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== Tuning spectra ==
== Tuning spectra ==
=== Spectrum of magic tunings by eigenmonzos ===
=== Magic tunings ===


Gencom: [2 5/4; 100/99 105/104 144/143 196/195]
Gencom: [2 5/4; 100/99 105/104 144/143 196/195]


Gencom map: [<1 0 2 -1 6 -2|, <0 5 1 12 -8 18|]
Gencom map: [{{map|1 0 2 -1 6 -2}}, {{map|0 5 1 12 -8 18}}]


{| class="wikitable center-1 right-2"
{| class="wikitable center-all"
|-
|-
! Eigenmonzo
! ET<br>generator
! Generator
! [[eigenmonzo|eigenmonzo<br>(unchanged interval]])
! Comments
! generator<br>(¢)
! comments
|-
|-
|
| 14/13
| 14/13
| 378.617
| 378.617
|  
|
|-
|-
|
| 6/5
| 6/5
| 378.910
| 378.910
|  
|
|-
|-
| (6\19)
| 6\19
|
| 378.947
| 378.947
|  
|
|-
|-
|
| 15/13
| 15/13
| 379.355
| 379.355
|  
|
|-
|-
|
| 18/13
| 18/13
| 379.577
| 379.577
|  
|
|-
|-
|
| 13/10
| 13/10
| 379.660
| 379.660
|  
|
|-
|-
|
| 10/9
| 10/9
| 379.733
| 379.733
|  
|
|-
|-
|
| 13/12
| 13/12
| 379.890
| 379.890
|  
|
|-
|-
|
| 27/20
| 27/20
| 379.968
| 379.968
| 5-odd-limit least squares
| 5-odd-limit least squares
|-
|-
| (19\60)
| 19\60
|
| 380.000
| 380.000
|  
|
|-
|-
|
| 16/13
| 16/13
| 380.029
| 380.029
|  
|
|-
|-
|
| 15/14
| 15/14
| 380.093
| 380.093
|  
|
|-
|-
| (32\101)
| 32\101
|
| 380.198
| 380.198
|  
|
|-
|-
|
| 7/5
| 7/5
| 380.228
| 380.228
|  
|
|-
|-
|
| 13/11
| 13/11
| 380.354
| 380.354
| 13- and 15-odd-limit minimax
| 13- and 15-odd-limit minimax
|-
|-
|
| {{monzo| 0 56 -31 46 -94 88 }}
| {{monzo| 0 56 -31 46 -94 88 }}
| 380.377
