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Garibaldi is a 7-limit (and higher) temperament of the schismatic family. It is an extension of helmholtz temperament beyond the 5 limit but with the same simple chain-of-fifths structure (so that standard notation may be used). As in helmholtz temperament, 5/4 is mapped to the diminished fourth (e.g. A-Db), and the new mapping specific to garibaldi is that 7/4 is mapped to the double diminished octave (e.g. A-Abb). This makes garibaldi a marvel temperament.

Spectrum of Garibaldi Tunings by Eigenmonzos

Eigenmonzo
Fifth
16/15
701.676
69\118
701.695
5/4
701.711
[0 -10 17>
701.728 (5 limit least squares)
6/5
701.738 (5 limit minimax)
100\171
701.754
10/9
701.760
31\53
701.887
15/13
701.9355
13/10
701.9362
4/3
701.955
16/13
702.026
13/12
702.030
18/13
702.034
86\147
702.041
11/10
702.097
15/11
702.102
14/13
702.109 (13 and 15 limit minimax)
[0 -95 -137 -129 167 143>
702.112 (15 limit least squares)
[0 -27 7 17>
702.114 (9 limit least squares)
55\94
702.12766
[0 -38 -80 -122 137 116>
702.12770 (13 limit least squares)
[0 -25 11 35>
702.140 (7 limit least squares)
[0 17 -52 -88 134>
702.183 (11 limit least squares)
9/7
702.193 (9 and 11 limit minimax)
7/6
702.209 (7 limit minimax)
79\135
702.222
8/7
702.227
14/11
702.230
11/8
702.231
12/11
702.244
11/9
702.258
24\41
702.439
15/14
702.778
7/5
702.915
17\29
703.448
13/11
703.597