Optimal tunings:
* WE: ~2 = 1200.4874{{c}}, ~224/135 = 878.2543{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~224/135 = 877.8987{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~224/135 = 877.903{{c}} -->
{{Optimal ET sequence|legend=0| 41, 108e, 149, 190 }}
Badness (Sintel): 1.35


== Unidec ==
== Unidec ==
Line 1,794: Line 1,830:
[[Comma list]]: 31381059609/31250000000
[[Comma list]]: 31381059609/31250000000


{{Mapping|legend=1| 2 5 8 | 0 -6 -11 }}
{{Mapping|legend=1| 2 -1 -3 | 0 6 11 }}
: mapping generators: ~177147/125000, ~10/9
: mapping generators: ~177147/125000, ~25000/19683


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~177147/125000 = 600.000{{c}}, ~10/9 = 183.041{{c}}
* [[WE]]: ~177147/125000 = 600.0124{{c}}, ~25000/19683 = 416.9619{{c}}
: [[error map]]: {{val| +0.025 -0.196 +0.235 }}
* [[CWE]]: ~177147/125000 = 600.0000{{c}}, ~25000/19683 = 416.9561{{c}}
: error map: {{val| 0.000 -0.236 +0.172 }}
<!-- * [[CTE]]: ~177147/125000 = 600.000{{c}}, ~25000/19683 = 416.959{{c}}
: [[error map]]: {{val| 0.000 -0.201 +0.235 }}
: [[error map]]: {{val| 0.000 -0.201 +0.235 }}
* [[POTE]]: ~177147/125000 = 600.000{{c}}, ~10/9 = 183.047{{c}}
* [[POTE]]: ~177147/125000 = 600.000{{c}}, ~25000/19683 = 416.953{{c}}
: error map: {{val| 0.000 -0.236 +0.172 }}
: error map: {{val| 0.000 -0.236 +0.172 }} -->


{{Optimal ET sequence|legend=1| 26, 46, 72, 118, 2524, 2642, 2760 }}
{{Optimal ET sequence|legend=1| 26, 46, 72, 118, 2524, 2642, 2760 }}


[[Badness]] (Smith): 0.082423
[[Badness]] (Sintel): 1.93


=== 7-limit ===
=== 7-limit ===
Line 1,812: Line 1,852:
[[Comma list]]: 1029/1024, 4375/4374
[[Comma list]]: 1029/1024, 4375/4374


{{Mapping|legend=1| 2 5 8 5 | 0 -6 -11 2 }}
{{Mapping|legend=1| 2 -1 -3 7 | 0 6 11 -2 }}


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~1225/864 = 600.000{{c}}, ~10/9 = 183.060{{c}}
* [[CTE]]: ~1225/864 = 600.2429{{c}}, ~80/63 = 417.0073{{c}}
: [[error map]]: {{val| +0.486 -0.154 +0.038 -1.140 }}
* [[POTE]]: ~1225/864 = 600.0000{{c}}, ~80/63 = 416.8688{{c}}
: error map: {{val| 0.000 -0.924 -1.090 -2.503 }}
<!-- * [[CTE]]: ~1225/864 = 600.000{{c}}, ~80/63 = 416.940{{c}}
: [[error map]]: {{val| 0.000 -0.313 +0.030 -2.707 }}
: [[error map]]: {{val| 0.000 -0.313 +0.030 -2.707 }}
* [[POTE]]: ~1225/864 = 600.000{{c}}, ~10/9 = 183.161{{c}}
* [[POTE]]: ~1225/864 = 600.000{{c}}, ~80/63 = 416.839{{c}}
: error map: {{val| 0.000 -0.924 -1.090 -2.503 }}
: error map: {{val| 0.000 -0.924 -1.090 -2.503 }} -->


[[Minimax tuning]]:
[[Minimax tuning]]:
Line 1,830: Line 1,874:
{{Optimal ET sequence|legend=1| 26, 46, 72, 118, 190 }}
{{Optimal ET sequence|legend=1| 26, 46, 72, 118, 190 }}