| 380.377
| 13-odd-limit least squares
| 13-odd-limit least squares
|-
|-
|
| {{monzo| 0 36 -23 32 }}
| {{monzo| 0 36 -23 32 }}
| 380.384
| 380.384
| 9-odd-limit least squares
| 9-odd-limit least squares
|-
|-
|
| {{monzo| 0 58 -29 52 -108 100 }}
| {{monzo| 0 58 -29 52 -108 100 }}
| 380.389
| 380.389
| 15-odd-limit least squares
| 15-odd-limit least squares
|-
|-
|
| 4/3
| 4/3
| 380.391
| 380.391
| 5-, 7- and 9-odd-limit minimax
| 5-, 7- and 9-odd-limit minimax
|-
|-
| (13\41)
| 13\41
|
| 380.488
| 380.488
|  
|
|-
|-
|
| {{monzo| 0 1 -7 15 }}
| {{monzo| 0 1 -7 15 }}
| 380.506
| 380.506
| 7-odd-limit least squares
| 7-odd-limit least squares
|-
|-
|
| 11/9
| 11/9
| 380.700
| 380.700
| 11-odd-limit minimax
| 11-odd-limit minimax
|-
|-
|
| {{monzo| 0 85 -14 52 -68 }}
| {{monzo| 0 85 -14 52 -68 }}
| 380.714
| 380.714
| 11-odd-limit least squares
| 11-odd-limit least squares
|-
|-
|
| 8/7
| 8/7
| 380.735
| 380.735
|  
|
|-
|-
| (33\104)
| 33\104
|
| 380.769
| 380.769
|  
|
|-
|-
|
| 12/11
| 12/11
| 380.818
| 380.818
|  
|
|-
|-
|
| 14/11
| 14/11
| 380.875
| 380.875
|  
|
|-
|-
| (20\63)
| 20\63
|
| 380.952
| 380.952
|  
|
|-
|-
|
| 7/6
| 7/6
| 380.982
| 380.982
|  
|
|-
|-
|
| 11/8
| 11/8
| 381.085
| 381.085
|  
|
|-
|-
|
| 15/11
| 15/11
| 381.211
| 381.211
|  
|
|-
|-
|
| 16/15
| 16/15
| 381.378
| 381.378
|  
|
|-
|-
|
| 11/10
| 11/10
| 381.666
| 381.666
|  
|
|-
|-
| (7\22)
| 7\22
|
| 381.818
| 381.818
|  
|
|-
|-
|
| 9/7
| 9/7
| 382.458
| 382.458
|  
|
|-
|-
|
| 5/4
| 5/4
| 386.314
| 386.314
|  
|
|}
|}


