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Sensipent family: 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 223: Line 223:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.0000{{c}}, ~9/7 = 443.2987{{c}}
* WE: ~2 = 1200.0367{{c}}, ~9/7 = 443.3074{{c}}
* POTE: ~2 = 1200.000{{c}}, ~9/7 = 443.294{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~9/7 = 443.2947{{c}}
<!-- * CTE: ~2 = 1200.0000{{c}}, ~9/7 = 443.2987{{c}}
* POTE: ~2 = 1200.000{{c}}, ~9/7 = 443.294{{c}} -->


{{Optimal ET sequence|legend=0| 19, 27, 46, 111d }}
{{Optimal ET sequence|legend=0| 19, 27, 46, 111d }}


Badness (Smith): 0.037942
Badness (Sintel): 1.25


==== 13-limit ====
==== 13-limit ====
Line 238: Line 240:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.0000{{c}}, ~9/7 = 443.3658{{c}}
* WE: ~2 = 1200.3171{{c}}, ~9/7 = 443.4382{{c}}
* POTE: ~2 = 1200.000{{c}}, ~9/7 = 443.321{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~9/7 = 443.3290{{c}}
<!-- * CTE: ~2 = 1200.0000{{c}}, ~9/7 = 443.3658{{c}}
* POTE: ~2 = 1200.000{{c}}, ~9/7 = 443.321{{c}} -->


{{Optimal ET sequence|legend=0| 19, 27, 46, 111df }}
{{Optimal ET sequence|legend=0| 19, 27, 46, 111df }}


Badness (Smith): 0.025575
Badness (Sintel): 1.06


==== 17-limit ====
==== 17-limit ====
Line 253: Line 257:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.0000{{c}}, ~9/7 = 443.3775{{c}}
* WE: ~2 = 1200.1572{{c}}, ~9/7 = 443.4230{{c}}
* POTE: ~2 = 1200.000{{c}}, ~9/7 = 443.365{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~9/7 = 443.3666{{c}}
<!-- * CTE: ~2 = 1200.0000{{c}}, ~9/7 = 443.3775{{c}}
* POTE: ~2 = 1200.000{{c}}, ~9/7 = 443.365{{c}} -->


{{Optimal ET sequence|legend=0| 19, 27, 46 }}
{{Optimal ET sequence|legend=0| 19, 27, 46 }}


Badness (Smith): 0.022908
Badness (Sintel): 1.17


=== Sensus ===
=== Sensus ===
Line 270: Line 276:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.0000{{c}}, ~9/7 = 443.4783{{c}}
* WE: ~2 = 1199.0709{{c}}, ~9/7 = 443.2830{{c}}
* POTE: ~2 = 1200.000{{c}}, ~9/7 = 443.626{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~9/7 = 443.5664{{c}}
<!-- * CTE: ~2 = 1200.0000{{c}}, ~9/7 = 443.4783{{c}}
* POTE: ~2 = 1200.000{{c}}, ~9/7 = 443.626{{c}} -->


{{Optimal ET sequence|legend=0| 19e, 27e, 46, 119c }}
{{Optimal ET sequence|legend=0| 19e, 27e, 46, 119c }}


Badness (Smith): 0.029486
Badness (Sintel): 0.975


==== 13-limit ====
==== 13-limit ====
Line 285: Line 293:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.0000{{c}}, ~9/7 = 443.5075{{c}}
* WE: ~2 = 1199.6887{{c}}, ~9/7 = 443.4441{{c}}
* POTE: ~2 = 1200.000{{c}}, ~9/7 = 443.559{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~9/7 = 443.5400{{c}}
<!-- * CTE: ~2 = 1200.0000{{c}}, ~9/7 = 443.5075{{c}}
* POTE: ~2 = 1200.000{{c}}, ~9/7 = 443.559{{c}} -->


{{Optimal ET sequence|legend=0| 19e, 27e, 46 }}
{{Optimal ET sequence|legend=0| 19e, 27e, 46 }}


Badness (Smith): 0.020789
Badness (Sintel): 0.859


==== 17-limit ====
==== 17-limit ====
Line 300: Line 310:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.0000{{c}}, ~9/7 = 443.5050{{c}}
* WE: ~2 = 1199.7033{{c}}, ~9/7 = 443.4418{{c}}
* POTE: ~2 = 1200.000{{c}}, ~9/7 = 443.551{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~9/7 = 443.5345{{c}}
<!-- * CTE: ~2 = 1200.0000{{c}}, ~9/7 = 443.5050{{c}}
* POTE: ~2 = 1200.000{{c}}, ~9/7 = 443.551{{c}} -->


{{Optimal ET sequence|legend=0| 19eg, 27eg, 46 }}
{{Optimal ET sequence|legend=0| 19eg, 27eg, 46 }}


