Xenharmonic Wiki

Magic extensions: Difference between revisions

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VisualWikitext
-muggles (not in the scope of this article)
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| 5 limit least squares
| 5-odd-limit least squares
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| 19\60
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| 380.029
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| 13/11
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| 380.354
| 380.354
| 13 and 15 limit minimax
| 13- and 15-odd-limit minimax
|-
|-
|  
|  
| {{vector|0 56 -31 46 -94 88}}
| {{monzo| 0 56 -31 46 -94 88 }}
| 380.377
| 380.377
| 13 limit least squares
| 13-odd-limit least squares
|-
|-
|  
|  
| {{vector|0 36 -23 32}}
| {{monzo| 0 36 -23 32 }}
| 380.384
| 380.384
| 9 limit least squares
| 9-odd-limit least squares
|-
|-
|  
|  
| {{vector|0 58 -29 52 -108 100}}
| {{monzo| 0 58 -29 52 -108 100 }}
| 380.389
| 380.389
| 15 limit least squares
| 15-odd-limit least squares
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|-
|  
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| 4/3
| 3/2
| 380.391
| 380.391
| 5, 7 and 9 limit minimax
| 5-, 7- and 9-odd-limit minimax
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|-
| 13\41
| 13\41
Line 346: Line 346:
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|-
|  
|  
| {{vector|0 1 -7 15}}
| {{monzo| 0 1 -7 15 }}
| 380.506
| 380.506
| 7 limit least squares
| 7-odd-limit least squares
|-
|-
|  
|  
| 11/9
| 11/9
| 380.700
| 380.700
| 11 limit minimax
| 11-odd-limit minimax
|-
|-
|  
|  
| {{vector|0 85 -14 52 -68}}
| {{monzo| 0 85 -14 52 -68 }}
| 380.714
| 380.714
| 11 limit least squares
| 11-odd-limit least squares
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| 8/7
| 7/4
| 380.735
| 380.735
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| 380.818
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| 380.875
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| 381.378
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| 378.910
| 378.910
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| 379.733
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| 27/20
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| 379.968
| 379.968
| 5 limit least squares
| 5-odd-limit least squares
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|-
| 19\60
| 19\60
Line 475: Line 475:
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|-
|  
|  
| {{vector|0 36 -23 32}}
| {{monzo| 0 36 -23 32 }}
| 380.384
| 380.384
| 9 limit least squares
| 9-odd-limit least squares
|-
|-
|  
|  
| 4/3
| 3/2
| 380.391
| 380.391
| 5, 7 and 9 limit minimax
| 5-, 7- and 9-odd-limit minimax
|-
|-
| 13\41
| 13\41
Line 490: Line 490:
|-
|-
|  
|  
| {{vector|0 1 -7 15}}
| {{monzo| 0 1 -7 15 }}
| 380.506
| 380.506
| 7 limit least squares
| 7-odd-limit least squares
|-
|-
|  
|  
Line 500: Line 500:
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|-
|  
|  
| 18/13
| 13/9
| 380.709
| 380.709
| 13 and 15 limit minimax
| 13- and 15-odd-limit minimax
|-
|-
|  
|  
| {{vector|0 85 -14 52 -68}}
| {{monzo| 0 85 -14 52 -68 }}
| 380.714
| 380.714
| 11 limit least squares
| 11-odd-limit least squares
|-
|-
|  
|  
Line 515: Line 515:
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| 8/7
| 7/4
| 380.735
| 380.735
|  
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Line 530: Line 530:
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|-
|  
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| {{vector|0 -179 -10 -87 53 158}}
| {{monzo| 0 -179 -10 -87 53 158 }}
| 380.785
| 380.785