=== Spectrum of necromancy tunings by eigenmonzos ===
=== Necromancy ===


Gencom: [2 5/4; 100/99 225/224 245/243 275/273]
Gencom: [2 5/4; 100/99 225/224 245/243 275/273]


Gencom map: [&lt;1 0 2 -1 6 11|, &lt;0 5 1 12 -8 -23|]
Gencom map: [{{map|1 0 2 -1 6 11}}, {{map|0 5 1 12 -8 -23}}]


{| class="wikitable"
{| class="wikitable center-all"
|-
|-
! | Eigenmonzo
! ET<br>generator
! | Major Third
! | eigenmonzo<br>(unchanged interval)
! | major<br>third (¢)
! | comments
|-
|-
|
| 6/5
| 6/5
| 378.910
| 378.910
|
|-
|-
| 6\19
| 6\19
|
| 378.947
| 378.947
|
|-
|-
|
| 10/9
| 10/9
| 379.733
| 379.733
|
|-
|-
|
| 27/20
| 27/20
| 379.968 (5 limit least squares)
| 379.968
| 5 limit least squares
|-
|-
| 19\60
| 19\60
|
| 380.000
| 380.000
|
|-
|-
|
| 15/14
| 15/14
| 380.093
| 380.093
|
|-
|-
| 32\101
| 32\101
|
| 380.198
| 380.198
|
|-
|-
|
| 7/5
| 7/5
| 380.228
| 380.228
|
|-
|-
| |0 36 -23 32&gt;
|
| 380.384 (9 limit least squares)
| {{vector|0 36 -23 32}}
| 380.384
| 9 limit least squares
|-
|-
|
| 4/3
| 4/3
| 380.391 (5, 7 and 9 limit minimax)
| 380.391
| 5, 7 and 9 limit minimax
|-
|-
| 13\41
| 13\41
|
| 380.488
| 380.488
|
|-
|-
| |0 1 -7 15&gt;
|
| 380.506 (7 limit least squares)
| {{vector|0 1 -7 15}}
| 380.506
| 7 limit least squares
|-
|-
|
| 11/9
| 11/9
| 380.700 (11 limit minimax)
| 380.700
| 11 limit minimax
|-
|-
|
| 18/13
| 18/13
| 380.709 (13 and 15 limit minimax)
| 380.709
| 13 and 15 limit minimax
|-
|-
| |0 85 -14 52 -68&gt;
|
| 380.714 (11 limit least squares)
| {{vector|0 85 -14 52 -68}}
| 380.714
| 11 limit least squares
|-
|-
|
| 13/11
| 13/11
| 380.719
| 380.719
|
|-
|-
|
| 8/7
| 8/7
| 380.735
| 380.735
|
|-
|-
|
| 13/12
| 13/12
| 380.765
| 380.765
|
|-
|-
| 33\104
| 33\104
|
| 380.769
| 380.769
|
|-
|-
| |0 -179 -10 -87 53 158&gt;
|
| 380.785 (13 limit least squares)
| {{vector|0 -179 -10 -87 53 158}}
| 380.785
| 13 limit least squares
|-
|-
|
| 14/13
| 14/13
| 380.809
| 380.809
|
|-
|-
| |0 -222 -53 -93 67 187&gt;
|
| 380.817 (15 limit least squares)
| {{vector|0 -222 -53 -93 67 187}}
| 380.817
| 15 limit least squares
|-
|-
|
| 12/11
| 12/11
| 380.818
| 380.818
|
|-
|-
|
| 16/13
| 16/13
| 380.847
| 380.847
|
|-
|-
|
| 14/11
| 14/11
| 380.875
| 380.875
|
|-
|-
| 20\63
| 20\63
|
| 380.952
| 380.952
|
|-
|-
|
| 15/13
| 15/13
| 380.957
| 380.957
|
|-
|-
|
| 7/6
| 7/6
| 380.982
| 380.982
|
|-
|-
|
| 13/10
| 13/10
| 381.074
| 381.074
|
|-
|-
|
| 11/8
| 11/8
| 381.085
| 381.085
|
|-
|-
|
| 15/11
| 15/11
| 381.211
| 381.211
|
|-
|-
|
| 16/15
| 16/15
| 381.378
| 381.378
|
|-
|-
|
| 11/10
| 11/10
| 381.666
| 381.666
|
|-
|-
| 7\22
| 7\22
|
| 381.818
| 381.818
|
|-
|-
|
| 9/7
| 9/7
| 382.458
| 382.458
|
|-
|-
|
| 5/4
| 5/4
| 386.314
| 386.314
|
|}
|}


