Muggles

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Muggles is the rank-2 temperament tempering out 126/125, the starling comma, and 525/512, Avicenna's enharmonic diesis. It is an alternative 7-limit extension to magic.

See Magic family #Muggles for more technical data.

Tuning spectra

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]]

ET
Generator
Eigenmonzo
(Unchanged Interval)
Generator
(¢)
Comments
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-odd-limit minimax
[0 113 -12 -68 58 -26 377.630 13-odd-limit least squares
[0 -21 -5 27 377.640 7-odd-limit least squares
[0 134 9 -81 63 -33 377.718 15-odd-limit least squares
[0 85 -14 -62 46 377.758 11-odd-limit least squares
7/6 377.761 7-odd-limit minimax
15/13 378.249
15/14 378.419
18/13 378.489
9/7 378.534 9-odd-limit minimax
[0 93 -4 -44 378.554 9-odd-limit least squares
14/13 378.617
6/5 378.910
6\19 378.947
10/9 379.733
27/20 379.968 5-odd-limit least squares
19\60 380.000
32\101 380.198
4/3 380.391 5-odd-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