[[Badness]] (Smith): 0.038393
[[Badness]] (Sintel): 0.972


=== 11-limit ===
=== 11-limit ===
Line 1,837: Line 1,881:
Comma list: 385/384, 441/440, 4375/4374
Comma list: 385/384, 441/440, 4375/4374


Mapping: {{mapping| 2 5 8 5 6 | 0 -6 -11 2 3 }}
Mapping: {{mapping| 2 -1 -3 7 9 | 0 6 11 -2 -3 }}


Optimal tunings:  
Optimal tunings:  
* CTE: ~99/70 = 600.000{{c}}, ~10/9 = 183.074{{c}}
* WE: ~99/70 = 600.2497{{c}}, ~14/11 = 417.0085{{c}}
* CWE: ~99/70 = 600.000{{c}}, ~10/9 = 183.146{{c}}
* CWE: ~99/70 = 600.0000{{c}}, ~14/11 = 416.8543{{c}}
<!-- * CTE: ~99/70 = 600.000{{c}}, ~14/11 = 416.926{{c}} -->


Minimax tuning:
Minimax tuning:
Line 1,850: Line 1,895:
{{Optimal ET sequence|legend=0| 26, 46, 72, 118, 190 }}
{{Optimal ET sequence|legend=0| 26, 46, 72, 118, 190 }}


Badness (Smith): 0.015479
Badness (Sintel): 0.512


==== Ekadash ====
==== Ekadash ====
Line 1,857: Line 1,902:
Comma list: 385/384, 441/440, 625/624, 729/728
Comma list: 385/384, 441/440, 625/624, 729/728


Mapping: {{mapping| 2 5 8 5 6 19 | 0 -6 -11 2 3 -38 }}
Mapping: {{mapping| 2 -1 -3 7 9 -19 | 0 6 11 -2 -3 38 }}


Optimal tunings:  
Optimal tunings:  
* CTE: ~99/70 = 600.000{{c}}, ~10/9 = 183.125{{c}}
* WE: ~99/70 = 600.2497{{c}}, ~14/11 = 417.0085{{c}}
* POTE: ~99/70 = 600.000{{c}}, ~10/9 = 183.187{{c}}
* CWE: ~99/70 = 600.0000{{c}}, ~14/11 = 416.8543{{c}}
<!-- * CTE: ~99/70 = 600.000{{c}}, ~14/11 = 416.875{{c}}
* POTE: ~99/70 = 600.000{{c}}, ~14/11 = 416.813{{c}} -->


{{Optimal ET sequence|legend=0| 46f, 72, 118, 190, 262df, 452cdef }}
{{Optimal ET sequence|legend=0| 46f, 72, 118, 190, 262df, 452cdef }}


Badness (Smith): 0.020381
Badness (Sintel): 0.842


==== Hendec ====
==== Hendec ====
Line 1,872: Line 1,919:
Comma list: 169/168, 325/324, 364/363, 385/384
Comma list: 169/168, 325/324, 364/363, 385/384


Mapping: {{mapping| 2 5 8 5 6 8 | 0 -6 -11 2 3 -2 }}
Mapping: {{mapping| 2 -1 -3 7 9 6 | 0 6 11 -2 -3 2 }}


Optimal tunings:  
Optimal tunings:  
* CTE: ~91/64 = 600.000{{c}}, ~10/9 = 183.048{{c}}
* WE: ~91/64 = 600.3825{{c}}, ~14/11 = 417.0678{{c}}
* POTE: ~91/64 = 600.000{{c}}, ~10/9 = 183.198{{c}}
* CWE: ~91/64 = 600.0000{{c}}, ~14/11 = 416.8290{{c}}
<!-- * CTE: ~91/64 = 600.000{{c}}, ~14/11 = 416.952{{c}}
* POTE: ~91/64 = 600.000{{c}}, ~14/11 = 416.802{{c}} -->


{{Optimal ET sequence|legend=0| 26, 46, 72, 190ff }}
{{Optimal ET sequence|legend=0| 26, 46, 72, 190ff }}


Badness (Smith): 0.017707
Badness (Sintel): 0.732


===== 17-limit =====
===== 17-limit =====
Line 1,887: Line 1,936:
Comma list: 169/168, 221/220, 273/272, 325/324, 364/363
Comma list: 169/168, 221/220, 273/272, 325/324, 364/363