Badness (Smith): 0.016238
Badness (Sintel): 0.827


=== Sensis ===
=== Sensis ===
Line 317: Line 329:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.0000{{c}}, ~9/7 = 443.1886{{c}}
* WE: ~2 = 1196.8330{{c}}, ~9/7 = 443.7907{{c}}
* POTE: ~2 = 1200.000{{c}}, ~9/7 = 443.962{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~9/7 = 443.6554{{c}}
<!-- * CTE: ~2 = 1200.0000{{c}}, ~9/7 = 443.1886{{c}}
* POTE: ~2 = 1200.000{{c}}, ~9/7 = 443.962{{c}} -->


{{Optimal ET sequence|legend=0| 8d, 19, 27e }}
{{Optimal ET sequence|legend=0| 8d, 19, 27e }}


Badness (Smith): 0.028680
Badness (Sintel): 0.948


==== 13-limit ====
==== 13-limit ====
Line 332: Line 346:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.0000{{c}}, ~9/7 = 443.2863{{c}}
* WE: ~2 = 1197.4337{{c}}, ~9/7 = 442.9960{{c}}
* POTE: ~2 = 1200.000{{c}}, ~9/7 = 443.945{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~9/7 = 443.6925{{c}}
<!-- * CTE: ~2 = 1200.0000{{c}}, ~9/7 = 443.2863{{c}}
* POTE: ~2 = 1200.000{{c}}, ~9/7 = 443.945{{c}} -->


{{Optimal ET sequence|legend=0| 8d, 19, 27e }}
{{Optimal ET sequence|legend=0| 8d, 19, 27e }}


Badness (Smith): 0.020017
Badness (Sintel): 0.827


=== Sensa ===
=== Sensa ===
Line 349: Line 365:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.0000{{c}}, ~9/7 = 443.7814{{c}}
* WE: ~2 = 1201.0322{{c}}, ~9/7 = 443.8994{{c}}
* POTE: ~2 = 1200.000{{c}}, ~9/7 = 443.518{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~9/7 = 443.6392{{c}}
<!-- * CTE: ~2 = 1200.0000{{c}}, ~9/7 = 443.7814{{c}}
* POTE: ~2 = 1200.000{{c}}, ~9/7 = 443.518{{c}} -->


{{Optimal ET sequence|legend=0| 8d, 19e, 27 }}
{{Optimal ET sequence|legend=0| 8d, 19e, 27 }}


Badness (Smith): 0.036835
Badness (Sintel): 1.22


==== 13-limit ====
==== 13-limit ====
Line 364: Line 382:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.0000{{c}}, ~9/7 = 443.7877{{c}}
* WE: ~2 = 1201.1279{{c}}, ~9/7 = 443.9232{{c}}
* POTE: ~2 = 1200.000{{c}}, ~9/7 = 443.506{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~9/7 = 443.6386{{c}}
<!-- * CTE: ~2 = 1200.0000{{c}}, ~9/7 = 443.7877{{c}}
* POTE: ~2 = 1200.000{{c}}, ~9/7 = 443.506{{c}} -->


{{Optimal ET sequence|legend=0| 8d, 19e, 27 }}
{{Optimal ET sequence|legend=0| 8d, 19e, 27 }}


Badness (Smith): 0.023258
Badness (Sintel): 0.961


=== Bisensi ===
=== Bisensi ===
Line 385: Line 405:


Optimal tunings:  
Optimal tunings:  
* CTE: ~99/70 = 600.0000{{c}}, ~9/7 = 443.3688{{c}} (~11/10 = 156.6312{{c}})
* WE: ~99/70 = 600.1183{{c}}, ~9/7 = 443.3956{{c}} (~11/10 = 156.7227{{c}})
* POTE: ~99/70 = 600.000{{c}}, ~9/7 = 443.308{{c}} (~11/10 = 156.692{{c}})
* CWE: ~99/70 = 600.0000{{c}}, ~9/7 = 443.3348{{c}} (~11/10 = 156.6652{{c}})
<!-- * CTE: ~99/70 = 600.0000{{c}}, ~9/7 = 443.3688{{c}} (~11/10 = 156.6312{{c}})
* POTE: ~99/70 = 600.000{{c}}, ~9/7 = 443.308{{c}} (~11/10 = 156.692{{c}}) -->


{{Optimal ET sequence|legend=0| 8d, …, 38d, 46 }}
{{Optimal ET sequence|legend=0| 8d, …, 38d, 46 }}


Badness (Smith): 0.041723
Badness (Sintel): 1.38


==== 13-limit ====
==== 13-limit ====
Line 399: Line 421:
Mapping:  
Mapping:  
* common form: {{mapping| 2 -2 -2 -4 1 0 | 0 7 9 13 8 10}}
* common form: {{mapping| 2 -2 -2 -4 1 0 | 0 7 9 13 8 10}}
:: mapping generators: ~99/70, ~9/7
:: mapping generators: ~55/39, ~9/7
* mingen form: {{mapping| 2 5 7 9 9 10 | 0 -7 -9 -13 -8 -10 }}
* mingen form: {{mapping| 2 5 7 9 9 10 | 0 -7 -9 -13 -8 -10 }}
:: mapping generators: ~99/70, ~11/10
:: mapping generators: ~55/39, ~11/10


