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Gamelismic clan: Difference between revisions

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Switch to Sintel's badness, WE & CWE tunings, per community consensus (1/)
Switch to Sintel's badness, WE & CWE tunings, per community consensus (2/)
Line 224: Line 224:


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1200.000{{c}}, ~8/7 = 232.400{{c}}
* [[WE]]: ~2 = 1200.9303{{c}}, ~8/7 = 232.3733{{c}}
: [[error map]]: {{val| +0.930 -3.905 +2.165 +1.592 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~8/7 = 232.2514{{c}}
: error map: {{val| 0.000 -5.520 +0.703 -1.077 }}
<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~8/7 = 232.400{{c}}
: [[error map]]: {{val| 0.000 -4.756 +2.482 -1.226 }}
: [[error map]]: {{val| 0.000 -4.756 +2.482 -1.226 }}
* [[POTE]]: ~2 = 1200.000{{c}}, ~8/7 = 232.193{{c}}
* [[POTE]]: ~2 = 1200.000{{c}}, ~8/7 = 232.193{{c}}
: error map: {{val| 0.000 -5.375 +0.005 -1.019 }}
: error map: {{val| 0.000 -5.375 +0.005 -1.019 }} -->


[[Algebraic generator]]: Rabrindanath, largest real root of ''x''<sup>8</sup> - 3''x''<sup>2</sup> + 1, or 232.0774 cents.
[[Algebraic generator]]: Rabrindanath, largest real root of ''x''<sup>8</sup> - 3''x''<sup>2</sup> + 1, or 232.0774 cents.
Line 238: Line 242:
{{Optimal ET sequence|legend=1| 5, 21c, 26, 31 }}
{{Optimal ET sequence|legend=1| 5, 21c, 26, 31 }}


[[Badness]]:
[[Badness]] (Sintel): 0.940
* Smith: 0.037146
* Sintel: 0.940


=== Undecimal mothra ===
=== Undecimal mothra ===
Line 252: Line 254:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~8/7 = 232.203{{c}}
* WE: ~2 = 1201.3979{{c}}, ~8/7 = 232.3010{{c}}
* POTE: ~2 = 1200.000{{c}}, ~8/7 = 232.031{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~8/7 = 232.0621{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~8/7 = 232.203{{c}}
* POTE: ~2 = 1200.000{{c}}, ~8/7 = 232.031{{c}} -->


{{Optimal ET sequence|legend=0| 5, 26, 31, 88, 119be, 150be }}
{{Optimal ET sequence|legend=0| 5, 26, 31, 88, 119be, 150be }}


Badness:
Badness (Sintel): 0.848
* Smith: 0.025642
* Sintel: 0.848


==== 13-limit ====
==== 13-limit ====
Line 269: Line 271:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~8/7 = 231.993{{c}}
* WE: ~2 = 1201.0985{{c}}, ~8/7 = 232.0231{{c}}
* POTE: ~2 = 1200.000{{c}}, ~8/7 = 231.811{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~8/7 = 231.8425{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~8/7 = 231.993{{c}}
* POTE: ~2 = 1200.000{{c}}, ~8/7 = 231.811{{c}} -->


{{Optimal ET sequence|legend=0| 5, 26, 31, 57, 88 }}
{{Optimal ET sequence|legend=0| 5, 26, 31, 57, 88 }}


Badness:
Badness (Sintel): 0.990
* Smith: 0.023954
* Sintel: 0.990


; Music
; Music
Line 289: Line 291:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~8/7 = 231.891{{c}}
* WE: ~2 = 1200.9734{{c}}, ~8/7 = 231.8960{{c}}
* POTE: ~2 = 1200.000{{c}}, ~8/7 = 231.708{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~8/7 = 231.7392{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~8/7 = 231.891{{c}}
* POTE: ~2 = 1200.000{{c}}, ~8/7 = 231.708{{c}} -->


{{Optimal ET sequence|legend=0| 5g, 26, 31, 57, 88 }}
{{Optimal ET sequence|legend=0| 5g, 26, 31, 57, 88 }}


Badness (Sintel): 1.001
Badness (Sintel): 1.00


==== 19-limit ====
==== 19-limit ====
Line 304: Line 308:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~8/7 = 231.837{{c}}
* WE: ~2 = 1200.9663{{c}}, ~8/7 = 231.8393{{c}}
* POTE: ~2 = 1200.000{{c}}, ~8/7 = 231.653{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~8/7 = 231.6842{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~8/7 = 231.837{{c}}
* POTE: ~2 = 1200.000{{c}}, ~8/7 = 231.653{{c}} -->


{{Optimal ET sequence|legend=0| 5gh, 26, 31, 57 }}
{{Optimal ET sequence|legend=0| 26, 31, 57 }}


