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Tuning Spectra

Spectrum of Magic Tunings by Eigenmonzos


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|]
Eigenmonzo
Major Third
14/13
378.617
6/5
378.910
6\19
378.947
15/13
379.355
18/13
379.577
13/10
379.660
10/9
379.733
13/12
379.890
27/20
379.968 (5 limit least squares)
19\60
380.000
16/13
380.029
15/14
380.093
32\101
380.198
7/5
380.228
13/11
380.354 (13 and 15 limit minimax)
|0 56 -31 46 -94 88>
380.377 (13 limit least squares)
|0 36 -23 32>
380.384 (9 limit least squares)
|0 58 -29 52 -108 100>
380.389 (15 limit least squares)
4/3
380.391 (5, 7 and 9 limit minimax)
13\41
380.488
|0 1 -7 15>
380.506 (7 limit least squares)
11/9
380.700 (11 limit minimax)
|0 85 -14 52 -68>
380.714 (11 limit least squares)
8/7
380.735
33\104
380.769
12/11
380.818
14/11
380.875
20\63
380.952
7/6
380.982
11/8
381.085
15/11
381.211
16/15
381.378
11/10
381.666
7\22
381.818
9/7
382.458
5/4
386.314

Spectrum of Necromancy Tunings by Eigenmonzos


Gencom: [2 5/4; 100/99 225/224 245/243 275/273]
Gencom map: [<1 0 2 -1 6 11|, <0 5 1 12 -8 -23|]
Eigenmonzo
Major Third
6/5
378.910
6\19
378.947
10/9
379.733
27/20
379.968 (5 limit least squares)
19\60
380.000
15/14
380.093
32\101
380.198
7/5
380.228
|0 36 -23 32>
380.384 (9 limit least squares)
4/3
380.391 (5, 7 and 9 limit minimax)
13\41
380.488
|0 1 -7 15>
380.506 (7 limit least squares)
11/9
380.700 (11 limit minimax)
18/13
380.709 (13 and 15 limit minimax)
|0 85 -14 52 -68>
380.714 (11 limit least squares)
13/11
380.719
8/7
380.735
13/12
380.765
33\104
380.769
|0 -179 -10 -87 53 158>
380.785 (13 limit least squares)
14/13
380.809
|0 -222 -53 -93 67 187>
380.817 (15 limit least squares)
12/11
380.818
16/13
380.847
14/11
380.875
20\63
380.952
15/13
380.957
7/6
380.982
13/10
381.074
11/8
381.085
15/11
381.211
16/15
381.378
11/10
381.666
7\22
381.818
9/7
382.458
5/4
386.314


Spectrum of Sorcery Tunings by Eigenmonzos


Gencom: [2 5/4; 65/64 78/77 91/90 100/99]
Gencom map: [<1 0 2 -1 6 4|, <0 5 1 12 -8 -1|]
Eigenmonzo
Major Third
16/13
359.472
13/10
372.893
13/12
376.905
15/13
378.249
18/13
378.489
6/5
378.910
6\19
378.947
14/13
379.100
10/9
379.733
27/20
379.968 (5 limit least squares)
19\60
380.000
15/14
380.093
32\101
380.198
7/5
380.228
|0 36 -23 32>
380.384 (9 limit least squares)
4/3
380.391 (5, 7 and 9 limit minimax)
|0 -113 12 -65 75 26>
380.427 (13 limit least squares)
|0 134 9 71 -89 -33>
380.457 (15 limit least squares)
13\41
380.488
|0 1 -7 15>
380.506 (7 limit least squares)
11/9
380.700 (11, 13 and 15 limit minimax)
|0 85 -14 52 -68>
380.714 (11 limit least squares)
8/7
380.735
33\104
380.769
12/11
380.818
14/11
380.875
20\63
380.952
7/6
380.982
11/8
381.085
15/11
381.211
16/15
381.378
11/10
381.666
7\22
381.818
9/7
382.458
13/11
384.173
5/4
386.314