Optimal tunings:  
Optimal tunings:  
* CTE: ~55/39 = 600.0000{{c}}, ~9/7 = 443.4416{{c}} (~11/10 = 156.5584{{c}})
* WE: ~55/39 = 600.1183{{c}}, ~9/7 = 443.5071{{c}} (~11/10 = 156.8074{{c}})
* POTE: ~55/39 = 600.000{{c}}, ~9/7 = 443.275{{c}} (~11/10 = 156.725{{c}})
* CWE: ~55/39 = 600.0000{{c}}, ~9/7 = 443.3459{{c}} (~11/10 = 156.6541{{c}})
<!-- * CTE: ~55/39 = 600.0000{{c}}, ~9/7 = 443.4416{{c}} (~11/10 = 156.5584{{c}})
* POTE: ~55/39 = 600.000{{c}}, ~9/7 = 443.275{{c}} (~11/10 = 156.725{{c}}) -->


{{Optimal ET sequence|legend=0| 8d, …, 38df, 46 }}
{{Optimal ET sequence|legend=0| 8d, …, 38df, 46 }}


Badness (Smith): 0.026339
Badness (Sintel): 1.09


==== 17-limit ====
==== 17-limit ====
Line 418: Line 442:
Mapping:  
Mapping:  
* common form: {{mapping| 2 -2 -2 -4 1 0 3 | 0 7 9 13 8 10 7}}
* common form: {{mapping| 2 -2 -2 -4 1 0 3 | 0 7 9 13 8 10 7}}
:: mapping generators: ~99/70, ~9/7
:: mapping generators: ~17/12, ~9/7
* mingen form: {{mapping| 2 5 7 9 9 10 10 | 0 -7 -9 -13 -8 -10 -7 }}
* mingen form: {{mapping| 2 5 7 9 9 10 10 | 0 -7 -9 -13 -8 -10 -7 }}
:: mapping generators: ~99/70, ~11/10
:: mapping generators: ~17/12, ~11/10


Optimal tunings:  
Optimal tunings:  
* CTE: ~17/12 = 600.0000{{c}}, ~9/7 = 443.4466{{c}} (~11/10 = 156.5534{{c}})
* WE: ~17/12 = 600.2912{{c}}, ~9/7 = 443.4993{{c}} (~11/10 = 156.7919{{c}})
* CWE: ~17/12 = 600.0000{{c}}, ~9/7 = 443.3456{{c}} (~11/10 = 156.6544{{c}})
<!-- * CTE: ~17/12 = 600.0000{{c}}, ~9/7 = 443.4466{{c}} (~11/10 = 156.5534{{c}}) -->


{{Optimal ET sequence|legend=0| 8d, …, 38df, 46 }}
{{Optimal ET sequence|legend=0| 8d, …, 38df, 46 }}


Badness (Smith): 0.0188
Badness (Sintel): 0.960


=== Hemisensi ===
=== Hemisensi ===
Line 441: Line 467:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.0000{{c}}, ~25/22 = 221.5981{{c}}
* WE: ~2 = 1199.9253{{c}}, ~25/22 = 221.5916{{c}}
* POTE: ~2 = 1200.000{{c}}, ~25/22 = 221.605{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~25/22 = 221.6014{{c}}
<!-- * CTE: ~2 = 1200.0000{{c}}, ~25/22 = 221.5981{{c}}
* POTE: ~2 = 1200.000{{c}}, ~25/22 = 221.605{{c}} -->


{{Optimal ET sequence|legend=0| 27e, 38d, 65 }}
{{Optimal ET sequence|legend=0| 27e, 38d, 65 }}


Badness (Smith): 0.048714
Badness (Sintel): 1.61


==== 13-limit ====
==== 13-limit ====
Line 456: Line 484:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.0000{{c}}, ~25/22 = 221.6333{{c}}
* WE: ~2 = 1200.6518{{c}}, ~25/22 = 221.6764{{c}}
* POTE: ~2 = 1200.000{{c}}, ~25/22 = 221.556{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~25/22 = 221.5908{{c}}
<!-- * CTE: ~2 = 1200.0000{{c}}, ~25/22 = 221.6333{{c}}
* POTE: ~2 = 1200.000{{c}}, ~25/22 = 221.556{{c}} -->


{{Optimal ET sequence|legend=0| 27e, 38df, 65f }}
{{Optimal ET sequence|legend=0| 27e, 38df, 65f }}


Badness (Smith): 0.033016
Badness (Sintel): 1.36


== Sensei ==
== Sensei ==
Retrieved from "https://en.xen.wiki/w/Sensipent_family"