Mapping: {{mapping| 2 5 8 5 6 8 10 | 0 -6 -11 2 3 -2 -6 }}
Mapping: {{mapping| 2 -1 -3 7 9 6 4 | 0 6 11 -2 -3 2 6 }}


Optimal tunings:  
Optimal tunings:  
* CTE: ~17/12 = 600.000{{c}}, ~10/9 = 183.020{{c}}
* WE: ~17/12 = 600.3991{{c}}, ~14/11 = 417.0809{{c}}
* POTE: ~17/12 = 600.000{{c}}, ~10/9 = 183.196{{c}}
* CWE: ~17/12 = 600.0000{{c}}, ~14/11 = 416.8330{{c}}
<!-- * CTE: ~17/12 = 600.000{{c}}, ~14/11 = 416.980{{c}}
* POTE: ~17/12 = 600.000{{c}}, ~14/11 = 416.804{{c}} -->


{{Optimal ET sequence|legend=0| 26, 46, 72, 190ffg }}
{{Optimal ET sequence|legend=0| 26, 46, 72, 190ffg }}


Badness (Smith): 0.011676
Badness (Sintel): 0.595


== Lagaca ==
== Lagaca ==
Line 1,902: Line 1,953:
[[Comma list]]: 1029/1024, 11529602/11390625
[[Comma list]]: 1029/1024, 11529602/11390625


{{Mapping|legend=1| 2 5 2 5 | 0 -9 13 3 }}
{{Mapping|legend=1| 2 -4 15 8 | 0 9 -13 -3 }}
 
: mapping generators: ~3375/2401, ~450/343
: mapping generators: ~3375/2401, ~15/14


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~3375/2401 = 600.000{{c}}, ~15/14 = 122.031{{c}}
* [[WE]]: ~3375/2401 = 600.1355{{c}}, ~450/343 = 478.0813{{c}}
: [[error map]]: {{val| +0.271 +0.235 +0.662 -1.986 }}
* [[CWE]]: ~3375/2401 = 600.000{{c}}, ~450/343 = 477.9725{{c}}
: error map: {{val| 0.000 -0.202 +0.043 -2.743 }}
<!-- * [[CTE]]: ~3375/2401 = 600.000{{c}}, ~450/343 = 477.969{{c}}
: [[error map]]: {{val| 0.000 -0.232 +0.087 -2.734 }}
: [[error map]]: {{val| 0.000 -0.232 +0.087 -2.734 }}
* [[POTE]]: ~3375/2401 = 600.000{{c}}, ~15/14 = 122.027{{c}}
* [[POTE]]: ~3375/2401 = 600.000{{c}}, ~450/343 = 477.973{{c}}
: error map: {{val| 0.000 -0.195 +0.033 -2.746 }}
: error map: {{val| 0.000 -0.195 +0.033 -2.746 }} -->


{{Optimal ET sequence|legend=1| 10, 98, 108, 118 }}
{{Optimal ET sequence|legend=1| 10, 98, 108, 118 }}


[[Badness]] (Smith): 0.144345
[[Badness]] (Sintel): 3.65
 
== Dee leap week ==
{{Main|Dee leap week}}
 
[[Subgroup]]: 2.3.5.7
 
[[Comma list]]: 1029/1024, 2460375/2458624
 
{{Mapping|legend=1| 1 4 -6 2 | 0 -9 31 3 }}
 
[[Optimal tuning]] ([[CTE]]): ~2 = 1200.000{{c}}, ~135/112 = 322.123{{c}}
 
=== 11-limit ===
Subgroup: 2.3.5.7.11
 
Comma list: 385/384, 441/440, 2460375/2458624
 
Mapping: {{mapping| 1 4 -6 2 15 | 0 -9 31 3 43 }}
 
Optimal tuning (CTE): ~2 = 1200.000{{c}}, ~135/112 = 322.097
 
{{Optimal ET sequence|legend=0| 41, 149, 190, 231 }}


== Necromanteion ==
== Necromanteion ==
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