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Pentacircle clan: Difference between revisions

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Preliminary cleanup on the intros. - redundant category
m Text replacement - "Subgroup-val mapping: {{mapping| " to "{{Mapping|legend=2| "
 
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Line 13: Line 13:
[[Comma list]]: 896/891
[[Comma list]]: 896/891


{{Mapping|legend=2| 1 0 0 7 | 0 1 0 -4 | 0 0 1 1 }}
{{Mapping|legend=3| 1 0 0 7 | 0 1 0 -4 | 0 0 1 1 }}
: mapping generators: ~2, ~3, ~7
: mapping generators: ~2, ~3, ~7


Line 41: Line 41:
* ''[[Apollo]]'' → [[Marvel family #Apollo|Marvel family]]
* ''[[Apollo]]'' → [[Marvel family #Apollo|Marvel family]]
* [[Sensamagic]] → [[Sensamagic family #Undecimal sensamagic|Sensamagic family]]
* [[Sensamagic]] → [[Sensamagic family #Undecimal sensamagic|Sensamagic family]]
* [[Pele]] → [[Hemifamity family #Pele|Hemifamity family]]
* [[Pele]] → [[Aberschismic family #Pele|Aberschismic family]]
* ''[[Uni]]'' → [[Hemimage family #Uni|Hemimage family]]
* ''[[Uni]]'' → [[Hemimage family #Uni|Hemimage family]]
* ''[[Varda]]'' → [[Diaschismic rank-3 family #Varda|Diaschismic rank-3 family]]
* ''[[Varda]]'' → [[Diaschismic rank-3 family #Varda|Diaschismic rank-3 family]]
* ''[[Parahemif]]'' → [[Rastmic rank-3 clan #Parahemif|Rastmic rank-3 clan]]
* ''[[Parahemif]]'' → [[Rastmic rank-3 clan #Parahemif|Rastmic rank-3 clan]]
* ''[[Canta]]'' → [[Canou family #Canta|Canou family]]
* ''[[Canta]]'' → [[Cathartic family #Canta|Cathartic family]]


Considered below are tolerant, kujuku, and terrapyth.  
Considered below are tolerant, kujuku, and terrapyth.  
Line 56: Line 56:
Comma list: 352/351, 364/363
Comma list: 352/351, 364/363


Subgroup-val mapping: {{mapping| 1 0 0 7 12 | 0 1 0 -4 -7 | 0 0 1 1 1 }}
{{Mapping|legend=2| 1 0 0 7 12 | 0 1 0 -4 -7 | 0 0 1 1 1 }}


Optimal tunings:  
Optimal tunings:  
Line 71: Line 71:
Comma list: 352/351, 364/363, 442/441
Comma list: 352/351, 364/363, 442/441


Subgroup-val mapping: {{mapping| 1 0 0 7 12 -13 | 0 1 0 -4 -7 9 | 0 0 1 1 1 1 }}
{{Mapping|legend=2| 1 0 0 7 12 -13 | 0 1 0 -4 -7 9 | 0 0 1 1 1 1 }}


Optimal tunings:  
Optimal tunings:  
Line 105: Line 105:
Comma list: 352/351, 364/363, 9295/9261
Comma list: 352/351, 364/363, 9295/9261


Mapping: {{mapping| 1 0 -31 0 7 12 | 0 1 0 21 0 4 -7 | 0 0 0 1 1 1 }}
{{Mapping|legend=0| 1 0 -31 0 7 12 | 0 1 0 21 0 4 -7 | 0 0 0 1 1 1 }}


Optimal tunings:  
Optimal tunings:  
Line 120: Line 120:
Comma list: 352/351, 364/363, 442/441, 715/714
Comma list: 352/351, 364/363, 442/441, 715/714


Mapping: {{mapping| 1 0 -31 0 7 12 -13 | 0 1 0 21 0 4 -7 9 | 0 0 0 1 1 1 1 1 }}
{{Mapping|legend=0| 1 0 -31 0 7 12 -13 | 0 1 0 21 0 4 -7 9 | 0 0 0 1 1 1 1 1 }}


Optimal tunings:  
Optimal tunings:  
Line 156: Line 156:
Comma list: 105/104, 245/242, 352/351
Comma list: 105/104, 245/242, 352/351


Mapping: {{mapping| 1 0 15 0 7 12 | 0 1 -8 0 -4 -7 | 0 0 0 1 1 1 }}
{{Mapping|legend=0| 1 0 15 0 7 12 | 0 1 -8 0 -4 -7 | 0 0 0 1 1 1 }}


Optimal tunings:
Optimal tunings:
Line 171: Line 171:
Comma list: 144/143, 245/242, 896/891
Comma list: 144/143, 245/242, 896/891


Mapping: {{mapping| 1 0 15 0 7 -3 | 0 1 -8 0 -4 6 | 0 0 0 1 1 -1 }}
{{Mapping|legend=0| 1 0 15 0 7 -3 | 0 1 -8 0 -4 6 | 0 0 0 1 1 -1 }}


