Mercator family: Difference between revisions

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== Joliet ==
== Joliet ==
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.
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: 225/224, 1728/1715, 3125/3087
Comma list: 225/224, 1728/1715, 3125/3087


POTE generator: ~4125/4096 = 8.8283
POTE generator: ~176/175 = 8.8283


Mapping: [{{val| 53 84 123 149 0 }}, {{val| 0 0 0 0 1 }}]
Mapping: [{{val| 53 84 123 149 0 }}, {{val| 0 0 0 0 1 }}]
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Comma list: 169/168, 225/224, 325/324, 640/637
Comma list: 169/168, 225/224, 325/324, 640/637


POTE generator: ~4125/4096 = 8.1254
POTE generator: ~176/175 = 8.1254


Mapping: [{{val| 53 84 123 149 0 196 }}, {{val| 0 0 0 0 1 0 }}]
Mapping: [{{val| 53 84 123 149 0 196 }}, {{val| 0 0 0 0 1 0 }}]