Magic family: Difference between revisions

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 == Muggles ==
+{{main| Muggles }}
 Aside from 3125/3072 and 525/512 muggles also tempers out [[126/125]] and 1323/1280. A good muggles tuning is [[19edo]], in which tuning it's the same thing as magic. Muggles works better for small scales than magic in the sense that 7- or 10-note MOS are reasonable choices, as while the flatter generator compromises the accuracy of the 5-limit intervals, it grants simpler access to some higher-limit ones, and makes the small steps larger and more melodically effective.
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 Badness: 0.048038
-=== 13-limit ===
+==== 13-limit ====
 Subgroup: 2.3.5.7.11.13
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 Mapping: [{{val| 1 0 2 5 0 4 }}, {{val| 0 5 1 -7 11 -1 }}]
-POTE generator: ~5/4 = 377.724
+POTE generator: ~5/4 = 377.653
 Optimal GPV sequence: {{Val list| 16, 19, 35f, 54bdf }}
 Badness: 0.030386
+=== Muggloid ===
+Subgroup: 2.3.5.7.11
+Comma list: 33/32, 126/125, 176/175
+Mapping: [{{val| 1 0 2 5 5 }}, {{val| 0 5 1 -7 -5 }}]
+POTE generator: ~5/4 = 377.832
+Optimal GPV sequence: {{Val list| 3, 10bd, 13bd, 16, 19e }}
+Badness: 0.046970
+==== 13-limit ====
+Subgroup: 2.3.5.7.11.13
+Comma list: 33/32, 65/64, 105/104, 126/125
+Mapping: [{{val| 1 0 2 5 5 4 }}, {{val| 0 5 1 -7 -5 -1 }}]
+POTE generator: ~5/4 = 377.838
+Optimal GPV sequence: {{Val list| 3, 10bd, 13bd, 16, 19e }}
+Badness: 0.028732
 == Astrology ==