Negri extensions: Difference between revisions

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Simplify the ratios in the tuning spectra
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! Edo<br>generator
! Edo<br>generator
! [[Eigenmonzo|Eigenmonzo<br>(unchanged-interval]])
! [[Eigenmonzo|Eigenmonzo<br>(unchanged-interval)]]
! Generator (¢)
! Generator (¢)
! Comments
! Comments
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| 7- and 9-odd-limit minimax
| 7- and 9-odd-limit minimax
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| 30517578125/26795786661
| {{monzo| 0 -13 15 -5 }}
| 125.469
| 125.469
| 7-odd-limit least squares
| 7-odd-limit least squares
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|-
|  
|  
| {{vector|0 63 -26 -1}}
| {{monzo| 0 63 -26 -1 }}
| 125.579
| 125.579
| 9-odd-limit least squares
| 9-odd-limit least squares
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| 10/9
| 9/5
| 125.673
| 125.673
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| 11337408/9765625
| {{monzo| 6 11 -10 }}
| 126.238
| 126.238
| 5-odd-limit least squares
| 5-odd-limit least squares
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| 6/5
| 5/3
| 126.337
| 126.337
| 5-odd-limit minimax
| 5-odd-limit minimax
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| {{vector|0 79 -40 -5 16 2}}
| {{monzo| 0 79 -40 -5 16 2 }}
| 126.445
| 126.445
| 13-odd-limit least squares
| 13-odd-limit least squares
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|-
|  
|  
| {{vector|0 34 -17 -2 7}}
| {{monzo| 0 34 -17 -2 7 }}
| 126.511
| 126.511
| 11-odd-limit least squares
| 11-odd-limit least squares
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|-
|  
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| {{vector|0 73 -46 -4 20 4}}
| {{monzo| 0 73 -46 -4 20 4 }}
| 126.619
| 126.619
| 15-odd-limit least squares
| 15-odd-limit least squares
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| 127.324
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| 124.511
| 124.511
| 7-, 9-, 11-, 13- and 15-odd-limit minimax
| 7-, 9-, 11-, 13- and 15-odd-limit minimax
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|  
|  
| {{vector|0 -149 8 -15 113 -23}}
| {{monzo| 0 -149 8 -15 113 -23 }}
| 124.700
| 124.700
| 15-odd-limit least squares
| 15-odd-limit least squares
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|-
|  
|  
| {{vector|0 -136 21 -14 98 -21}}
| {{monzo| 0 -136 21 -14 98 -21 }}
| 124.764
| 124.764
| 13-odd-limit least squares
| 13-odd-limit least squares
|-
|-
|  
|  
| {{vector|0 -125 15 -15 81}}
| {{monzo| 0 -125 15 -15 81 }}
| 124.854
| 124.854
| 11-odd-limit least squares
| 11-odd-limit least squares
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| 12/11
| 11/6
| 124.965
| 124.965
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| 30517578125/26795786661
| {{monzo| 0 -13 15 -5 }}
| 125.469
| 125.469
| 7-odd-limit least squares
| 7-odd-limit least squares
|-
|-
|  
|  
| {{vector|0 63 -26 -1}}
| {{monzo| 0 63 -26 -1 }}
| 125.579
| 125.579
| 9-odd-limit least squares
| 9-odd-limit least squares
|-
|-
|  
|  
| 10/9
| 9/5
| 125.673
| 125.673
|  
|  
|-
|-
|  
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| 11337408/9765625
| {{monzo| 6 11 -10 }}
| 126.238
| 126.238
| 5-odd-limit least squares
| 5-odd-limit least squares
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|  
| 6/5
| 5/3
| 126.337
| 126.337
| 5-odd-limit minimax
| 5-odd-limit minimax
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| 13/9
| 127.324
| 127.324
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| 119.824
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| 4/3
| 3/2
| 124.511
| 124.511
| 7- and 9-odd-limit minimax
| 7- and 9-odd-limit minimax
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|-
|  
|  
| 30517578125/26795786661
| {{monzo| 0 -13 15 -5 }}
| 125.469
| 125.469
| 7-odd-limit least squares
| 7-odd-limit least squares
|-
|-
|  
|  
| {{vector|0 63 -26 -1}}
| {{monzo| 0 63 -26 -1 }}
| 125.579
| 125.579
| 9-odd-limit least squares
| 9-odd-limit least squares
|-
|-
|  
|  
| 10/9
| 9/5
| 125.673
| 125.673
|  
|  
|-
|-
|  
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| 11337408/9765625
| {{monzo| 6 11 -10 }}
| 126.238
| 126.238
| 5-odd-limit least squares
| 5-odd-limit least squares
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|  
| 6/5
| 5/3
| 126.337
| 126.337
| 5-odd-limit minimax
| 5-odd-limit minimax
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| 18/13
| 13/9
| 127.324
| 127.324
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| {{vector|0 106 -31 4 -38 11}}
| {{monzo| 0 106 -31 4 -38 11 }}
| 127.602
| 127.602
| 13-odd-limit least squares
| 13-odd-limit least squares
Line 675: Line 680:
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|-
|  
|  
| {{vector|0 -95 25 -5 31}}
| {{monzo| 0 -95 25 -5 31 }}
| 127.706
| 127.706
| 11 limit least squares
| 11 limit least squares
|-
|-
|  
|  
| {{vector|0 109 -28 5 -43 13}}
| {{monzo| 0 109 -28 5 -43 13 }}
| 127.718
| 127.718
| 15-odd-limit least squares
| 15-odd-limit least squares
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| 128.298
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| 119.824
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| 122.785
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| {{vector|0 19 -22 -7 32}}
| {{monzo| 0 19 -22 -7 32 }}
| 124.180
| 124.180
| 11-odd-limit least squares
| 11-odd-limit least squares
|-
|-
|  
|  
| {{vector|0 33 -66 -14 90 -6}}
| {{monzo| 0 33 -66 -14 90 -6 }}
| 124.186
| 124.186
| 15-odd-limit least squares
| 15-odd-limit least squares
|-
|-
|  
|  
| {{vector|0 49 -50 -15 76 -8}}
| {{monzo| 0 49 -50 -15 76 -8 }}
| 124.215
| 124.215
| 13-odd-limit least squares
| 13-odd-limit least squares
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| 14/11
| 11/7
| 124.424
| 124.424
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| 4/3
| 3/2
| 124.511
| 124.511
| 7- and 9-odd-limit minimax
| 7- and 9-odd-limit minimax
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|-
|-
|  
|  
| 30517578125/26795786661
| {{monzo| 0 -13 15 -5 }}
| 125.469
| 125.469
| 7-odd-limit least squares
| 7-odd-limit least squares
|-
|-
|  
|  
| {{vector|0 63 -26 -1}}
| {{monzo| 0 63 -26 -1 }}
| 125.579
| 125.579
| 9-odd-limit least squares
| 9-odd-limit least squares
|-
|-
|  
|  
| 10/9
| 9/5
| 125.673
| 125.673
|  
|  
|-
|-
|  
|  
| 11337408/9765625
| {{monzo| 6 11 -10 }}
| 126.238
| 126.238
| 5-odd-limit least squares
| 5-odd-limit least squares
|-
|-
|  
|  
| 6/5
| 5/3
| 126.337
| 126.337
| 5-odd-limit minimax
| 5-odd-limit minimax
|-
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| 18/13
| 13/9
| 127.324
| 127.324
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| 128.298
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