Sensamagic family: Difference between revisions

Cmloegcmluin (talk | contribs)
unchanged interval → unchanged-interval
Cmloegcmluin (talk | contribs)
"optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence
Line 28: Line 28:
: [[Eigenmonzo]]s (unchanged-intervals): 2, 4/3, 7/5  
: [[Eigenmonzo]]s (unchanged-intervals): 2, 4/3, 7/5  


{{Val list|legend=1| 5, 8d, 14c, 17, 19, 27, 41, 68, 87, 128, 196, 283 }}
{{Optimal ET sequence|legend=1| 5, 8d, 14c, 17, 19, 27, 41, 68, 87, 128, 196, 283 }}


[[Badness]]: 0.129 × 10<sup>-3</sup>
[[Badness]]: 0.129 × 10<sup>-3</sup>
Line 63: Line 63:
: [[Eigenmonzo]]s (unchanged-intervals): 2, 11/9, 7/5
: [[Eigenmonzo]]s (unchanged-intervals): 2, 11/9, 7/5


{{Val list|legend=1| 17, 19, 22, 41, 68, 87, 196, 283, 607bd, 694bd }}
{{Optimal ET sequence|legend=1| 17, 19, 22, 41, 68, 87, 196, 283, 607bd, 694bd }}


[[Badness]]: 0.722 × 10<sup>-3</sup>
[[Badness]]: 0.722 × 10<sup>-3</sup>
Line 76: Line 76:
Mapping: [{{val| 1 0 0 0 7 12 }}, {{val| 0 1 1 2 -2 -5 }}, {{val| 0 0 2 -1 -1 -1 }}]
Mapping: [{{val| 1 0 0 0 7 12 }}, {{val| 0 1 1 2 -2 -5 }}, {{val| 0 0 2 -1 -1 -1 }}]


Optimal GPV sequence: {{Val list| 17, 22, 41, 46, 63, 87, 237, 283, 324d, 370bd, 411bd, 607bd, 694bd }}
{{Optimal ET sequence|legend=1| 17, 22, 41, 46, 63, 87, 237, 283, 324d, 370bd, 411bd, 607bd, 694bd }}


Badness: 1.20 × 10<sup>-3</sup>
Badness: 1.20 × 10<sup>-3</sup>
Line 89: Line 89:
[[Optimal tuning]] ([[POTE]]): ~3/2 = 703.1900, ~9/7 = 441.1359
[[Optimal tuning]] ([[POTE]]): ~3/2 = 703.1900, ~9/7 = 441.1359


{{Val list|legend=1| 14c, 19e, 27e, 41, 60e, 87, 302d, 389d, 476bd }}
{{Optimal ET sequence|legend=1| 14c, 19e, 27e, 41, 60e, 87, 302d, 389d, 476bd }}


[[Badness]]: 0.796 × 10<sup>-3</sup>
[[Badness]]: 0.796 × 10<sup>-3</sup>
Line 100: Line 100:
Mapping: [{{val| 1 0 0 0 -3 2 }}, {{val| 0 1 1 2 5 2 }}, {{val| 0 0 2 -1 -4 -4 }}]
Mapping: [{{val| 1 0 0 0 -3 2 }}, {{val| 0 1 1 2 5 2 }}, {{val| 0 0 2 -1 -4 -4 }}]


Optimal GPV sequence: {{Val list| 14c, 19e, 27e, 41, 46, 60e, 68e, 87, 522bd }}
{{Optimal ET sequence|legend=1| 14c, 19e, 27e, 41, 46, 60e, 68e, 87, 522bd }}


Badness: 0.928 × 10<sup>-3</sup>
Badness: 0.928 × 10<sup>-3</sup>
Line 113: Line 113:
[[Optimal tuning]] ([[POTE]]): ~3/2 = 705.0464, ~9/7 = 439.5050
[[Optimal tuning]] ([[POTE]]): ~3/2 = 705.0464, ~9/7 = 439.5050


{{Val list|legend=1| 8d, 14c, 19, 22, 27e, 41, 104, 131e }}
{{Optimal ET sequence|legend=1| 8d, 14c, 19, 22, 27e, 41, 104, 131e }}


[[Badness]]: 0.581 × 10<sup>-3</sup>
[[Badness]]: 0.581 × 10<sup>-3</sup>
Line 128: Line 128:
[[Optimal tuning]] ([[POTE]]): ~3/2 = 706.3702, ~9/7 = 442.1147
[[Optimal tuning]] ([[POTE]]): ~3/2 = 706.3702, ~9/7 = 442.1147


{{Val list|legend=1| 22, 46, 68, 95, 141bc, 163bc, 209bc, 350bc }}
{{Optimal ET sequence|legend=1| 22, 46, 68, 95, 141bc, 163bc, 209bc, 350bc }}


[[Badness]]: 0.877 × 10<sup>-3</sup>
[[Badness]]: 0.877 × 10<sup>-3</sup>
Line 139: Line 139:
Mapping: [{{val| 1 0 0 0 -4 1 }}, {{val| 0 1 1 2 4 1 }}, {{val| 0 0 2 -1 3 3 }}]
Mapping: [{{val| 1 0 0 0 -4 1 }}, {{val| 0 1 1 2 4 1 }}, {{val| 0 0 2 -1 3 3 }}]


Optimal GPV sequence: {{Val list| 22, 46, 211bcf, 233bcf, 257bcf, 279bcf }}
{{Optimal ET sequence|legend=1| 22, 46, 211bcf, 233bcf, 257bcf, 279bcf }}


Badness: 1.125 × 10<sup>-3</sup>
Badness: 1.125 × 10<sup>-3</sup>
Line 154: Line 154:
[[Optimal tuning]] ([[POTE]]): ~3/2 = 703.0884, ~9/7 = 441.1060
[[Optimal tuning]] ([[POTE]]): ~3/2 = 703.0884, ~9/7 = 441.1060


{{Val list|legend=1| 22, 46, 68, 82e, 106de, 114, 128e }}
{{Optimal ET sequence|legend=1| 22, 46, 68, 82e, 106de, 114, 128e }}


[[Badness]]: 1.089 × 10<sup>-3</sup>
[[Badness]]: 1.089 × 10<sup>-3</sup>
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Mapping generators: ~2, ~9/7, ~11
Mapping generators: ~2, ~9/7, ~11


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


Badness: 0.939 × 10<sup>-3</sup>
Badness: 0.939 × 10<sup>-3</sup>
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Mapping: [{{val| 1 6 8 11 0 10 0 }}, {{val| 0 -7 -9 -13 0 -10 1 }}, {{val| 0 0 0 0 1 0 1 }}]
Mapping: [{{val| 1 6 8 11 0 10 0 }}, {{val| 0 -7 -9 -13 0 -10 1 }}, {{val| 0 0 0 0 1 0 1 }}]


Optimal GPV sequence: {{Val list| 19, 27, 46 }}
{{Optimal ET sequence|legend=1| 19, 27, 46 }}


[[Category:Temperament families]]
[[Category:Temperament families]]
[[Category:Sensamagic family| ]] <!-- main article -->
[[Category:Sensamagic family| ]] <!-- main article -->
[[Category:Rank 3]]
[[Category:Rank 3]]