Keemic temperaments: Difference between revisions

Undeka 13-limit -> no-13 17-limit. Pentadecal 13-limit -> no-11 13-limit
m Text replacement - "Mapping: {{mapping| " to "{{Mapping|legend=0| "
 
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Line 9: Line 9:
* [[Magic]] (+225/224) → [[Magic family #Septimal magic|Magic family]]
* [[Magic]] (+225/224) → [[Magic family #Septimal magic|Magic family]]
* [[Keemun]] (+49/48) → [[Kleismic family #Keemun|Kleismic family]]
* [[Keemun]] (+49/48) → [[Kleismic family #Keemun|Kleismic family]]
* ''[[Wesley]]'' (+405/392) → [[Wesley family #Septimal wesley|Wesley family]]
* ''[[Doublewide]]'' (+50/49) → [[Jubilismic clan #Doublewide|Jubilismic clan]]
* ''[[Doublewide]]'' (+50/49) → [[Jubilismic clan #Doublewide|Jubilismic clan]]
* [[Superkleismic]] (+1029/1024) → [[Gamelismic clan #Superkleismic|Gamelismic clan]]
* [[Superkleismic]] (+1029/1024) → [[Gamelismic clan #Superkleismic|Gamelismic clan]]
* ''[[Fifives]]'' (+83349/81920) → [[Fifive family #Fifives|Fifive family]]
* ''[[Sycamore]]'' (+686/675) → [[Sycamore family #Septimal sycamore|Sycamore family]]
* ''[[Sycamore]]'' (+686/675) → [[Sycamore family #Septimal sycamore|Sycamore family]]


Line 46: Line 48:
Comma list: 100/99, 385/384, 1375/1372
Comma list: 100/99, 385/384, 1375/1372


Mapping: {{mapping| 1 -9 -6 -4 8 | 0 14 11 9 -6 }}
{{Mapping|legend=0| 1 -9 -6 -4 8 | 0 14 11 9 -6 }}


Optimal tunings:  
Optimal tunings:  
Line 61: Line 63:
Comma list: 100/99, 196/195, 275/273, 385/384
Comma list: 100/99, 196/195, 275/273, 385/384


Mapping: {{mapping| 1 -9 -6 -4 8 9 | 0 14 11 9 -6 -7 }}
{{Mapping|legend=0| 1 -9 -6 -4 8 9 | 0 14 11 9 -6 -7 }}


Optimal tunings:  
Optimal tunings:  
Line 76: Line 78:
Comma list: 243/242, 441/440, 625/616
Comma list: 243/242, 441/440, 625/616


Mapping: {{mapping| 1 -9 -6 -4 -23 | 0 14 11 9 35 }}
{{Mapping|legend=0| 1 -9 -6 -4 -23 | 0 14 11 9 35 }}


Optimal tunings:  
Optimal tunings:  
Line 91: Line 93:
Comma list: 105/104, 243/242, 275/273, 325/324
Comma list: 105/104, 243/242, 275/273, 325/324


Mapping: {{mapping| 1 -9 -6 -4 -23 -22 | 0 14 11 9 35 34 }}
{{Mapping|legend=0| 1 -9 -6 -4 -23 -22 | 0 14 11 9 35 34 }}


Optimal tunings:  
Optimal tunings:  
Line 148: Line 150:
Comma list: 245/242, 540/539, 625/616
Comma list: 245/242, 540/539, 625/616


Mapping: {{mapping| 1 -10 -5 -10 -13 | 0 19 12 21 27 }}
{{Mapping|legend=0| 1 -10 -5 -10 -13 | 0 19 12 21 27 }}


Optimal tunings:  
Optimal tunings:  
Line 163: Line 165:
Comma list: 144/143, 196/195, 245/242, 275/273
Comma list: 144/143, 196/195, 245/242, 275/273


Mapping: {{mapping| 1 -10 -5 -10 -13 -3 | 0 19 12 21 27 11 }}
{{Mapping|legend=0| 1 -10 -5 -10 -13 -3 | 0 19 12 21 27 11 }}


