Mercator family: Difference between revisions

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 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 Joliet- an extension to the ISO 9660 file system.
-Comma list:
+Comma list: 225/224, 1728/1715, 3125/3087
-POTE generator:
+POTE generator: ~4125/4096 = 8.8283
-Mapping:
+Mapping: [{{val| 53 84 123 149 0 }}, {{val| 0 0 0 0 1 }}]
-Mapping generators:
+Mapping generators: ~81/80, ~11/1
-Vals:
+{{Val list|legend=1| 53, 106, 159d }}
-Badness:
+Badness: 0.0633
 === 13-limit ===
-Comma list:
+Comma list: 169/168, 225/224, 325/324, 640/637
-POTE generator:
+POTE generator: ~4125/4096 = 8.1254
-Mapping:
+Mapping: [{{val| 53 84 123 149 0 196 }}, {{val| 0 0 0 0 1 0 }}]
-Mapping generators:
+Mapping generators: ~81/80, ~11/1
-Vals:
+{{Val list|legend=1| 53, 106, 159d }}
-Badness:
+Badness: 0.0370
 == Cartography ==