Optimal tunings:
Optimal tunings:
Line 206: Line 206:
Comma list: 325/324, 352/351, 364/363
Comma list: 325/324, 352/351, 364/363


Mapping: {{mapping| 1 0 0 -10 -3 2 | 0 1 0 11 7 4 | 0 0 1 -2 -2 -2 }}
{{Mapping|legend=0| 1 0 0 -10 -3 2 | 0 1 0 11 7 4 | 0 0 1 -2 -2 -2 }}


Optimal tunings:  
Optimal tunings:  
Line 221: Line 221:
Comma list: 256/255, 325/324, 352/351, 364/363
Comma list: 256/255, 325/324, 352/351, 364/363


Mapping: {{mapping| 1 0 0 -10 -3 2 8 | 0 1 0 11 7 4 -1 | 0 0 1 -2 -2 -2 -1 }}
{{Mapping|legend=0| 1 0 0 -10 -3 2 8 | 0 1 0 11 7 4 -1 | 0 0 1 -2 -2 -2 -1 }}


Optimal tunings:  
Optimal tunings:  
Line 256: Line 256:
Comma list: 352/351, 364/363, 676/675
Comma list: 352/351, 364/363, 676/675


Mapping: {{mapping| 1 0 0 -13 -6 -1 | 0 2 0 17 9 3 | 0 0 1 1 1 1 }}
{{Mapping|legend=0| 1 0 0 -13 -6 -1 | 0 2 0 17 9 3 | 0 0 1 1 1 1 }}


Optimal tunings:  
Optimal tunings:  
Line 265: Line 265:


Badness (Sintel): 0.991
Badness (Sintel): 0.991
Complexity spectrum: 15/13, 4/3, 13/10, 9/8, 13/11, 15/11, 12/11, 11/9, 11/8, 14/11, 16/13, 16/15, 11/10, 13/12, 9/7, 5/4, 18/13, 7/6, 6/5, 8/7, 10/9, 14/13, 15/14, 7/5


=== 17-limit ===
=== 17-limit ===
Line 273: Line 271:
Comma list: 256/255, 352/351, 364/363, 676/675
Comma list: 256/255, 352/351, 364/363, 676/675


Mapping: {{mapping| 1 0 0 -13 -6 -1 8 | 0 2 0 17 9 3 -2 | 0 0 1 1 1 1 -1 }}
{{Mapping|legend=0| 1 0 0 -13 -6 -1 8 | 0 2 0 17 9 3 -2 | 0 0 1 1 1 1 -1 }}


Optimal tunings:  
Optimal tunings:  
Line 310: Line 308:
Comma list: 352/351, 364/363, 1001/1000
Comma list: 352/351, 364/363, 1001/1000


Mapping: {{mapping| 1 2 0 2 1 0 | 0 -3 0 -11 1 10 | 0 0 1 1 1 1 }}
{{Mapping|legend=0| 1 2 0 2 1 0 | 0 -3 0 -11 1 10 | 0 0 1 1 1 1 }}
: mapping generators: ~2, ~11/10, ~5
: mapping generators: ~2, ~11/10, ~5


Line 328: Line 326:
Comma list: 286/285, 352/351, 364/363, 400/399
Comma list: 286/285, 352/351, 364/363, 400/399


Mapping: {{mapping| 1 2 0 2 1 0 0 | 0 -3 0 -11 1 10 14 | 0 0 1 1 1 1 1 }}
{{Mapping|legend=0| 1 2 0 2 1 0 0 | 0 -3 0 -11 1 10 14 | 0 0 1 1 1 1 1 }}
: mapping generators: ~2, ~11/10, ~5
: mapping generators: ~2, ~11/10, ~5


Line 344: Line 342:
Comma list: 208/207, 286/285, 352/351, 364/363, 400/399
Comma list: 208/207, 286/285, 352/351, 364/363, 400/399


Mapping: {{mapping| 1 2 0 2 1 0 0 0 | 0 -3 0 -11 1 10 14 16 | 0 0 1 1 1 1 1 1 }}
{{Mapping|legend=0| 1 2 0 2 1 0 0 0 | 0 -3 0 -11 1 10 14 16 | 0 0 1 1 1 1 1 1 }}
: mapping generators: ~2, ~11/10, ~5
: mapping generators: ~2, ~11/10, ~5


Line 355: Line 353:
Badness (Sintel): 1.14
Badness (Sintel): 1.14


[[Category:Pentacircle clan| ]] <!-- main article -->
[[Category:Temperament clans]]
[[Category:Temperament clans]]
[[Category:Pentacircle clan| ]] <!-- main article -->
[[Category:Catalogs of rank-3 temperaments]]
[[Category:Rank 3]]
Retrieved from "https://en.xen.wiki/w/Pentacircle_clan"