Mercator family: Difference between revisions

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 = Joliet =
-Joliet can be characterized as the 53 & 106 temperament, having 7-limit representation akin to 53edo.  Unlike Schismerc, Joliet does not have good 11-limit extensions. The name for this temperament is a reference to 106 being the maximum number of characters in the Joliet extension to the ISO 9660 file system.
+Joliet can be characterized as the 53 & 106 temperament, having 7-limit representation akin to 53edo with the addition of harmonic 11 represented by an independent generator. The name for this temperament is a reference to 106 being the maximum number of characters in the Joliet extension to the ISO 9660 file system.
 Comma list: 225/224, 1728/1715, 3125/3087
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 Badness: 0.0633
+== 13-limit ==
+Comma list: 169/168, 225/224, 325/324, 640/637
+POTE generator: ~176/175 = 8.1254
+Mapping: [{{val| 53 84 123 149 0 196 }}, {{val| 0 0 0 0 1 0 }}]
+Mapping generators: ~81/80, ~11/1
+{{Val list|legend=1| 53, 106, 159d }}
+Badness: 0.0370
 [[Category:Theory]]