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 has pergen (P8, ccP5/14).  
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 has pergen (P8, c<sup>4</sup>P4/14).  
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 has 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).
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