Sensipent family: Difference between revisions
+ploidacot |
+ploidacots to accompany all the pergens |
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=== Bisensi === | === Bisensi === | ||
Bisensi has pergen (P8/2, ccP5/7). | Bisensi has a 1/2-octave period. Its ploidacot is diploid delta-heptacot (pergen (P8/2, ccP5/7)). | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
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=== Hemisensi === | === Hemisensi === | ||
Hemisensi | Hemisensi splits the ~9/7 generator in two, each for ~25/22. Its ploidacot is beta-tetradecacot (pergen (P8, ccP5/14)). | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
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== Bison == | == Bison == | ||
Bison has pergen (P8/2, ccP5/7). Related page: [[Bison/Eliora's Approach]]. | Bison has a 1/2-octave period. Its ploidacot is diploid delta-heptacot (pergen (P8/2, ccP5/7)). Related page: [[Bison/Eliora's Approach]]. | ||
[[Subgroup]]: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||
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[[Comma list]]: 6144/6125, 78732/78125 | [[Comma list]]: 6144/6125, 78732/78125 | ||
Mapping: | [[Mapping]]: | ||
* common form: {{mapping| 2 -2 -2 13 | 0 7 9 -10}} | * common form: {{mapping| 2 -2 -2 13 | 0 7 9 -10}} | ||
:: mapping generators: ~567/400, ~162/125 | :: mapping generators: ~567/400, ~162/125 | ||
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== Subpental == | == Subpental == | ||
Subpental | Subpental splits the generator ~14/9 in two. Its ploidacot is theta-tetradecacot (pergen (P8, c<sup>4</sup>P4/14)). | ||
[[Subgroup]]: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||
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== Heinz == | == Heinz == | ||
Heinz | Heinz splits the generator ~18/7 in three. Its ploidacot is theta-21-cot (pergen (P8, c<sup>9</sup>P5/21)). A notable tuning of heinz not shown below for those who like [[19edo]]'s representation of the [[5-limit]] is [[57edo]] (57 = 103 - 46). | ||
[[Subgroup]]: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||
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Comma list: 385/384, 441/440, 78732/78125 | Comma list: 385/384, 441/440, 78732/78125 | ||
{{Mapping|legend=1| 1 -8 -10 6 3| 0 21 27 -7 1}} | {{Mapping|legend=1| 1 -8 -10 6 3 | 0 21 27 -7 1}} | ||
: mapping generators: ~2, ~11/8 | : mapping generators: ~2, ~11/8 | ||
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Comma list: 351/350, 385/384, 441/440, 847/845 | Comma list: 351/350, 385/384, 441/440, 847/845 | ||
{{Mapping|legend=1| 1 -8 -10 6 3 11| 0 21 27 -7 1 -16}} | {{Mapping|legend=1| 1 -8 -10 6 3 11 | 0 21 27 -7 1 -16}} | ||
Optimal tuning (POTE): ~2 = 1\1, ~11/8 = 547.629 | Optimal tuning (POTE): ~2 = 1\1, ~11/8 = 547.629 | ||
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Comma list: 273/272, 351/350, 385/384, 441/440, 847/845 | Comma list: 273/272, 351/350, 385/384, 441/440, 847/845 | ||
{{Mapping|legend=1| 1 -8 -10 6 3 11 5| 0 21 27 -7 1 -16 -2}} | {{Mapping|legend=1| 1 -8 -10 6 3 11 5 | 0 21 27 -7 1 -16 -2}} | ||
Optimal tuning (POTE): ~2 = 1\1, ~11/8 = 547.635 | Optimal tuning (POTE): ~2 = 1\1, ~11/8 = 547.635 | ||
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Comma list: 171/170, 209/208, 351/350, 385/384, 441/440, 969/968 | Comma list: 171/170, 209/208, 351/350, 385/384, 441/440, 969/968 | ||
{{Mapping|legend=1| 1 -8 -10 6 3 11 5 12| 0 21 27 -7 1 -16 -2 -17}} | {{Mapping|legend=1| 1 -8 -10 6 3 11 5 12 | 0 21 27 -7 1 -16 -2 -17}} | ||
Optimal tuning (POTE): ~2 = 1\1, ~11/8 = 547.614 | Optimal tuning (POTE): ~2 = 1\1, ~11/8 = 547.614 | ||
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== Trisensory == | == Trisensory == | ||
Trisensory has pergen (P8/3, M6/21). | Trisensory has 1/3-octave period. Its ploidacot is triploid digamma-heptacot (pergen (P8/3, M6/21)). | ||
[[Subgroup]]: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 |