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Sensipent family: Difference between revisions

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→Sensei: optimal ET sequence
Review tuning and optimal ET sequence
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{{Multival|legend=1| 7 9 13 -2 1 5 }}
{{Multival|legend=1| 7 9 13 -2 1 5 }}


[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~9/7 = 443.383
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~9/7 = 443.3166


[[Minimax tuning]]:  
[[Minimax tuning]]:  
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* 7-odd-limit [[diamond tradeoff]]: ~9/7 = [442.179, 445.628]
* 7-odd-limit [[diamond tradeoff]]: ~9/7 = [442.179, 445.628]
* 9-odd-limit diamond tradeoff: ~9/7 = [435.084, 445.628]
* 9-odd-limit diamond tradeoff: ~9/7 = [435.084, 445.628]
* 7-odd-limit diamond monotone and tradeoff: ~9/7 = [442.179, 445.628]
* 9-odd-limit diamond monotone and tradeoff: ~9/7 = [442.105, 444.444]


[[Algebraic generator]]: The real root of ''x''<sup>5</sup> + ''x''<sup>4</sup> - 4''x''<sup>2</sup> + ''x'' - 1, at 443.3783 cents.
[[Algebraic generator]]: The real root of ''x''<sup>5</sup> + ''x''<sup>4</sup> - 4''x''<sup>2</sup> + ''x'' - 1, at 443.3783 cents.


{{Optimal ET sequence|legend=1| 19, 27, 46, 157d, 203cd, 249cdd, 295ccdd }}
{{Optimal ET sequence|legend=1| 19, 27, 46 }}


[[Badness]]: 0.025622
[[Badness]]: 0.025622
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Gencom mapping: {{mapping| 1 6 8 11 0 10 | 0 -7 -9 -13 0 -10 }}
Gencom mapping: {{mapping| 1 6 8 11 0 10 | 0 -7 -9 -13 0 -10 }}


Gencom: [2 14/9; 91/90 126/125 169/168]
: gencom: [2 14/9; 91/90 126/125 169/168]


Optimal tuning (POTE): ~2 = 1\1, ~9/7 = 443.322
Optimal tuning (CTE): ~2 = 1\1, ~9/7 = 443.4016


{{Optimal ET sequence|legend=1| 19, 27, 46, 111de, 157de }}
{{Optimal ET sequence|legend=1| 19, 27, 46, 111df }}


=== Sensor ===
=== Sensor ===
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Mapping: {{mapping| 1 6 8 11 -6 | 0 -7 -9 -13 15 }}
Mapping: {{mapping| 1 6 8 11 -6 | 0 -7 -9 -13 15 }}


Optimal tuning (POTE): ~2 = 1\1, ~9/7 = 443.294
Optimal tuning (CTE): ~2 = 1\1, ~9/7 = 443.2987


{{Optimal ET sequence|legend=1| 19, 27, 46, 111d, 157d, 268cdd }}
{{Optimal ET sequence|legend=1| 19, 27, 46, 111d }}


Badness: 0.037942
Badness: 0.037942
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Mapping: {{mapping| 1 6 8 11 -6 10 | 0 -7 -9 -13 15 -10 }}
Mapping: {{mapping| 1 6 8 11 -6 10 | 0 -7 -9 -13 15 -10 }}


Optimal tuning (POTE): ~2 = 1\1, ~9/7 = 443.321
Optimal tuning (CTE): ~2 = 1\1, ~9/7 = 443.3658


{{Optimal ET sequence|legend=1| 19, 27, 46, 111df, 157df }}
{{Optimal ET sequence|legend=1| 19, 27, 46, 111df }}


Badness: 0.025575
Badness: 0.025575
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Mapping: {{mapping| 1 6 8 11 -6 10 -6 | 0 -7 -9 -13 15 -10 16 }}
Mapping: {{mapping| 1 6 8 11 -6 10 -6 | 0 -7 -9 -13 15 -10 16 }}


Optimal tuning (POTE): ~2 = 1\1, ~9/7 = 443.365
Optimal tuning (CTE): ~2 = 1\1, ~9/7 = 443.3775


{{Optimal ET sequence|legend=1| 19, 27, 46, 157df, 203cdff, 249cddff }}
{{Optimal ET sequence|legend=1| 19, 27, 46 }}


Badness: 0.022908
Badness: 0.022908
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Mapping: {{mapping| 1 6 8 11 23 | 0 -7 -9 -13 -31 }}
Mapping: {{mapping| 1 6 8 11 23 | 0 -7 -9 -13 -31 }}


Optimal tuning (POTE): ~2 = 1\1, ~9/7 = 443.626
Optimal tuning (CTE): ~2 = 1\1, ~9/7 = 443.4783


{{Optimal ET sequence|legend=1| 19e, 27e, 46, 119c, 165c }}
{{Optimal ET sequence|legend=1| 19e, 27e, 46, 119c }}


Badness: 0.029486
Badness: 0.029486
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Mapping: {{mapping| 1 6 8 11 23 10 | 0 -7 -9 -13 -31 -10 }}
Mapping: {{mapping| 1 6 8 11 23 10 | 0 -7 -9 -13 -31 -10 }}


Optimal tuning (POTE): ~2 = 1\1, ~9/7 = 443.559
Optimal tuning (CTE): ~2 = 1\1, ~9/7 = 443.5075


{{Optimal ET sequence|legend=1| 19e, 27e, 46, 165cf, 211bccf, 257bccff, 303bccdff }}
{{Optimal ET sequence|legend=1| 19e, 27e, 46 }}