Badness (Sintel): 1.053
Badness (Sintel): 1.05


=== Mosura ===
=== Mosura ===
Line 321: Line 327:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~8/7 = 232.557{{c}}
* WE: ~2 = 1200.7675{{c}}, ~8/7 = 232.5673{{c}}
* POTE: ~2 = 1200.000{{c}}, ~8/7 = 232.419{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~8/7 = 232.4567{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~8/7 = 232.557{{c}}
* POTE: ~2 = 1200.000{{c}}, ~8/7 = 232.419{{c}} -->


{{Optimal ET sequence|legend=0| 5e, 26e, 31, 129 }}
{{Optimal ET sequence|legend=0| 5e, 26e, 31, 129 }}


Badness:
Badness (Sintel): 1.04
* Smith: 0.031334
* Sintel: 1.036


==== 13-limit ====
==== 13-limit ====
Line 338: Line 344:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~8/7 = 232.635{{c}}
* WE: ~2 = 1199.9347{{c}}, ~8/7 = 232.6275{{c}}
* POTE: ~2 = 1200.000{{c}}, ~8/7 = 232.640{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~8/7 = 232.6392{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~8/7 = 232.635{{c}}
* POTE: ~2 = 1200.000{{c}}, ~8/7 = 232.640{{c}} -->


{{Optimal ET sequence|legend=0| 31, 67, 98 }}
{{Optimal ET sequence|legend=0| 31, 67, 98 }}


Badness:
Badness (Sintel): 1.52
* Smith: 0.036857
* Sintel: 1.523


==== 17-limit ====
==== 17-limit ====
Line 355: Line 361:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~8/7 = 232.681{{c}}
* WE: ~2 = 1199.7124{{c}}, ~8/7 = 232.6376{{c}}
* POTE: ~2 = 1200.000{{c}}, ~8/7 = 232.693{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~8/7 = 232.6917{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~8/7 = 232.681{{c}}
* POTE: ~2 = 1200.000{{c}}, ~8/7 = 232.693{{c}} -->


{{Optimal ET sequence|legend=0| 31, 67, 98 }}
{{Optimal ET sequence|legend=0| 31, 67, 98 }}


Badness (Sintel): 1.527
Badness (Sintel): 1.53


==== 19-limit ====
==== 19-limit ====
Line 370: Line 378:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~8/7 = 232.717{{c}}
* WE: ~2 = 1199.4885{{c}}, ~8/7 = 232.6310{{c}}
* POTE: ~2 = 1200.000{{c}}, ~8/7 = 232.730{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~8/7 = 232.7287{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~8/7 = 232.717{{c}}
* POTE: ~2 = 1200.000{{c}}, ~8/7 = 232.730{{c}} -->


{{Optimal ET sequence|legend=0| 31, 67, 98h }}
{{Optimal ET sequence|legend=0| 31, 67, 98h }}


Badness (Sintel): 1.496
Badness (Sintel): 1.50


=== Cyndra ===
=== Cyndra ===
Line 385: Line 395:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~8/7 = 231.566{{c}}
* WE: ~2 = 1201.1585{{c}}, ~8/7 = 231.5404{{c}}
* POTE: ~2 = 1200.000{{c}}, ~8/7 = 231.317{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~8/7 = 231.3850{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~8/7 = 231.566{{c}}
* POTE: ~2 = 1200.000{{c}}, ~8/7 = 231.317{{c}} -->


{{Optimal ET sequence|legend=0| 5e, 21ce, 26 }}
{{Optimal ET sequence|legend=0| 5e, 21ce, 26 }}


Badness (Smith): 0.055706
Badness (Sintel): 1.84


==== 13-limit ====
==== 13-limit ====
Line 400: Line 412:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~8/7 = 231.546{{c}}
* WE: ~2 = 1201.1152{{c}}, ~8/7 = 231.5079{{c}}
* POTE: ~2 = 1200.000{{c}}, ~8/7 = 231.293{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~8/7 = 231.3612{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~8/7 = 231.546{{c}}
* POTE: ~2 = 1200.000{{c}}, ~8/7 = 231.293{{c}} -->


{{Optimal ET sequence|legend=0| 5e, 21cef, 26 }}
{{Optimal ET sequence|legend=0| 5e, 21cef, 26 }}


Badness (Smith): 0.034124
Badness (Sintel): 1.41


== Rodan ==
== Rodan ==
Line 420: Line 434:


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1200.000{{c}}, ~8/7 = 234.450{{c}}
* [[WE]]: ~2 = 1200.2146{{c}}, ~8/7 = 234.4587{{c}}
: [[error map]]: {{val| +0.215 +1.636 -0.731 -2.641 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~8/7 = 234.4259{{c}}
: error map: {{val| 0.000 +1.323 -1.073 -3.252 }}
<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~8/7 = 234.450{{c}}
: [[error map]]: {{val| 0.000 +1.396 -0.660 -3.276 }}
: [[error map]]: {{val| 0.000 +1.396 -0.660 -3.276 }}
* [[POTE]]: ~2 = 1200.000{{c}}, ~8/7 = 234.417{{c}}
* [[POTE]]: ~2 = 1200.000{{c}}, ~8/7 = 234.417{{c}}
: error map: {{val| 0.000 +1.295 -1.229 -3.243 }}
: error map: {{val| 0.000 +1.295 -1.229 -3.243 }} -->


[[Minimax tuning]]:  
[[Minimax tuning]]:  
Line 434: Line 452:
{{Optimal ET sequence|legend=1| 41, 87, 128, 215d }}
{{Optimal ET sequence|legend=1| 41, 87, 128, 215d }}


[[Badness]] (Smith): 0.037112
[[Badness]] (Sintel): 0.939


=== 11-limit ===
=== 11-limit ===
Line 444: Line 462:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~8/7 = 234.463{{c}}
* WE: ~2 = 1200.0553{{c}}, ~8/7 = 234.4695{{c}}
* POTE: ~2 = 1200.000{{c}}, ~8/7 = 234.459{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~8/7 = 234.4594{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~8/7 = 234.463{{c}}
* POTE: ~2 = 1200.000{{c}}, ~8/7 = 234.459{{c}} -->


Minimax tuning:  
Minimax tuning:  
Line 456: Line 476:
{{Optimal ET sequence|legend=0| 41, 87 }}
{{Optimal ET sequence|legend=0| 41, 87 }}


Badness (Smith): 0.023093
Badness (Sintel): 0.763


==== 13-limit ====
==== 13-limit ====
Line 466: Line 486:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~8/7 = 234.482{{c}}
* WE: ~2 = 1199.9868{{c}}, ~8/7 = 234.4796{{c}}
* POTE: ~2 = 1200.000{{c}}, ~8/7 = 234.482{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~8/7 = 234.4822{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~8/7 = 234.482{{c}}
* POTE: ~2 = 1200.000{{c}}, ~8/7 = 234.482{{c}} -->


Minimax tuning:  
Minimax tuning:  
Line 477: Line 499:
{{Optimal ET sequence|legend=0| 41, 46, 87 }}
{{Optimal ET sequence|legend=0| 41, 46, 87 }}


Badness (Smith): 0.018448
Badness (Sintel): 0.762


===== 17-limit =====
===== 17-limit =====
Line 487: Line 509:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~8/7 = 234.532{{c}}
* WE: ~2 = 1199.8331{{c}}, ~8/7 = 234.4919{{c}}
* POTE: ~2 = 1200.000{{c}}, ~8/7 = 234.524{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~8/7 = 234.5254{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~8/7 = 234.532{{c}}
* POTE: ~2 = 1200.000{{c}}, ~8/7 = 234.524{{c}} -->


Minimax tuning:
Minimax tuning:
Line 496: Line 520:
{{Optimal ET sequence|legend=0| 41, 46, 87 }}
{{Optimal ET sequence|legend=0| 41, 46, 87 }}


Badness (Smith): 0.016743
Badness (Sintel): 0.853


==== Aerodactyl ====
==== Aerodactyl ====
Line 506: Line 530:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~8/7 = 234.670{{c}}
* WE: ~2 = 1200.2997{{c}}, ~8/7 = 234.6972{{c}}
* POTE: ~2 = 1200.000{{c}}, ~8/7 = 234.639{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~8/7 = 234.6439{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~8/7 = 234.670{{c}}
* POTE: ~2 = 1200.000{{c}}, ~8/7 = 234.639{{c}} -->


{{Optimal ET sequence|legend=0| 5, 41f, 46 }}
{{Optimal ET sequence|legend=0| 5, 41f, 46 }}


Badness (Smith): 0.033986
Badness (Sintel): 1.40


=== Aerodino ===
=== Aerodino ===
Line 521: Line 547:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~8/7 = 234.719{{c}}
* WE: ~2 = 1199.9179{{c}}, ~8/7 = 234.7123{{c}}
* POTE: ~2 = 1200.000{{c}}, ~8/7 = 234.728{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~8/7 = 234.7256{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~8/7 = 234.719{{c}}
* POTE: ~2 = 1200.000{{c}}, ~8/7 = 234.728{{c}} -->


{{Optimal ET sequence|legend=0| 5e, 41e, 46 }}
{{Optimal ET sequence|legend=0| 5e, 41e, 46 }}


Badness (Smith): 0.054294
Badness (Sintel): 1.79


==== 13-limit ====
==== 13-limit ====
Line 536: Line 564:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~8/7 = 234.786{{c}}
* WE: ~2 = 1200.0242{{c}}, ~8/7 = 234.7863{{c}}
* POTE: ~2 = 1200.000{{c}}, ~8/7 = 234.782{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~8/7 = 234.7824{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~8/7 = 234.786{{c}}
* POTE: ~2 = 1200.000{{c}}, ~8/7 = 234.782{{c}} -->