=== Spectrum of sorcery tunings by eigenmonzos ===
=== Sorcery ===


Gencom: [2 5/4; 65/64 78/77 91/90 100/99]
Gencom: [2 5/4; 65/64 78/77 91/90 100/99]


Gencom map: [&lt;1 0 2 -1 6 4|, &lt;0 5 1 12 -8 -1|]
Gencom map: [{{map|1 0 2 -1 6 4}}, {{map|0 5 1 12 -8 -1}}]


{| class="wikitable"
{| class="wikitable center-all"
|-
|-
! | Eigenmonzo
! ET<br>generator
! | Major Third
! | eigenmonzo<br>(unchanged interval)
! | major<br>third (¢)
! | comments
|-
|-
|
| 16/13
| 16/13
| 359.472
| 359.472
|
|-
|-
|
| 13/10
| 13/10
| 372.893
| 372.893
|
|-
|-
|
| 13/12
| 13/12
| 376.905
| 376.905
|
|-
|-
|
| 15/13
| 15/13
| 378.249
| 378.249
|
|-
|-
|
| 18/13
| 18/13
| 378.489
| 378.489
|
|-
|-
|
| 6/5
| 6/5
| 378.910
| 378.910
|
|-
|-
| 6\19
| 6\19
|
| 378.947
| 378.947
|
|-
|-
|
| 14/13
| 14/13
| 379.100
| 379.100
|
|-
|-
|
| 10/9
| 10/9
| 379.733
| 379.733
|
|-
|-
|
| 27/20
| 27/20
| 379.968 (5 limit least squares)
| 379.968
| 5 limit least squares
|-
|-
| 19\60
| 19\60
|
| 380.000
| 380.000
|
|-
|-
|
| 15/14
| 15/14
| 380.093
| 380.093
|
|-
|-
| 32\101
| 32\101
|
| 380.198
| 380.198
|
|-
|-
|
| 7/5
| 7/5
| 380.228
| 380.228
|
|-
|-
| |0 36 -23 32&gt;
|
| 380.384 (9 limit least squares)
| {{vector|0 36 -23 32}}
| 380.384
| 9 limit least squares
|-
|-
|
| 4/3
| 4/3
| 380.391 (5, 7 and 9 limit minimax)
| 380.391
| 5, 7 and 9 limit minimax
|-
|-
| |0 -113 12 -65 75 26&gt;
|
| 380.427 (13 limit least squares)
| {{vector|0 -113 12 -65 75 26}}
| 380.427
| 13 limit least squares
|-
|-
| |0 134 9 71 -89 -33&gt;
|
| 380.457 (15 limit least squares)
| {{vector|0 134 9 71 -89 -33}}
| 380.457
| 15 limit least squares
|-
|-
| 13\41
| 13\41
|
| 380.488
| 380.488
|
|-
|-
| |0 1 -7 15&gt;
|
| 380.506 (7 limit least squares)
| {{vector|0 1 -7 15}}
| 380.506
| 7 limit least squares
|-
|-
|
| 11/9
| 11/9
| 380.700 (11, 13 and 15 limit minimax)
| 380.700
| 11, 13 and 15 limit minimax
|-
|-
| |0 85 -14 52 -68&gt;
|
| 380.714 (11 limit least squares)
| {{vector|0 85 -14 52 -68}}
| 380.714
| 11 limit least squares
|-
|-
|
| 8/7
| 8/7
| 380.735
| 380.735
|
|-
|-
| 33\104
| 33\104
|
| 380.769
| 380.769
|
|-
|-
|
| 12/11
| 12/11
| 380.818
| 380.818
|
|-
|-
|
| 14/11
| 14/11
| 380.875
| 380.875
|
|-
|-
| 20\63
| 20\63
|
| 380.952
| 380.952
|
|-
|-
|
| 7/6
| 7/6
| 380.982
| 380.982
|
|-
|-
|
| 11/8
| 11/8
| 381.085
| 381.085
|
|-
|-
|
| 15/11
| 15/11
| 381.211
| 381.211
|
|-
|-
|
| 16/15
| 16/15
| 381.378
| 381.378
|
|-
|-
|
| 11/10
| 11/10
| 381.666
| 381.666
|
|-
|-
| 7\22
| 7\22
|
| 381.818
| 381.818
|
|-
|-
|
| 9/7
| 9/7
| 382.458
| 382.458
|
|-
|-
|
| 13/11
| 13/11
| 384.173
| 384.173
|
|-
|-
|
| 5/4
| 5/4
| 386.314
| 386.314
|
|}
|}


=== Spectrum of telepathy tunings by eigenmonzos ===
=== Telepathy ===


Gencom: [2 5/4; 55/54 65/64 91/90 99/98]
Gencom: [2 5/4; 55/54 65/64 91/90 99/98]


Gencom map: [&lt;1 0 2 -1 -1 4|, &lt;0 5 1 12 14 -1|]
Gencom map: [{{map|1 0 2 -1 -1 4}}, {{map|0 5 1 12 14 -1}}]