Badness: 0.020789
Badness: 0.020789
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Mapping: {{mapping| 1 6 8 11 23 10 23 | 0 -7 -9 -13 -31 -10 -30 }}
Mapping: {{mapping| 1 6 8 11 23 10 23 | 0 -7 -9 -13 -31 -10 -30 }}


Optimal tuning (POTE): ~2 = 1\1, ~9/7 = 443.551
Optimal tuning (CTE): ~2 = 1\1, ~9/7 = 443.5050


{{Optimal ET sequence|legend=1| 19eg, 27eg, 46 }}
{{Optimal ET sequence|legend=1| 19eg, 27eg, 46 }}
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Mapping: {{mapping| 1 6 8 11 6 | 0 -7 -9 -13 -4 }}
Mapping: {{mapping| 1 6 8 11 6 | 0 -7 -9 -13 -4 }}


Optimal tuning (POTE): ~2 = 1\1, ~9/7 = 443.962
Optimal tuning (CTE): ~2 = 1\1, ~9/7 = 443.1886


{{Optimal ET sequence|legend=1| 8d, 19, 27e, 73ee }}
{{Optimal ET sequence|legend=1| 8d, 19, 27e }}


Badness: 0.028680
Badness: 0.028680
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Mapping: {{mapping| 1 6 8 11 6 10 | 0 -7 -9 -13 -4 -10 }}
Mapping: {{mapping| 1 6 8 11 6 10 | 0 -7 -9 -13 -4 -10 }}


Optimal tuning (POTE): ~2 = 1\1, ~9/7 = 443.945
Optimal tuning (CTE): ~2 = 1\1, ~9/7 = 443.2863


{{Optimal ET sequence|legend=1| 19, 27e, 46e, 73ee }}
{{Optimal ET sequence|legend=1| 8d, 19, 27e }}


Badness: 0.020017
Badness: 0.020017
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Mapping: {{mapping| 1 6 8 11 11 | 0 -7 -9 -13 -12 }}
Mapping: {{mapping| 1 6 8 11 11 | 0 -7 -9 -13 -12 }}


Optimal tuning (POTE): ~2 = 1\1, ~9/7 = 443.518
Optimal tuning (CTE): ~2 = 1\1, ~9/7 = 443.7814


{{Optimal ET sequence|legend=1| 19e, 27, 46ee }}
{{Optimal ET sequence|legend=1| 8d, 19e, 27 }}


Badness: 0.036835
Badness: 0.036835
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Mapping: {{mapping| 1 6 8 11 11 11 | 0 -7 -9 -13 -12 -11 }}
Mapping: {{mapping| 1 6 8 11 11 11 | 0 -7 -9 -13 -12 -11 }}


Optimal tuning (POTE): ~2 = 1\1, ~9/7 = 443.506
Optimal tuning (CTE): ~2 = 1\1, ~9/7 = 443.7877


{{Optimal ET sequence|legend=1| 19e, 27, 46ee }}
{{Optimal ET sequence|legend=1| 8d, 19e, 27 }}


Badness: 0.023258
Badness: 0.023258
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: mapping generators: ~99/70, ~11/10
: mapping generators: ~99/70, ~11/10


Optimal tuning (POTE): ~99/70 = 1\2, ~11/10 = 156.692
Optimal tuning (CTE): ~99/70 = 1\2, ~11/10 = 156.6312


{{Optimal ET sequence|legend=1| 8d, …, 38d, 46, 176dde, 222cdde, 268cddee }}
{{Optimal ET sequence|legend=1| 8d, …, 38d, 46 }}


Badness: 0.041723
Badness: 0.041723
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Mapping: {{mapping| 2 5 7 9 9 10 | 0 -7 -9 -13 -8 -10 }}
Mapping: {{mapping| 2 5 7 9 9 10 | 0 -7 -9 -13 -8 -10 }}


Optimal tuning (POTE): ~55/39 = 1\2, ~11/10 = 156.725
Optimal tuning (CTE): ~55/39 = 1\2, ~11/10 = 156.5584


{{Optimal ET sequence|legend=1| 8d, …, 38df, 46 }}
{{Optimal ET sequence|legend=1| 8d, …, 38df, 46 }}
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Mapping: {{mapping| 2 5 7 9 9 10 10 | 0 -7 -9 -13 -8 -10 -7 }}
Mapping: {{mapping| 2 5 7 9 9 10 10 | 0 -7 -9 -13 -8 -10 -7 }}


Optimal tuning (POTE): ~17/12 = 1\2, ~11/10 = 156.7158
Optimal tuning (CTE): ~17/12 = 1\2, ~11/10 = 156.5534


{{Optimal ET sequence|legend=1| 8d, …, 38df, 46 }}
{{Optimal ET sequence|legend=1| 8d, …, 38df, 46 }}
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: mapping generators: ~2, ~44/25
: mapping generators: ~2, ~44/25


Optimal tuning (POTE): ~2 = 1\1, ~25/22 = 221.605
Optimal tuning (CTE): ~2 = 1\1, ~25/22 = 221.5981


{{Optimal ET sequence|legend=1| 27e, 38d, 65, 157de, 222cde }}
{{Optimal ET sequence|legend=1| 27e, 38d, 65 }}


Badness: 0.048714
Badness: 0.048714
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Mapping: {{mapping| 1 13 17 24 32 30 | 0 -14 -18 -26 -35 -30 }}
Mapping: {{mapping| 1 13 17 24 32 30 | 0 -14 -18 -26 -35 -30 }}


Optimal tuning (POTE): ~2 = 1\1, ~25/22 = 221.556
Optimal tuning (CTE): ~2 = 1\1, ~25/22 = 221.6333


{{Optimal ET sequence|legend=1| 27e, 38df, 65f }}
{{Optimal ET sequence|legend=1| 27e, 38df, 65f }}
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