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Orwellismic temperaments: Difference between revisions

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{{Mapping|legend=1| 2 1 0 5 | 0 7 15 2 }}
{{Mapping|legend=1| 2 1 0 5 | 0 7 15 2 }}


: mapping generators: ~567/400, ~10/9
: Mapping generators: ~567/400, ~10/9


{{Multival|legend=1| 14 30 4 15 -33 -75 }}
{{Multival|legend=1| 14 30 4 15 -33 -75 }}
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Optimal tuning (POTE): ~99/70 = 1\2, ~10/9 = 185.962
Optimal tuning (POTE): ~99/70 = 1\2, ~10/9 = 185.962


{{Optimal ET sequence|legend=1| 26, 58, 142e, 200cdee }}
Optimal ET sequence: {{Optimal ET sequence| 26, 58, 142e, 200cdee }}


Badness: 0.046373
Badness: 0.046373
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Optimal tuning (POTE): ~99/70 = 1\2, ~10/9 = 185.955
Optimal tuning (POTE): ~99/70 = 1\2, ~10/9 = 185.955


{{Optimal ET sequence|legend=1| 26, 58, 84, 142ef }}
Optimal ET sequence: {{Optimal ET sequence| 26, 58, 84, 142ef }}


Badness: 0.025035
Badness: 0.025035
=== 17-limit ===
Subgroup: 2.3.5.7.11.13.17
Comma list: 144/143, 170/169, 221/220, 351/350, 441/440
Mapping: {{mapping| 2 1 0 5 6 4 6 | 0 7 15 2 3 11 7 }}
Optimal tuning (POTE): ~17/12 = 1\2, ~10/9 = 185.916
Optimal ET sequence: {{Optimal ET sequence| 26, 58, 84, 142ef }}
Badness: 0.021642
=== 19-limit ===
Subgroup: 2.3.5.7.11.13.17.19
Comma list: 144/143, 153/152, 170/169, 210/209, 221/220, 400/399
Mapping: {{mapping| 2 1 0 5 6 4 6 2 | 0 7 15 2 3 11 7 21 }}
Optimal tuning (POTE): ~17/12 = 1\2, ~10/9 = 185.858
Optimal ET sequence: {{Optimal ET sequence| 26, 58h, 84, 142efh, 226deefgh }}
Badness: 0.018565


== Infraorwell ==
== Infraorwell ==
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{{Mapping|legend=1| 1 14 0 16 | 0 -16 3 -17 }}
{{Mapping|legend=1| 1 14 0 16 | 0 -16 3 -17 }}


: mapping generators: ~2, ~12/7
: Mapping generators: ~2, ~12/7


{{Multival|legend=1| 16 -3 17 -42 -18 48 }}
{{Multival|legend=1| 16 -3 17 -42 -18 48 }}
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Optimal tuning (POTE): ~2 = 1\1, ~7/6 = 269.036
Optimal tuning (POTE): ~2 = 1\1, ~7/6 = 269.036


{{Optimal ET sequence|legend=1| 9, 49, 58, 165cdee }}
Optimal ET sequence: {{Optimal ET sequence| 9, 49, 58, 165cdee }}


Badness: 0.040721
Badness: 0.040721
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Optimal tuning (POTE): ~2 = 1\1, ~7/6 = 269.021
Optimal tuning (POTE): ~2 = 1\1, ~7/6 = 269.021


{{Optimal ET sequence|legend=1| 9, 49f, 58 }}
Optimal ET sequence: {{Optimal ET sequence| 9, 49f, 58 }}


Badness: 0.023683
Badness: 0.023683
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{{Mapping|legend=1| 1 2 3 | 0 -11 -18 }}
{{Mapping|legend=1| 1 2 3 | 0 -11 -18 }}


: mapping generators: ~2, ~250/243
: Mapping generators: ~2, ~250/243


[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~250/243 = 45.233
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~250/243 = 45.233
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{{Mapping|legend=1| 1 3 -3 6 | 0 -4 15 -9 }}
{{Mapping|legend=1| 1 3 -3 6 | 0 -4 15 -9 }}


: mapping generators: ~2, ~9/7
: Mapping generators: ~2, ~9/7


{{Multival|legend=1| 4 -15 9 -33 3 63 }}
{{Multival|legend=1| 4 -15 9 -33 3 63 }}
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Optimal tuning (POTE): ~2 = 1\1, ~9/7 = 425.550
Optimal tuning (POTE): ~2 = 1\1, ~9/7 = 425.550