{| class="wikitable"
{| class="wikitable center-all"
|-
|-
! | Eigenmonzo
! ET<br>generator
! | Major Third
! | eigenmonzo<br>(unchanged interval)
! | major<br>third (¢)
! | comments
|-
|-
|
| 16/13
| 16/13
| 359.472
| 359.472
|
|-
|-
|
| 13/10
| 13/10
| 372.893
| 372.893
|
|-
|-
|
| 13/12
| 13/12
| 376.905
| 376.905
|
|-
|-
|
| 15/13
| 15/13
| 378.249
| 378.249
|
|-
|-
|
| 18/13
| 18/13
| 378.489
| 378.489
|
|-
|-
|
| 6/5
| 6/5
| 378.910
| 378.910
|
|-
|-
| 6\19
| 6\19
|
| 378.947
| 378.947
|
|-
|-
|
| 14/13
| 14/13
| 379.100
| 379.100
|
|-
|-
|
| 10/9
| 10/9
| 379.733
| 379.733
|
|-
|-
|
| 27/20
| 27/20
| 379.968 (5 limit least squares)
| 379.968
| 5 limit least squares
|-
|-
| 19\60
| 19\60
|
| 380.000
| 380.000
|
|-
|-
|
| 15/14
| 15/14
| 380.093
| 380.093
|
|-
|-
| 32\101
| 32\101
|
| 380.198
| 380.198
|
|-
|-
|
| 7/5
| 7/5
| 380.228
| 380.228
|
|-
|-
| |0 36 -23 32&gt;
|
| 380.384 (9 limit least squares)
| {{vector|0 36 -23 32}}
| 380.384
| 9 limit least squares
|-
|-
|
| 4/3
| 4/3
| 380.391 (5, 7 and 9 limit minimax)
| 380.391
| 5, 7 and 9 limit minimax
|-
|-
| 13\41
| 13\41
|
| 380.488
| 380.488
|
|-
|-
| |0 1 -7 15&gt;
|
| 380.506 (7 limit least squares)
| {{vector|0 1 -7 15}}
| 380.506
| 7 limit least squares
|-
|-
| |0 47 -34 43 57 -48&gt;
|
| 380.676 (13 limit least squares)
| {{vector|0 47 -34 43 57 -48}}
| 380.676
| 13 limit least squares
|-
|-
| |0 46 -35 49 65 -55&gt;
|
| 380.691 (15 limit least squares)
| {{vector|0 46 -35 49 65 -55}}
| 380.691
| 15 limit least squares
|-
|-
|
| 13/11
| 13/11
| 380.719 (13 and 15 limit minimax)
| 380.719
| 13 and 15 limit minimax
|-
|-
|
| 8/7
| 8/7
| 380.735
| 380.735
|
|-
|-
| 33\104
| 33\104
|
| 380.769
| 380.769
|
|-
|-
| 20\63
| 20\63
|
| 380.952
| 380.952
|
|-
|-
|
| 7/6
| 7/6
| 380.982
| 380.982
|
|-
|-
|
| 16/15
| 16/15
| 381.378
| 381.378
|
|-
|-
| |0 19 -36 30 42&gt;
|
| 381.380 (11 limit least squares)
| {{vector|0 19 -36 30 42}}
| 381.380
| 11 limit least squares
|-
|-
| 7\22
| 7\22
|
| 381.818
| 381.818
|
|-
|-
|
| 11/10
| 11/10
| 381.923 (11 limit minimax)
| 381.923
| 11 limit minimax
|-
|-
|
| 11/8
| 11/8
| 382.237
| 382.237
|
|-
|-
|
| 9/7
| 9/7
| 382.458
| 382.458
|
|-
|-
|
| 15/11
| 15/11
| 382.881
| 382.881
|
|-
|-
|
| 12/11
| 12/11
| 383.263
| 383.263
|
|-
|-
|
| 5/4
| 5/4
| 386.314
| 386.314
|
|-
|-
|
| 11/9
| 11/9
| 386.852
| 386.852
|
|-
|-
|
| 14/11
| 14/11
| 391.246
| 391.246
|
|}
|}


=== Spectrum of witchcraft tunings by eigenmonzos ===
=== Witchcraft ===


Gencom: [2 5/4; 105/104 196/195 245/243 275/273]
Gencom: [2 5/4; 105/104 196/195 245/243 275/273]


Gencom map: [&lt;1 0 2 -1 -7 -2|, &lt;0 5 1 12 33 18|]
Gencom map: [{{map|1 0 2 -1 -7 -2}}, {{map|0 5 1 12 33 18}}]