| 13 limit least squares
| 13-odd-limit least squares
|-
|-
|  
|  
| 14/13
| 13/7
| 380.809
| 380.809
|  
|  
|-
|-
|  
|  
| {{vector|0 -222 -53 -93 67 187}}
| {{monzo| 0 -222 -53 -93 67 187 }}
| 380.817
| 380.817
| 15 limit least squares
| 15-odd-limit least squares
|-
|-
|  
|  
| 12/11
| 11/6
| 380.818
| 380.818
|  
|  
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| 16/13
| 13/8
| 380.847
| 380.847
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| 14/11
| 11/7
| 380.875
| 380.875
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|  
Line 590: Line 590:
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| 16/15
| 15/8
| 381.378
| 381.378
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| 16/13
| 13/8
| 359.472
| 359.472
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Line 645: Line 645:
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| 18/13
| 13/9
| 378.489
| 378.489
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| 6/5
| 5/3
| 378.910
| 378.910
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Line 660: Line 660:
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| 14/13
| 13/7
| 379.100
| 379.100
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| 10/9
| 9/5
| 379.733
| 379.733
|  
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Line 672: Line 672:
| 27/20
| 27/20
| 379.968
| 379.968
| 5 limit least squares
| 5-odd-limit least squares
|-
|-
| 19\60
| 19\60
Line 695: Line 695:
|-
|-
|  
|  
| {{vector|0 36 -23 32}}
| {{monzo| 0 36 -23 32 }}
| 380.384
| 380.384
| 9 limit least squares
| 9-odd-limit least squares
|-
|-
|  
|  
| 4/3
| 3/2
| 380.391
| 380.391
| 5, 7 and 9 limit minimax
| 5-, 7- and 9-odd-limit minimax
|-
|-
|  
|  
| {{vector|0 -113 12 -65 75 26}}
| {{monzo| 0 -113 12 -65 75 26 }}
| 380.427
| 380.427
| 13 limit least squares
| 13-odd-limit least squares
|-
|-
|  
|  
| {{vector|0 134 9 71 -89 -33}}
| {{monzo| 0 134 9 71 -89 -33 }}
| 380.457
| 380.457
| 15 limit least squares
| 15-odd-limit least squares
|-
|-
| 13\41
| 13\41
Line 720: Line 720:
|-
|-
|  
|  
| {{vector|0 1 -7 15}}
| {{monzo| 0 1 -7 15 }}
| 380.506
| 380.506
| 7 limit least squares
| 7-odd-limit least squares
|-
|-
|  
|  
| 11/9
| 11/9
| 380.700
| 380.700
| 11, 13 and 15 limit minimax
| 11-, 13- and 15-odd-limit minimax
|-
|-
|  
|  
| {{vector|0 85 -14 52 -68}}
| {{monzo| 0 85 -14 52 -68 }}
| 380.714
| 380.714
| 11 limit least squares
| 11-odd-limit least squares
|-
|-
|  
|  
| 8/7
| 7/4
| 380.735
| 380.735
|  
|  
Line 745: Line 745:
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|-
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| 12/11
| 11/6
| 380.818
| 380.818
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|-
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| 14/11
| 11/7
| 380.875
| 380.875
|  
|  
Line 775: Line 775:
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| 16/15
| 15/8
| 381.378
| 381.378
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Line 814: Line 814:
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| 16/13
| 13/8
| 359.472
| 359.472
|  
|  
Line 834: Line 834:
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|-
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|  
| 18/13
| 13/9
| 378.489
| 378.489
|  
|  
|-
|-
|  
|  
| 6/5
| 5/3
| 378.910
| 378.910
|  
|  
Line 849: Line 849:
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| 14/13
| 13/7
| 379.100
| 379.100
|  
|  
|-
|-
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|  
| 10/9
| 9/5
| 379.733
| 379.733
|  
|  
Line 861: Line 861:
| 27/20
| 27/20
| 379.968
| 379.968
| 5 limit least squares
| 5-odd-limit least squares
|-
|-
| 19\60
