Pajara extensions

Tuning Spectra

Spectrum of Pajara Tunings by Eigenmonzos

Gencom: [7/5 3/2; 50/49 64/63 65/63 99/98]

Gencom map: [<2 2 7 8 14 5|, <0 1 -2 -2 -6 2|]

Eigenmonzo	Fifth
4/3	701.955
14/11	704.377
10/9	704.399
6/5	705.214 (5 limit minimax)
3125/2592	705.447 (5 limit least squares)
20\34	705.882
11/9	706.574
5/4	706.843
|0 -50 5 5 29>	707.106 (11 limit least squares)
33\56	707.143
12/11	707.234
35/27	707.246 (9 limit least squares)
15/11	707.390
11/8	708.114
11/10	708.749 (11 limit minimax)
9/7	708.771 (9 limit minimax)
71663616/52521875	708.814 (7 limit least squares)
|0 -49 9 9 37 -19>	708.901 (13 limit least squares)
|0 -51 7 10 42 -22>	709.038 (15 limit least squares)
13\22	709.091
7/6	711.043 (7 limit minimax)
32\54	711.111
13/11	711.151 (13 and 15 limit minimax)
16/15	711.731
19\32	712.500
13/10	713.553
8/7	715.587
15/13	717.420
14/13	717.925
15/14	719.443
16/13	720.264
13/12	738.573

Spectrum of Pajarous Tunings by Eigenmonzos

Gencom: [7/5 3/2; 50/49 55/54 64/63 65/63]

Gencom map: [<2 2 7 8 1 5|, <0 1 -2 -2 5 2|]

Eigenmonzo	Fifth
4/3	701.955
13/11	703.597
10/9	704.399
6/5	705.214 (5 limit minimax)
3125/2592	705.447 (5 limit least squares)
20\34	705.882
5/4	706.843
33\56	707.143
35/27	707.246 (9 limit least squares)
9/7	708.771 (9, 13 and 15 limit minimax)
71663616/52521875	708.814 (7 limit least squares)
13\22	709.091
11/10	709.286 (11 limit minimax)
|0 17 -16 -16 26>	709.883 (11 limit least squares)
11/8	710.264
15/11	710.508
|0 16 -20 -20 29 8>	710.665 (13 limit least squares)
|0 7 -29 -21 35 11>	710.879 (15 limit least squares)
7/6	711.043 (7 limit minimax)
32\54	711.111
16/15	711.731
14/11	711.785
12/11	712.341
19\32	712.500
13/10	713.553
8/7	715.587
11/9	715.803
15/13	717.420
14/13	717.925
15/14	719.443
16/13	720.264
13/12	738.573

Spectrum of Pajaro Tunings by Eigenmonzos

Gencom: [7/5 3/2; 40/39 50/49 55/54 64/63]

Gencom map: [<2 2 7 8 1 11|, <0 1 -2 -2 5 -3|]

Eigenmonzo	Fifth
4/3	701.955
10/9	704.399
6/5	705.214 (5 limit minimax)
3125/2592	705.447 (5 limit least squares)
20\34	705.882
5/4	706.843
33\56	707.143
35/27	707.246 (9 limit least squares)
9/7	708.771 (9 limit minimax)
71663616/52521875	708.814 (7 limit least squares)
13\22	709.091
11/10	709.286 (11 limit minimax)
|0 17 -16 -16 26>	709.883 (11 limit least squares)
11/8	710.264
15/11	710.508
7/6	711.043 (7 limit minimax)
32\54	711.111
|0 31 -15 -15 34 -22>	711.580 (13 limit least squares)
|0 27 -19 -16 40 -24>	711.631 (15 limit least squares)
16/15	711.731
14/11	711.785
12/11	712.341
19\32	712.500
18/13	712.676 (13 and 15 limit minimax)
13/11	713.849
13/12	715.357
8/7	715.587
11/9	715.803
15/14	719.443
16/13	719.824
15/13	723.871
14/13	728.298
13/10	745.786

Spectrum of Pajaric Tunings by Eigenmonzos

Gencom: [7/5 3/2; 40/39 45/44 50/49 56/55]

Gencom map: [<2 2 7 8 7 11|, <0 1 -2 -2 0 -3|]

Eigenmonzo	Fifth
15/11	663.049
11/10	682.502
14/11	691.246
4/3	701.955
13/11	703.597
10/9	704.399
6/5	705.214 (5 limit minimax)
3125/2592	705.447 (5 limit least squares)
20\34	705.882
|0 -32 11 11 -1>	706.676 (11 limit least squares)
5/4	706.843 (11, 13 and 15 limit minimax)
33\56	707.143
35/27	707.246 (9 limit least squares)
9/7	708.771 (9 limit minimax)
71663616/52521875	708.814 (7 limit least squares)
13\22	709.091
|0 -46 10 10 -4 17>	709.889 (13 limit least squares)
|0 -47 9 11 -5 19>	710.032 (15 limit least squares)
7/6	711.043 (7 limit minimax)
32\54	711.111
16/15	711.731
19\32	712.500
18/13	712.676
13/12	715.357
8/7	715.587
15/14	719.443
16/13	719.824
15/13	723.871
11/9	726.296
14/13	728.298
13/10	745.786
12/11	750.637