{| class="wikitable"
{| class="wikitable center-all"
|-
|-
! | Eigenmonzo
! ET<br>generator
! | Major Third
! | eigenmonzo<br>(unchanged interval)
! | major<br>third (¢)
! | comments
|-
|-
|
| 14/13
| 14/13
| 378.617
| 378.617
|
|-
|-
|
| 6/5
| 6/5
| 378.910
| 378.910
|
|-
|-
| 6\19
| 6\19
|
| 378.947
| 378.947
|
|-
|-
|
| 15/13
| 15/13
| 379.355
| 379.355
|
|-
|-
|
| 18/13
| 18/13
| 379.577
| 379.577
|
|-
|-
|
| 13/10
| 13/10
| 379.660
| 379.660
|
|-
|-
|
| 10/9
| 10/9
| 379.733
| 379.733
|
|-
|-
|
| 27/20
| 27/20
| 379.968 (5 limit least squares)
| 379.968
| 5 limit least squares
|-
|-
|
| 13/12
| 13/12
| 379.890
| 379.890
|
|-
|-
| 19\60
| 19\60
|
| 380.000
| 380.000
|
|-
|-
|
| 16/13
| 16/13
| 380.029
| 380.029
|
|-
|-
|
| 15/14
| 15/14
| 380.093
| 380.093
|
|-
|-
|
| 15/11
| 15/11
| 380.113 (15 limit minimax)
| 380.113
| 15 limit minimax
|-
|-
|
| 14/11
| 14/11
| 380.119 (13 limit minimax)
| 380.119
| 13 limit minimax
|-
|-
|
| 11/10
| 11/10
| 380.156
| 380.156
|
|-
|-
| |0 -106 -111 11 179 59&gt;
|
| 380.193 (15 limit least squares)
| {{vector|0 -106 -111 11 179 59}}
| 380.193
| 15 limit least squares
|-
|-
| 32\101
| 32\101
|
| 380.198
| 380.198
|
|-
|-
| |0 -67 -72 5 152 47&gt;
|
| 380.218 (13 limit least squares)
| {{vector|0 -67 -72 5 152 47}}
| 380.218
| 13 limit least squares
|-
|-
|
| 7/5
| 7/5
| 380.228
| 380.228
|
|-
|-
| |0 -38 -55 11 137&gt;
|
| 380.278 (11 limit least squares)
| {{vector|0 -38 -55 11 137}}
| 380.278
| 11 limit least squares
|-
|-
|
| 11/9
| 11/9
| 380.322
| 380.322
|
|-
|-
|
| 12/11
| 12/11
| 380.334
| 380.334
|
|-
|-
|
| 11/8
| 11/8
| 380.343 (11 limit minimax)
| 380.343
| 11 limit minimax
|-
|-
| |0 36 -23 32&gt;
|
| 380.384 (9 limit least squares)
| {{vector|0 36 -23 32}}
| 380.384
| 9 limit least squares
|-
|-
|
| 4/3
| 4/3
| 380.391 (5, 7 and 9 limit minimax)
| 380.391
| 5, 7 and 9 limit minimax
|-
|-
| 13\41
| 13\41
|
| 380.488
| 380.488
|
|-
|-
|
| 13/11
| 13/11
| 380.719
| 380.719
|
|-
|-
|
| 8/7
| 8/7
| 380.735
| 380.735
|
|-
|-
| 33\104
| 33\104
|
| 380.769
| 380.769
|
|-
|-
| 20\63
| 20\63
|
| 380.952
| 380.952
|
|-
|-
|
| 7/6
| 7/6
| 380.982
| 380.982
|
|-
|-
|
| 16/15
| 16/15
| 381.378
| 381.378
|
|-
|-
| 7\22
| 7\22
|
| 381.818
| 381.818
|
|-
|-
|
| 9/7
| 9/7
| 382.458
| 382.458
|
|-
|-
|
| 5/4
| 5/4
| 386.314
| 386.314
|
|}
|}


=== Spectrum of muggles tunings by eigenmonzos ===
=== Muggles ===


Gencom: [2 5/4; 45/44 65/64 78/77 126/125]
Gencom: [2 5/4; 45/44 65/64 78/77 126/125]


Gencom map: [&lt;1 0 2 5 0 4|, &lt;0 5 1 -7 11 -1|]
Gencom map: [{{map|1 0 2 5 0 4}}, {{map|0 5 1 -7 11 -1}}]


