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Marvel family: Difference between revisions

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Line 43: Line 43:


[[Projection pair]]s: <code>7 225/32</code>
[[Projection pair]]s: <code>7 225/32</code>
[[Complexity spectrum]]: 4/3, 5/4, 7/5, 7/6, 8/7, 6/5, 9/8, 9/7, 10/9


Scales: [[marvel9]], [[marvel10]], [[marvel11]], [[marvel12]], [[marvel19]], [[marvel22]], [[pump12_1]], [[pump12_2]], [[pump13]], [[pump14]], [[pump15]], [[pump16]], [[pump17]], [[pump18]], [[marvel wholetone]]
Scales: [[marvel9]], [[marvel10]], [[marvel11]], [[marvel12]], [[marvel19]], [[marvel22]], [[pump12_1]], [[pump12_2]], [[pump13]], [[pump14]], [[pump15]], [[pump16]], [[pump17]], [[pump18]], [[marvel wholetone]]
Line 111: Line 109:


[[Projection pair]]s: <code>7 225/32 11 4096/375</code>
[[Projection pair]]s: <code>7 225/32 11 4096/375</code>
[[Complexity spectrum]]: 5/4, 4/3, 7/6, 8/7, 7/5, 6/5, 9/7, 12/11, 9/8, 11/8, 11/9, 10/9, 11/10, 14/11


Scales: [[marvel22_11]], [[unimarv19]], [[unimarv22]]
Scales: [[marvel22_11]], [[unimarv19]], [[unimarv22]]
Line 131: Line 127:
Comma list: 225/224, 351/350, 385/384
Comma list: 225/224, 351/350, 385/384


Mapping: {{mapping| 1 0 0 -5 12 -4 | 0 1 0 2 -1 -1 | 0 0 1 2 -3 4 }}
{{Mapping|legend=0| 1 0 0 -5 12 -4 | 0 1 0 2 -1 -1 | 0 0 1 2 -3 4 }}


Optimal tunings:  
Optimal tunings:  
Line 144: Line 140:


Badness (Sintel): 0.645
Badness (Sintel): 0.645
Complexity spectrum: 5/4, 4/3, 16/15, 15/14, 9/7, 6/5, 7/6, 11/8, 7/5, 9/8, 8/7, 10/9, 12/11, 13/10, 11/10, 15/11, 16/13, 11/9, 15/13, 14/13, 13/12, 14/11, 18/13, 13/11


=== Hecate ===
=== Hecate ===
Line 155: Line 149:
Comma list: 225/224, 325/324, 385/384
Comma list: 225/224, 325/324, 385/384


Mapping: {{mapping| 1 0 0 -5 12 2 | 0 1 0 2 -1 4 | 0 0 1 2 -3 -2 }}
{{Mapping|legend=0| 1 0 0 -5 12 2 | 0 1 0 2 -1 4 | 0 0 1 2 -3 -2 }}


Optimal tunings:  
Optimal tunings:  
Line 170: Line 164:


Projection pairs: <code>7 225/32 11 4096/375 13 324/25</code>
Projection pairs: <code>7 225/32 11 4096/375 13 324/25</code>
Complexity spectrum: 4/3, 5/4, 16/15, 15/14, 6/5, 9/8, 7/5, 9/7, 7/6, 10/9, 8/7, 18/13, 11/8, 12/11, 13/12, 11/9, 11/10, 15/13, 15/11, 16/13, 13/11, 14/13, 13/10, 14/11


===== 2.3.5.7.11.13.19 subgroup =====
===== 2.3.5.7.11.13.19 subgroup =====
Line 178: Line 170:
Comma list: 225/224, 325/324, 385/384, 400/399
Comma list: 225/224, 325/324, 385/384, 400/399