{{Optimal ET sequence|legend=1| 14, 17, 31, 79, 110e, 141e }}
Optimal ET sequence: {{Optimal ET sequence| 14, 17, 31, 79, 110e, 141e }}


Badness: 0.039595
Badness: 0.039595
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Optimal tuning (POTE): ~2 = 1\1, ~9/7 = 425.501
Optimal tuning (POTE): ~2 = 1\1, ~9/7 = 425.501


{{Optimal ET sequence|legend=1| 14, 17, 31, 79f, 110ef, 141ef }}
Optimal ET sequence: {{Optimal ET sequence| 14, 17, 31, 79f, 110ef, 141ef }}


Badness: 0.037408
Badness: 0.037408
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{{Mapping|legend=1| 1 2 3 3 | 0 -13 -21 -6 }}
{{Mapping|legend=1| 1 2 3 3 | 0 -13 -21 -6 }}


: mapping generators: ~2, ~36/35
: Mapping generators: ~2, ~36/35


{{Multival|legend=1| 13 21 6 3 -27 -45 }}
{{Multival|legend=1| 13 21 6 3 -27 -45 }}
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Optimal tuning (POTE): ~2 = 1\1, ~36/35 = 38.565
Optimal tuning (POTE): ~2 = 1\1, ~36/35 = 38.565


{{Optimal ET sequence|legend=1| 31, 156ce, 187ce, 218bcee, 249bcee }}
Optimal ET sequence: {{Optimal ET sequence| 31, 156ce, 187ce, 218bcee, 249bcee }}


Badness: 0.044186
Badness: 0.044186
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Optimal tuning (POTE): ~2 = 1\1, ~36/35 = 38.444
Optimal tuning (POTE): ~2 = 1\1, ~36/35 = 38.444


{{Optimal ET sequence|legend=1| 31, 94cff, 125cff }}
Optimal ET sequence: {{Optimal ET sequence| 31, 94cff, 125cff }}


Badness: 0.038116
Badness: 0.038116
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{{Mapping|legend=1| 2 0 33 -7 | 0 1 -9 4 }}
{{Mapping|legend=1| 2 0 33 -7 | 0 1 -9 4 }}


: mapping generators: ~81/56, ~3
: Mapping generators: ~81/56, ~3


{{Multival|legend=1| 2 -18 8 -33 7 69 }}
{{Multival|legend=1| 2 -18 8 -33 7 69 }}
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Optimal tuning (POTE): ~63/44 = 1\2, ~3/2 = 691.040
Optimal tuning (POTE): ~63/44 = 1\2, ~3/2 = 691.040


{{Optimal ET sequence|legend=1| 14, 26, 40, 66b }}
Optimal ET sequence: {{Optimal ET sequence| 14, 26, 40, 66b }}


Badness: 0.095777
Badness: 0.095777
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{{Mapping|legend=1| 13 0 30 16 | 0 1 0 1 }}
{{Mapping|legend=1| 13 0 30 16 | 0 1 0 1 }}


: mapping generators: ~15/14, ~3
: Mapping generators: ~15/14, ~3


{{Multival|legend=1| 13 0 13 -30 -16 30 }}
{{Multival|legend=1| 13 0 13 -30 -16 30 }}
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Optimal tuning (POTE): ~15/14 = 1\13, ~3/2 = 696.296
Optimal tuning (POTE): ~15/14 = 1\13, ~3/2 = 696.296


{{Optimal ET sequence|legend=1| 13d, 26, 91cd }}
Optimal ET sequence: {{Optimal ET sequence| 13d, 26, 91cd }}


Badness: 0.098847
Badness: 0.098847
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Optimal tuning (POTE): ~15/14 = 1\13, ~3/2 = 695.879
Optimal tuning (POTE): ~15/14 = 1\13, ~3/2 = 695.879


{{Optimal ET sequence|legend=1| 13d, 26, 91cdf }}
Optimal ET sequence: {{Optimal ET sequence| 13d, 26, 91cdf }}


Badness: 0.059216
Badness: 0.059216
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Optimal tuning (POTE): ~55/48 = 1\5, ~7/4 = 975.1212
Optimal tuning (POTE): ~55/48 = 1\5, ~7/4 = 975.1212


{{Optimal ET sequence|legend=1| 5, 75e, 80 }}
Optimal ET sequence: {{Optimal ET sequence| 5, 75e, 80 }}


Badness: 0.071702
Badness: 0.071702
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