{| class="wikitable"
{| class="wikitable center-all"
|-
|-
! | Eigenmonzo
! ET<br>generator
! | Major Third
! | eigenmonzo<br>(unchanged interval)
! | major<br>third (¢)
! | comments
|-
|-
|
| 11/9
| 11/9
| 347.408
| 347.408
|
|-
|-
|
| 16/13
| 16/13
| 359.472
| 359.472
|
|-
|-
|
| 15/11
| 15/11
| 372.610
| 372.610
|
|-
|-
|
| 13/10
| 13/10
| 372.893
| 372.893
|
|-
|-
|
| 12/11
| 12/11
| 374.894
| 374.894
|
|-
|-
|
| 8/7
| 8/7
| 375.882
| 375.882
|
|-
|-
|
| 13/11
| 13/11
| 375.899
| 375.899
|
|-
|-
|
| 11/10
| 11/10
| 376.500
| 376.500
|
|-
|-
|
| 14/11
| 14/11
| 376.805
| 376.805
|
|-
|-
|
| 13/12
| 13/12
| 376.905
| 376.905
|
|-
|-
|
| 7/5
| 7/5
| 377.186
| 377.186
|
|-
|-
|
| 11/8
| 11/8
| 377.393 (11, 13 and 15 limit minimax)
| 377.393
| 11, 13 and 15 limit minimax
|-
|-
| |0 113 -12 -68 58 -26&gt;
|
| 377.630 (13 limit least squares)
| {{vector|0 113 -12 -68 58 -26}}
| 377.630
| 13 limit least squares
|-
|-
| |0 -21 -5 27&gt;
|
| 377.640 (7 limit least squares)
| {{vector|0 -21 -5 27}}
| 377.640
| 7 limit least squares
|-
|-
| |0 134 9 -81 63 -33&gt;
|
| 377.718 (15 limit least squares)
| {{vector|0 134 9 -81 63 -33}}
| 377.718
| 15 limit least squares
|-
|-
| |0 85 -14 -62 46&gt;
|
| 377.758 (11 limit least squares)
| {{vector|0 85 -14 -62 46}}
| 377.758
| 11 limit least squares
|-
|-
|
| 7/6
| 7/6
| 377.761 (7 limit minimax)
| 377.761
| 7 limit minimax
|-
|-
|
| 15/13
| 15/13
| 378.249
| 378.249
|
|-
|-
|
| 15/14
| 15/14
| 378.419
| 378.419
|
|-
|-
|
| 18/13
| 18/13
| 378.489
| 378.489
|
|-
|-
|
| 9/7
| 9/7
| 378.534 (9 limit minimax)
| 378.534
| 9 limit minimax
|-
|-
| |0 93 -4 -44&gt;
|
| 378.554 (9 limit least squares)
| {{vector|0 93 -4 -44}}
| 378.554
| 9 limit least squares
|-
|-
|
| 14/13
| 14/13
| 378.617
| 378.617
|
|-
|-
|
| 6/5
| 6/5
| 378.910
| 378.910
|
|-
|-
| 6\19
| 6\19
|
| 378.947
| 378.947
|
|-
|-
|
| 10/9
| 10/9
| 379.733
| 379.733
|
|-
|-
|
| 27/20
| 27/20
| 379.968 (5 limit least squares)
| 379.968
| 5 limit least squares
|-
|-
| 19\60
| 19\60
|
| 380.000
| 380.000
|
|-
|-
| 32\101
| 32\101
|
| 380.198
| 380.198
|
|-
|-
|
| 4/3
| 4/3
| 380.391 (5 limit minimax)
| 380.391
| 5 limit minimax
|-
|-
| 13\41
| 13\41
|
| 380.488
| 380.488
|
|-
|-
| 33\104
| 33\104
|
| 380.769
| 380.769
|
|-
|-
| 20\63
| 20\63
|
| 380.952
| 380.952
|
|-
|-
|
| 16/15
| 16/15
| 381.378
| 381.378
|
|-
|-
| 7\22
| 7\22
|
| 381.818
| 381.818
|
|-
|-
|
| 5/4
| 5/4
| 386.314
| 386.314
|
|}
|}


Retrieved from "https://en.xen.wiki/w/Magic"