Negri extensions

Negri temperament has various extensions to the 11 limit.

Tuning Spectra

Spectrum of Negri Tunings by Eigenmonzos

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

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

Eigenmonzo	Supersecor
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

Spectrum of Negril Tunings by Eigenmonzos

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

Gencom map: [<1 2 2 3 2 4|, <0 -4 3 -2 14 -3|]

Eigenmonzo	Supersecor
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

Spectrum of Negric Tunings by Eigenmonzos

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

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

Eigenmonzo	Supersecor
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

Spectrum of Negroni Tunings by Eigenmonzos

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

Gencom map: [<1 2 2 3 5 4|, <0 -4 3 -2 -15 -3|]

Eigenmonzo	Supersecor
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 minimx)
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