Subgroup-val mapping: {{mapping| 1 0 0 -5 12 2 9 | 0 1 0 2 -1 4 -3 | 0 0 1 2 -3 -2 0 }}
{{Mapping|legend=2| 1 0 0 -5 12 2 9 | 0 1 0 2 -1 4 -3 | 0 0 1 2 -3 -2 0 }}


Optimal tunings:  
Optimal tunings:  
Line 193: Line 185:
Comma list: 225/224, 325/324, 385/384, 595/594
Comma list: 225/224, 325/324, 385/384, 595/594


Mapping: {{mapping| 1 0 0 -5 12 2 18 | 0 1 0 2 -1 4 0 | 0 0 1 2 -3 -2 -6 }}
{{Mapping|legend=0| 1 0 0 -5 12 2 18 | 0 1 0 2 -1 4 0 | 0 0 1 2 -3 -2 -6 }}


Optimal tunings:  
Optimal tunings:  
Line 208: Line 200:
Comma list: 225/224, 325/324, 385/384, 400/399, 595/594
Comma list: 225/224, 325/324, 385/384, 400/399, 595/594


Mapping: {{mapping| 1 0 0 -5 12 2 18 9 | 0 1 0 2 -1 4 0 -3 | 0 0 1 2 -3 -2 -6 0 }}
{{Mapping|legend=0| 1 0 0 -5 12 2 18 9 | 0 1 0 2 -1 4 0 -3 | 0 0 1 2 -3 -2 -6 0 }}


Optimal tunings:  
Optimal tunings:  
Line 223: Line 215:
Comma list: 225/224, 325/324, 375/374, 385/384
Comma list: 225/224, 325/324, 375/374, 385/384


Mapping: {{mapping| 1 0 0 -5 12 2 -13 | 0 1 0 2 -1 4 2 | 0 0 1 2 -3 -2 6 }}
{{Mapping|legend=0| 1 0 0 -5 12 2 -13 | 0 1 0 2 -1 4 2 | 0 0 1 2 -3 -2 6 }}


Optimal tunings:  
Optimal tunings:  
Line 238: Line 230:
Comma list: 225/224, 325/324, 375/374, 385/384, 400/399
Comma list: 225/224, 325/324, 375/374, 385/384, 400/399


Mapping: {{mapping| 1 0 0 -5 12 2 -13 9 | 0 1 0 2 -1 4 2 -3 | 0 0 1 2 -3 -2 6 0 }}
{{Mapping|legend=0| 1 0 0 -5 12 2 -13 9 | 0 1 0 2 -1 4 2 -3 | 0 0 1 2 -3 -2 6 0 }}


Optimal tunings:  
Optimal tunings:  
Line 253: Line 245:
Comma list: 225/224, 385/384, 1573/1568
Comma list: 225/224, 385/384, 1573/1568


Mapping: {{mapping| 1 0 0 -5 12 -29 | 0 1 0 2 -1 6 | 0 0 1 2 -3 10 }}
{{Mapping|legend=0| 1 0 0 -5 12 -29 | 0 1 0 2 -1 6 | 0 0 1 2 -3 10 }}


Optimal tunings:  
Optimal tunings:  
Line 272: Line 264:
Comma list: 225/224, 275/273, 385/384
Comma list: 225/224, 275/273, 385/384


Mapping: {{mapping| 1 0 0 -5 12 17 | 0 1 0 2 -1 -4 | 0 0 1 2 -3 -3 }}
{{Mapping|legend=0| 1 0 0 -5 12 17 | 0 1 0 2 -1 -4 | 0 0 1 2 -3 -3 }}


Optimal tunings:  
Optimal tunings:  
Line 289: Line 281:
Comma list: 225/224, 364/363, 385/384
Comma list: 225/224, 364/363, 385/384


Mapping: {{mapping| 1 0 0 -5 12 27 | 0 1 0 2 -1 -3 | 0 0 1 2 -3 -8 }}
{{Mapping|legend=0| 1 0 0 -5 12 27 | 0 1 0 2 -1 -3 | 0 0 1 2 -3 -8 }}


