Negri extensions

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Negri temperament has various extensions to the 11 limit.

Tuning spectra

Negri

Gencom: [2 15/14; 45/44 49/48 56/55 78/77]

Gencom mapping: [<1 2 2 3 4 4|, <0 -4 3 -2 -5 -3|]

ET generator eigenmonzo
(unchanged interval
)
supersecor
(¢)
comments
16/15 111.731
8/7 115.587
11/9 115.803
15/14 119.443
16/13 119.824
1\10 120.000
7/5 123.498
15/13 123.871
3\29 124.138
13/10 124.298
4/3 124.511 7 and 9 limit minimax
5\48 125.000
30517578125/26795786661 125.469 7 limit least squares
[0 63 -26 -1 125.579 9 limit least squares
10/9 125.673
11337408/9765625 126.238 5 limit least squares
2\19 126.316
6/5 126.337 5 limit minimax
[0 79 -40 -5 16 2 126.445 13 limit least squares
[0 34 -17 -2 7 126.511 11 limit least squares
[0 73 -46 -4 20 4 126.619 15 limit least squares
18/13 127.324
9/7 127.486 11, 13 and 15 limit minimax
5\47 127.660
14/13 128.298
3\28 128.571
5/4 128.771
11/10 129.374
11/8 129.736
7/6 133.435
15/11 134.238
13/12 138.573
14/11 139.169
13/11 144.605
12/11 150.637

Negril

Gencom: [2 15/14; 49/48 65/64 91/90 875/858]

Gencom mapping: [1 2 2 3 2 4], 0 -4 3 -2 14 -3]]

ET
generator
eigenmonzo
(unchanged interval)
supersecor
(¢)
comments
16/15 111.731
8/7 115.587
15/14 119.443
16/13 119.824
1\10 120.000
7/5 123.498
15/13 123.871
14/11 123.906
11/10 124.091
3\29 124.138
13/11 124.164
15/11 124.203
13/10 124.298
4/3 124.511 7, 9, 11, 13 and 15 limit minimax
[0 -149 8 -15 113 -23 124.700 15 limit least squares
[0 -136 21 -14 98 -21 124.764 13 limit least squares
[0 -125 15 -15 81 124.854 11 limit least squares
11/9 124.882
12/11 124.965
5\48 125.000
11/8 125.094
30517578125/26795786661 125.469 7 limit least squares
[0 63 -26 -1 125.579 9 limit least squares
10/9 125.673
11337408/9765625 126.238 5 limit least squares
2\19 126.316
6/5 126.337 5 limit minimax
18/13 127.324
9/7 127.486
5\47 127.660
14/13 128.298
3\28 128.571
5/4 128.771
7/6 133.435
13/12 138.573

Negric

Gencom: [2 15/14; 33/32 49/48 65/64 91/90]

Gencom mapping: [1 2 2 3 3 4], 0 -4 3 -2 4 -3]]

ET
generator
eigenmonzo
(unchanged interval)
supersecor
(¢)
comments
16/15 111.731
8/7 115.587
15/14 119.443
16/13 119.824
1\10 120.000
7/5 123.498
15/13 123.871
3\29 124.138
13/10 124.298
4/3 124.511 7 and 9 limit minimax
5\48 125.000
30517578125/26795786661 125.469 7 limit least squares
[0 63 -26 -1 125.579 9 limit least squares
10/9 125.673
11337408/9765625 126.238 5 limit least squares
2\19 126.316
6/5 126.337 5 limit minimax
18/13 127.324
9/7 127.486
[0 106 -31 4 -38 11 127.602 13 limit least squares
5\47 127.660
[0 -95 25 -5 31 127.706 11 limit least squares
[0 109 -28 5 -43 13 127.718 15 limit least squares
14/13 128.298
3\28 128.571
5/4 128.771
11/9 128.951 11, 13 and 15 limit minimax
13/11 130.113
14/11 130.415
12/11 131.170
15/11 132.610
7/6 133.435
11/8 137.829
13/12 138.573
11/10 165.004

Negroni

Gencom: [2 15/14; 49/48 55/54 65/64 91/90]

Gencom mapping: [1 2 2 3 5 4], 0 -4 3 -2 -15 -3]]

ET
generator
eigenmonzo
(unchanged interval)
supersecor
(¢)
comments
16/15 111.731
8/7 115.587
15/14 119.443
16/13 119.824
1\10 120.000
11/9 121.799 11, 13 and 15 limit minimax
12/11 122.785
11/8 123.245
7/5 123.498
15/13 123.871
15/11 124.068
13/11 124.101
3\29 124.138
11/10 124.166
[0 19 -22 -7 32 124.180 11 limit least squares
[0 33 -66 -14 90 -6 124.186 15 limit least squares
[0 49 -50 -15 76 -8 124.215 13 limit least squares
13/10 124.298
14/11 124.424
4/3 124.511 7 and 9 limit minimax
5\48 125.000
30517578125/26795786661 125.469 7 limit least squares
[0 63 -26 -1 125.579 9 limit least squares
10/9 125.673
11337408/9765625 126.238 5 limit least squares
6/5 126.337 5 limit minimax
18/13 127.324
9/7 127.486
5\47 127.660
14/13 128.298
3\28 128.571
5/4 128.771
7/6 133.435
13/12 138.573