{{Optimal ET sequence|legend=0| 5e, 41ef, 46 }}
{{Optimal ET sequence|legend=0| 5e, 41ef, 46 }}


Badness (Smith): 0.035836
Badness (Sintel): 1.48


=== Varan ===
=== Varan ===
Line 551: Line 581:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~8/7 = 234.197{{c}}
* WE: ~2 = 1200.3738{{c}}, ~8/7 = 234.2174{{c}}
* POTE: ~2 = 1200.000{{c}}, ~8/7 = 234.145{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~8/7 = 234.1586{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~8/7 = 234.197{{c}}
* POTE: ~2 = 1200.000{{c}}, ~8/7 = 234.145{{c}} -->


{{Optimal ET sequence|legend=0| 5e, 36ce, 41 }}
{{Optimal ET sequence|legend=0| 5e, 36ce, 41 }}


Badness (Smith): 0.044937
Badness (Sintel): 1.49


==== 13-limit ====
==== 13-limit ====
Line 566: Line 598:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~8/7 = 234.111{{c}}
* WE: ~2 = 1200.1389{{c}}, ~8/7 = 234.1162{{c}}
* POTE: ~2 = 1200.000{{c}}, ~8/7 = 234.089{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~8/7 = 234.0946{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~8/7 = 234.111{{c}}
* POTE: ~2 = 1200.000{{c}}, ~8/7 = 234.089{{c}} -->


{{Optimal ET sequence|legend=0| 5e, 36ce, 41 }}
{{Optimal ET sequence|legend=0| 5e, 36ce, 41 }}


Badness (Smith): 0.032284
Badness (Sintel): 1.33


== Guiron ==
== Guiron ==
Line 583: Line 617:


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1200.000{{c}}, ~8/7 = 233.903{{c}}
* [[WE]]: ~2 = 1200.3395{{c}}, ~8/7 = 233.9963{{c}}
: [[error map]]: {{val| +0.340 +0.374 +0.151 -1.804 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~8/7 = 233.9239{{c}}
: error map: {{val| 0.000 -0.183 -0.487 -2.750 }}
<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~8/7 = 233.903{{c}}
: [[error map]]: {{val| 0.000 -0.246 +0.012 -2.729 }}
: [[error map]]: {{val| 0.000 -0.246 +0.012 -2.729 }}
* [[POTE]]: ~2 = 1200.000{{c}}, ~8/7 = 233.930{{c}}
* [[POTE]]: ~2 = 1200.000{{c}}, ~8/7 = 233.930{{c}}
: error map: {{val| 0.000 -0.165 -0.637 -2.756 }}
: error map: {{val| 0.000 -0.165 -0.637 -2.756 }} -->


[[Minimax tuning]]:
[[Minimax tuning]]:
Line 595: Line 633:
{{Optimal ET sequence|legend=1| 36, 41, 77, 118, 277d }}
{{Optimal ET sequence|legend=1| 36, 41, 77, 118, 277d }}


[[Badness]] (Smith): 0.047544
[[Badness]] (Sintel): 1.20


=== 11-limit ===
=== 11-limit ===
Line 605: Line 643:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~8/7 = 233.930{{c}}
* WE: ~2 = 1200.3453{{c}}, ~8/7 = 233.9988{{c}}
* POTE: ~2 = 1200.000{{c}}, ~8/7 = 233.931{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~8/7 = 233.9312{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~8/7 = 233.930{{c}}
* POTE: ~2 = 1200.000{{c}}, ~8/7 = 233.931{{c}} -->


Minimax tuning:
Minimax tuning:
Line 615: Line 655:
{{Optimal ET sequence|legend=0| 36e, 41, 77, 118, 159, 277d }}
{{Optimal ET sequence|legend=0| 36e, 41, 77, 118, 159, 277d }}


Badness (Smith): 0.026648
Badness (Sintel): 0.881


=== 13-limit ===
=== 13-limit ===
Line 625: Line 665:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~8/7 = 233.902{{c}}
* WE: ~2 = 1200.1222{{c}}, ~8/7 = 233.9228{{c}}
* POTE: ~2 = 1200.000{{c}}, ~8/7 = 233.899{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~8/7 = 233.8994{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~8/7 = 233.902{{c}}
* POTE: ~2 = 1200.000{{c}}, ~8/7 = 233.899{{c}} -->


{{Optimal ET sequence|legend=0| 36e, 41, 77, 118 }}
{{Optimal ET sequence|legend=0| 36e, 41, 77, 118 }}


Badness (Smith): 0.028444
Badness (Sintel): 1.18


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