Optimal tunings:  
Optimal tunings:  
Line 310: Line 302:
Comma list: 105/104, 144/143, 196/195
Comma list: 105/104, 144/143, 196/195


Mapping: {{mapping| 1 0 0 -5 12 -8 | 0 1 0 2 -1 3 | 0 0 1 2 -3 3 }}
{{Mapping|legend=0| 1 0 0 -5 12 -8 | 0 1 0 2 -1 3 | 0 0 1 2 -3 3 }}


Optimal tunings:  
Optimal tunings:  
Line 331: Line 323:
Comma list: 169/168, 225/224, 385/384
Comma list: 169/168, 225/224, 385/384


Mapping: {{mapping| 1 0 0 -5 12 -1 | 0 2 0 4 -2 3 | 0 0 1 2 -3 1 }}
{{Mapping|legend=0| 1 0 0 -5 12 -1 | 0 2 0 4 -2 3 | 0 0 1 2 -3 1 }}
: mapping generators: ~2, ~26/15, ~5
: mapping generators: ~2, ~26/15, ~5


Line 387: Line 379:
Comma list: 105/104, 196/195, 352/351
Comma list: 105/104, 196/195, 352/351


Mapping: {{mapping| 1 0 0 -5 -13 -8 | 0 1 0 2 6 3 | 0 0 1 2 3 3 }}
{{Mapping|legend=0| 1 0 0 -5 -13 -8 | 0 1 0 2 6 3 | 0 0 1 2 3 3 }}


Optimal tunings:  
Optimal tunings:  
Line 402: Line 394:
Comma list: 225/224, 364/363, 441/440
Comma list: 225/224, 364/363, 441/440


Mapping: {{mapping| 1 0 0 -5 -13 -23 | 0 1 0 2 6 11 | 0 0 1 2 3 4 }}
{{Mapping|legend=0| 1 0 0 -5 -13 -23 | 0 1 0 2 6 11 | 0 0 1 2 3 4 }}


Optimal tunings:  
Optimal tunings:  
Line 417: Line 409:
Comma list: 225/224, 351/350, 441/440
Comma list: 225/224, 351/350, 441/440


Mapping: {{mapping| 1 0 0 -5 -13 -4 | 0 1 0 2 6 -1 | 0 0 1 2 3 4 }}
{{Mapping|legend=0| 1 0 0 -5 -13 -4 | 0 1 0 2 6 -1 | 0 0 1 2 3 4 }}


Optimal tunings:  
Optimal tunings:  
Line 432: Line 424:
Comma list: 225/224, 441/440, 1001/1000
Comma list: 225/224, 441/440, 1001/1000


Mapping: {{mapping| 1 0 0 -5 -13 21 | 0 1 0 2 6 -8 | 0 0 1 2 3 -2 }}
{{Mapping|legend=0| 1 0 0 -5 -13 21 | 0 1 0 2 6 -8 | 0 0 1 2 3 -2 }}


Optimal tunings:  
Optimal tunings:  
Line 447: Line 439:
Comma list: 225/224, 273/272, 375/374, 441/440
Comma list: 225/224, 273/272, 375/374, 441/440


Mapping: {{mapping| 1 0 0 -5 -13 21 12 | 0 1 0 2 6 -8 -5 | 0 0 1 2 3 -2 0 }}
{{Mapping|legend=0| 1 0 0 -5 -13 21 12 | 0 1 0 2 6 -8 -5 | 0 0 1 2 3 -2 0 }}


Optimal tunings:  
Optimal tunings:  
Line 493: Line 485:
Comma list: 99/98, 176/175, 275/273
Comma list: 99/98, 176/175, 275/273


Mapping: {{mapping| 1 0 0 -5 -9 -4 | 0 1 0 2 2 -1 | 0 0 1 2 4 4 }}
{{Mapping|legend=0| 1 0 0 -5 -9 -4 | 0 1 0 2 2 -1 | 0 0 1 2 4 4 }}


