Orwell extensions: Difference between revisions

Tuning spectra: cleanup (2/)
Tuning spectra: cleanup (3/)
Line 72: Line 72:
| 1361367/1000000
| 1361367/1000000
| 271.326
| 271.326
| 7 limit least squares
| 7-odd-limit least squares
|-
|-
|  
|  
| 14/13
| 14/13
| 271.418
| 271.418
| 13 and 15 limit minimax
| 13- and 15-odd-limit minimax
|-
|-
| 19\84
| 19\84
Line 85: Line 85:
|-
|-
|  
|  
| {{vector|0 119 -46 20 -16}}
| {{monzo| 0 119 -46 20 -16 }}
| 271.445
| 271.445
| 11 limit least squares
| 11-odd-limit least squares
|-
|-
|  
|  
| <math>x^{10} + 2x^3 = 8</math>
| ''f''<sup>10</sup> + 2''f''<sup>3</sup> - 8 = 0
| 271.508
| 271.508
| equal beating
| Equal beating tuning
|-
|-
|  
|  
Line 100: Line 100:
|-
|-
|  
|  
| {{vector|0 90 -41 14}}
| {{monzo| 0 90 -41 14 }}
| 271.561
| 271.561
| 9 limit least squares
| 9-odd-limit least squares
|-
|-
|  
|  
| 6/5
| 6/5
| 271.564
| 271.564
| 5 limit minimax
| 5-odd-limit minimax
|-
|-
|  
|  
| {{vector|0 -211 30 -47 -5 142}}
| {{monzo| 0 -211 30 -47 -5 142 }}
| 271.567
| 271.567
| 13 limit least squares
| 13-odd-limit least squares
|-
|-
|  
|  
| {{vector|0 -236 5 -51 -3 165}}
| {{monzo| 0 -236 5 -51 -3 165 }}
| 271.570
| 271.570
| 15 limit least squares
| 15-odd-limit least squares
|-
|-
|  
|  
| 1220703125/1033121304
| 1220703125/1033121304
| 271.590
| 271.590
| 5 limit least squares
| 5-odd-limit least squares
|-
|-
|  
|  
Line 142: Line 142:
| 10/9
| 10/9
| 271.623
| 271.623
| 9 limit minimax
| 9-odd-limit minimax
|-
|-
|  
|  
Line 255: Line 255:
|-
|-
|  
|  
| {{vector|0 112 -67 20 -28 52}}
| {{monzo| 0 112 -67 20 -28 52 }}
| 270.860
| 270.860
| 15 limit least squares
| 15-odd-limit least squares
|-
|-
|  
|  
| {{vector|0 118 -61 16 -26 44}}
| {{monzo| 0 118 -61 16 -26 44 }}
| 270.933
| 270.933
| 13 limit least squares
| 13-odd-limit least squares
|-
|-
| 7\31
| 7\31
Line 272: Line 272:
| 11/9
| 11/9
| 271.049
| 271.049
| 13 and 15 limit minimax
| 13- and 15-odd-limit minimax
|-
|-
|  
|  
Line 292: Line 292:
| 1361367/1000000
| 1361367/1000000
| 271.326
| 271.326
| 7 limit least squares
| 7-odd-limit least squares
|-
|-
| 19\84
| 19\84
Line 300: Line 300:
|-
|-
|  
|  
| {{vector|0 119 -46 20 -16}}
| {{monzo| 0 119 -46 20 -16 }}
| 271.445
| 271.445
| 11 limit least squares
| 11-odd-limit least squares
|-
|-
|  
|  
| <math>x^{10} + 2x^3 = 8</math>
| ''f''<sup>10</sup> + 2''f''<sup>3</sup> - 8 = 0
| 271.508
| 271.508
| equal beating
| Equal beating tuning
|-
|-
|  
|  
| {{vector|0 90 -41 14}}
| {{monzo| 0 90 -41 14 }}
| 271.561
| 271.561
| 9 limit least squares
| 9-odd-limit least squares
|-
|-
|  
|  
| 6/5
| 6/5
| 271.564
| 271.564
| 5 limit minimax
| 5-odd-limit minimax
|-
|-
|  
|  
| 1220703125/1033121304
| 1220703125/1033121304
| 271.590
| 271.590
| 5 limit least squares
| 5-odd-limit least squares
|-
|-
|  
|  
| 10/9
| 10/9
| 271.623
| 271.623
| 9 limit minimax
| 9-odd-limit minimax
|-
|-
| 12\53
| 12\53
Line 372: Line 372:
=== Blair ===
=== Blair ===


{| class="wikitable left-4"
{| class="wikitable center-all left-4"
|-
|-
! Edo<br>generators
! Edo<br>generators
Line 441: Line 441:
|  
|  
| 7/5
| 7/5
| 271.137 (7, 11, 13 and 15 limit minimax)
| 271.137
|
| 7-, 11-, 13- and 15-odd-limit minimax
|-
|-
|  
|  
Line 450: Line 450:
|-
|-
|  
|  
| |0 148 -49 29 -19 -11&gt;
| {{monzo| 0 148 -49 29 -19 -11 }}
| 271.231 (15 limit least squares)
| 271.231
|
| 15-odd-limit least squares
|-
|-
|  
|  
| |0 145 -52 25 -17 -10&gt;
| {{monzo| 0 145 -52 25 -17 -10 }}
| 271.261 (13 limit least squares)
| 271.261
|
| 13-odd-limit least squares
|-
|-
|  
|  
| 1361367/1000000
| 1361367/1000000
| 271.326 (7 limit least squares)
| 271.326
|
| 7-odd-limit least squares
|-
|-
|  
|  
Line 470: Line 470:
|-
|-
|  
|  
| |0 119 -46 20 -16&gt;
| {{monzo| 0 119 -46 20 -16 }}
| 271.445 (11 limit least squares)
| 271.445
|
| 11-odd-limit least squares
|-
|-
|  
|  
| x^10 + 2x^3 = 8
| ''f''<sup>10</sup> + 2''f''<sup>3</sup> - 8 = 0
| 271.508 (equal beating)
| 271.508
|  
| Equal beating tuning
|-
|-
|  
|  
| |0 90 -41 14&gt;
| {{monzo| 0 90 -41 14 }}
| 271.561 (9 limit least squares)
| 271.561
|
| 9-odd-limit least squares
|-
|-
|  
|  
| 6/5
| 6/5
| 271.564 (5 limit minimax)
| 271.564
|
| 5-odd-limit minimax
|-
|-
|  
|  
| 1220703125/1033121304
| 1220703125/1033121304
| 271.590 (5 limit least squares)
| 271.590
|
| 5-odd-limit least squares
|-
|-
|  
|  
| 10/9
| 10/9
| 271.623 (9 limit minimax)
| 271.623
|
| 9-odd-limit minimax
|-
|-
|  
|