Spectrum of Telepathy Tunings by Eigenmonzos


Gencom: [2 5/4; 55/54 65/64 91/90 99/98]
Gencom map: [<1 0 2 -1 -1 4|, <0 5 1 12 14 -1|]
Eigenmonzo
Major Third
16/13
359.472
13/10
372.893
13/12
376.905
15/13
378.249
18/13
378.489
6/5
378.910
6\19
378.947
14/13
379.100
10/9
379.733
27/20
379.968 (5 limit least squares)
19\60
380.000
15/14
380.093
32\101
380.198
7/5
380.228
|0 36 -23 32>
380.384 (9 limit least squares)
4/3
380.391 (5, 7 and 9 limit minimax)
13\41
380.488
|0 1 -7 15>
380.506 (7 limit least squares)
|0 47 -34 43 57 -48>
380.676 (13 limit least squares)
|0 46 -35 49 65 -55>
380.691 (15 limit least squares)
13/11
380.719 (13 and 15 limit minimax)
8/7
380.735
33\104
380.769
20\63
380.952
7/6
380.982
16/15
381.378
|0 19 -36 30 42>
381.380 (11 limit least squares)
7\22
381.818
11/10
381.923 (11 limit minimax)
11/8
382.237
9/7
382.458
15/11
382.881
12/11
383.263
5/4
386.314
11/9
386.852
14/11
391.246


Spectrum of Witchcraft Tunings by Eigenmonzos


Gencom: [2 5/4; 105/104 196/195 245/243 275/273]
Gencom map: [<1 0 2 -1 -7 -2|, <0 5 1 12 33 18|]
Eigenmonzo
Major Third
14/13
378.617
6/5
378.910
6\19
378.947
15/13
379.355
18/13
379.577
13/10
379.660
10/9
379.733
27/20
379.968 (5 limit least squares)
13/12
379.890
19\60
380.000
16/13
380.029
15/14
380.093
15/11
380.113 (15 limit minimax)
14/11
380.119 (13 limit minimax)
11/10
380.156
|0 -106 -111 11 179 59>
380.193 (15 limit least squares)
32\101
380.198
|0 -67 -72 5 152 47>
380.218 (13 limit least squares)
7/5
380.228
|0 -38 -55 11 137>
380.278 (11 limit least squares)
11/9
380.322
12/11
380.334
11/8
380.343 (11 limit minimax)
|0 36 -23 32>
380.384 (9 limit least squares)
4/3
380.391 (5, 7 and 9 limit minimax)
13\41
380.488
13/11
380.719
8/7
380.735
33\104
380.769
20\63
380.952
7/6
380.982
16/15
381.378
7\22
381.818
9/7
382.458
5/4
386.314


Spectrum of Muggles Tunings by Eigenmonzos


Gencom: [2 5/4; 45/44 65/64 78/77 126/125]
Gencom map: [<1 0 2 5 0 4|, <0 5 1 -7 11 -1|]
Eigenmonzo
Major Third
11/9
347.408
16/13
359.472
15/11
372.610
13/10
372.893
12/11
374.894
8/7
375.882
13/11
375.899
11/10
376.500
14/11
376.805
13/12
376.905
7/5
377.186
11/8
377.393 (11, 13 and 15 limit minimax)
|0 113 -12 -68 58 -26>
377.630 (13 limit least squares)
|0 -21 -5 27>
377.640 (7 limit least squares)
|0 134 9 -81 63 -33>
377.718 (15 limit least squares)
|0 85 -14 -62 46>
377.758 (11 limit least squares)
7/6
377.761 (7 limit minimax)
15/13
378.249
15/14
378.419
18/13
378.489
9/7
378.534 (9 limit minimax)
|0 93 -4 -44>
378.554 (9 limit least squares)
14/13
378.617
6/5
378.910
6\19
378.947
10/9
379.733
27/20
379.968 (5 limit least squares)
19\60
380.000
32\101
380.198
4/3
380.391 (5 limit minimax)
13\41
380.488
33\104
380.769
20\63
380.952
16/15
381.378
7\22
381.818
5/4
386.314