| 19\60
Line 884: Line 884:
|-
|-
|  
|  
| {{vector|0 36 -23 32}}
| {{monzo| 0 36 -23 32 }}
| 380.384
| 380.384
| 9 limit least squares
| 9-odd-limit least squares
|-
|-
|  
|  
| 4/3
| 3/2
| 380.391
| 380.391
| 5, 7 and 9 limit minimax
| 5-, 7- and 9-odd-limit minimax
|-
|-
| 13\41
| 13\41
Line 899: Line 899:
|-
|-
|  
|  
| {{vector|0 1 -7 15}}
| {{monzo| 0 1 -7 15 }}
| 380.506
| 380.506
| 7 limit least squares
| 7-odd-limit least squares
|-
|-
|  
|  
| {{vector|0 47 -34 43 57 -48}}
| {{monzo| 0 47 -34 43 57 -48 }}
| 380.676
| 380.676
| 13 limit least squares
| 13-odd-limit least squares
|-
|-
|  
|  
| {{vector|0 46 -35 49 65 -55}}
| {{monzo| 0 46 -35 49 65 -55 }}
| 380.691
| 380.691
| 15 limit least squares
| 15-odd-limit least squares
|-
|-
|  
|  
| 13/11
| 13/11
| 380.719
| 380.719
| 13 and 15 limit minimax
| 13- and 15-odd-limit minimax
|-
|-
|  
|  
| 8/7
| 7/4
| 380.735
| 380.735
|  
|  
Line 939: Line 939:
|-
|-
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|  
| 16/15
| 15/8
| 381.378
| 381.378
|  
|  
|-
|-
|  
|  
| {{vector|0 19 -36 30 42}}
| {{monzo| 0 19 -36 30 42 }}
| 381.380
| 381.380
| 11 limit least squares
| 11-odd-limit least squares
|-
|-
| 7\22
| 7\22
Line 956: Line 956:
| 11/10
| 11/10
| 381.923
| 381.923
| 11 limit minimax
| 11-odd-limit minimax
|-
|-
|  
|  
Line 974: Line 974:
|-
|-
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| 12/11
| 11/6
| 383.263
| 383.263
|  
|  
Line 989: Line 989:
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| 14/11
| 11/7
| 391.246
| 391.246
|  
|  
Line 1,003: Line 1,003:
|-
|-
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|  
| 14/13
| 13/7
| 378.617
| 378.617
|  
|  
|-
|-
|  
|  
| 6/5
| 5/3
| 378.910
| 378.910
|  
|  
Line 1,023: Line 1,023:
|-
|-
|  
|  
| 18/13
| 13/9
| 379.577
| 379.577
|  
|  
Line 1,033: Line 1,033:
|-
|-
|  
|  
| 10/9
| 9/5
| 379.733
| 379.733
|  
|  
Line 1,040: Line 1,040:
| 27/20
| 27/20
| 379.968
| 379.968
| 5 limit least squares
| 5-odd-limit least squares
|-
|-
|  
|  
Line 1,053: Line 1,053:
|-
|-
|  
|  
| 16/13
| 13/8
| 380.029
| 380.029
|  
|  
Line 1,065: Line 1,065:
| 15/11
| 15/11
| 380.113
| 380.113
| 15 limit minimax
| 15-odd-limit minimax
|-
|-
|  
|  
| 14/11
| 11/7
| 380.119
| 380.119
| 13 limit minimax
| 13-odd-limit minimax
|-
|-
|  
|  
Line 1,078: Line 1,078:
|-
|-
|  
|  
| {{vector|0 -106 -111 11 179 59}}
| {{monzo| 0 -106 -111 11 179 59 }}
| 380.193
| 380.193
| 15 limit least squares
| 15-odd-limit least squares
|-
|-
| 32\101
| 32\101
Line 1,088: Line 1,088:
|-
|-
|  
|  
| {{vector|0 -67 -72 5 152 47}}
| {{monzo| 0 -67 -72 5 152 47 }}
| 380.218
| 380.218
| 13 limit least squares
| 13-odd-limit least squares
|-
|-
|  
|  
Line 1,098: Line 1,098:
|-
|-
|  
|  
| {{vector|0 -38 -55 11 137}}
| {{monzo| 0 -38 -55 11 137 }}
| 380.278
| 380.278
| 11 limit least squares
| 11-odd-limit least squares
|-
|-
|  
|  
Line 1,108: Line 1,108:
|-
|-
|  
|  
| 12/11
| 11/6
| 380.334
| 380.334
|  
|  
Line 1,115: Line 1,115:
| 11/8
| 11/8
| 380.343
| 380.343
| 11 limit minimax
| 11-odd-limit minimax
|-
|-
|  
|  
| {{vector|0 36 -23 32}}
| {{monzo| 0 36 -23 32 }}
| 380.384
| 380.384
| 9 limit least squares
| 9-odd-limit least squares
|-
|-
|  
|  
| 4/3
| 3/2
| 380.391
| 380.391
| 5, 7 and 9 limit minimax
| 5-, 7- and 9-odd-limit minimax
|-
|-
| 13\41
| 13\41
Line 1,138: Line 1,138:
|-
|-
|  
|  
| 8/7
| 7/4
| 380.735
| 380.735
|  
|  
Line 1,158: Line 1,158:
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|-
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|  
| 16/15
| 15/8
| 381.378
| 381.378
|  
|  
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