Optimal tunings:  
Optimal tunings:  
Line 201: Line 203:
Comma list: 105/104, 325/324, 15625/15379
Comma list: 105/104, 325/324, 15625/15379


Mapping: {{mapping| 15 0 11 42 52 8 | 0 1 1 0 0 2 }}
{{Mapping|legend=0| 15 0 11 42 52 8 | 0 1 1 0 0 2 }}


Optimal tunings:  
Optimal tunings:  
Line 216: Line 218:
Comma list: 121/120, 441/440, 875/864
Comma list: 121/120, 441/440, 875/864


Mapping: {{mapping| 15 0 11 42 28 | 0 1 1 0 1 }}
{{Mapping|legend=0| 15 0 11 42 28 | 0 1 1 0 1 }}


Optimal tunings:  
Optimal tunings:  
Line 231: Line 233:
Comma list: 105/104, 121/120, 275/273, 325/324
Comma list: 105/104, 121/120, 275/273, 325/324


Mapping: {{mapping| 15 0 11 42 28 8 | 0 1 1 0 1 2 }}
{{Mapping|legend=0| 15 0 11 42 28 8 | 0 1 1 0 1 2 }}


Optimal tunings:  
Optimal tunings:  
Line 266: Line 268:
Comma list: 100/99, 352/343, 385/384
Comma list: 100/99, 352/343, 385/384


Mapping: {{mapping| 11 0 8 31 38 | 0 1 1 0 0 }}
{{Mapping|legend=0| 11 0 8 31 38 | 0 1 1 0 0 }}


Optimal tunings:  
Optimal tunings:  
Line 281: Line 283:
Comma list: 85/84, 100/99, 121/119, 385/384
Comma list: 85/84, 100/99, 121/119, 385/384


Mapping: {{mapping| 11 0 8 31 38 45 | 0 1 1 0 0 0 }}
{{Mapping|legend=0| 11 0 8 31 38 45 | 0 1 1 0 0 0 }}


Optimal tunings:  
Optimal tunings:  
Line 314: Line 316:
Comma list: 100/99, 385/384, 2420/2401
Comma list: 100/99, 385/384, 2420/2401


Mapping: {{mapping| 1 -3 -2 2 4 | 0 17 16 3 -2}}
{{Mapping|legend=0| 1 -3 -2 2 4 | 0 17 16 3 -2}}


Optimal tunings:  
Optimal tunings:  
Line 329: Line 331:
Comma list: 100/99, 169/168, 275/273, 385/384
Comma list: 100/99, 169/168, 275/273, 385/384


Mapping: {{mapping| 1 -3 -2 2 4 1 | 0 17 16 3 -2 10 }}
{{Mapping|legend=0| 1 -3 -2 2 4 1 | 0 17 16 3 -2 10 }}


Optimal tunings:  
Optimal tunings:  
Line 366: Line 368:
Comma list: 100/99, 385/384, 6655/6561
Comma list: 100/99, 385/384, 6655/6561


Mapping: {{mapping| 7 0 -6 53 2 | 0 1 2 -3 2 }}
{{Mapping|legend=0| 7 0 -6 53 2 | 0 1 2 -3 2 }}


Optimal tunings:  
Optimal tunings:  
Line 381: Line 383:
Comma list: 100/99, 169/168, 352/351, 385/384
Comma list: 100/99, 169/168, 352/351, 385/384


Mapping: {{mapping| 7 0 -6 53 2 37 | 0 1 2 -3 2 -1 }}
{{Mapping|legend=0| 7 0 -6 53 2 37 | 0 1 2 -3 2 -1 }}


Optimal tunings:  
Optimal tunings:  
Line 391: Line 393:
Badness (Sintel): 1.70
Badness (Sintel): 1.70


[[Category:Keemic temperaments| ]] <!-- main article -->
[[Category:Temperament collections]]
[[Category:Temperament collections]]
[[Category:Keemic temperaments| ]] <!-- main article -->
[[Category:Catalogs of rank-2 temperaments]]
[[Category:Rank 2]]