Optimal tunings:  
Optimal tunings:  
Line 545: Line 537:
Comma list: 100/99, 225/224, 275/273
Comma list: 100/99, 225/224, 275/273


Mapping: {{mapping| 1 0 0 -5 2 7 | 0 1 0 2 -2 -5 | 0 0 1 2 2 2 }}
{{Mapping|legend=0| 1 0 0 -5 2 7 | 0 1 0 2 -2 -5 | 0 0 1 2 2 2 }}


Optimal tunings:  
Optimal tunings:  
Line 564: Line 556:
Comma list: 100/99, 105/104, 196/195
Comma list: 100/99, 105/104, 196/195


Mapping: {{mapping| 1 0 0 -5 2 1 | 0 1 0 2 -2 3 | 0 0 1 2 2 3 }}
{{Mapping|legend=0| 1 0 0 -5 2 1 | 0 1 0 2 -2 3 | 0 0 1 2 2 3 }}


Optimal tunings:  
Optimal tunings:  
Line 579: Line 571:
Comma list: 100/99, 144/143, 225/224
Comma list: 100/99, 144/143, 225/224


Mapping: {{mapping| 1 0 0 -5 2 2 | 0 1 0 2 -2 4 | 0 0 1 2 2 -2 }}
{{Mapping|legend=0| 1 0 0 -5 2 2 | 0 1 0 2 -2 4 | 0 0 1 2 2 -2 }}


Optimal tunings:  
Optimal tunings:  
Line 615: Line 607:
Comma list: 45/44, 56/55, 78/77
Comma list: 45/44, 56/55, 78/77


Mapping: {{mapping| 1 0 0 -5 -2 -8 | 0 1 0 2 2 3 | 0 0 1 2 1 3 }}
{{Mapping|legend=0| 1 0 0 -5 -2 -8 | 0 1 0 2 2 3 | 0 0 1 2 1 3 }}


Optimal tunings:  
Optimal tunings:  
Line 655: Line 647:
Comma list: 225/224, 275/273, 325/324
Comma list: 225/224, 275/273, 325/324


Mapping: {{mapping| 1 0 0 -5 -3 2 | 0 1 0 2 7 4 | 0 0 1 2 -2 -2 }}
{{Mapping|legend=0| 1 0 0 -5 -3 2 | 0 1 0 2 7 4 | 0 0 1 2 -2 -2 }}


Optimal tunings:  
Optimal tunings:  
Line 712: Line 704:
Comma list: 169/168, 225/224, 1001/1000
Comma list: 169/168, 225/224, 1001/1000


Mapping: {{mapping| 1 0 0 -5 9 -1 | 0 2 0 4 -7 3 | 0 0 1 2 0 1 }}
{{Mapping|legend=0| 1 0 0 -5 9 -1 | 0 2 0 4 -7 3 | 0 0 1 2 0 1 }}


Optimal tunings:  
Optimal tunings:  
Line 746: Line 738:
Comma list: 120/119, 225/224
Comma list: 120/119, 225/224


Mapping: {{mapping| 1 0 0 -5 8 | 0 1 0 2 -1 | 0 0 1 2 -1 }}
{{Mapping|legend=0| 1 0 0 -5 8 | 0 1 0 2 -1 | 0 0 1 2 -1 }}


Optimal tunings:  
Optimal tunings:  
Line 761: Line 753:
Comma list: 225/224, 400/399
Comma list: 225/224, 400/399


Mapping: {{mapping| 1 0 0 -5 9 | 0 1 0 2 -3 | 0 0 1 2 0 }}
{{Mapping|legend=0| 1 0 0 -5 9 | 0 1 0 2 -3 | 0 0 1 2 0 }}


Optimal tunings:  
Optimal tunings:  
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