Nexus family: Difference between revisions
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== Nexus == | == Nexus == | ||
The 11-limit parent comma for the Nexus family is the the nexus comma with a ratio of 1771561/1769472 and a monzo of {{monzo|-16 -3 0 0 6}}. This is a rank-4 temperament. | The 11-limit parent comma for the Nexus family is the the nexus comma with a ratio of 1771561/1769472 and a monzo of {{monzo|-16 -3 0 0 6}}. This is a rank-4 temperament in which the 5-limit and 7-limit parts are represented by independent generators. | ||
Period: ~121/96 = 1\3 | Period: ~121/96 = 1\3 | ||
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Mapping: [{{val| 3 0 0 0 8}}, {{val| 0 2 0 0 1}}, {{val| 0 0 1 0 0}}, {{val| 0 0 0 1 0}}] | Mapping: [{{val| 3 0 0 0 8}}, {{val| 0 2 0 0 1}}, {{val| 0 0 1 0 0}}, {{val| 0 0 0 1 0}}] | ||
Mapping generators: ~121/96, ~1331/768, ~5, ~7 | Mapping generators: ~121/96, ~1331/768, ~5/1, ~7/1 | ||
Wedgie: <<<<6 0 0 3 -16]]]] | Wedgie: <<<<6 0 0 3 -16]]]] | ||
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== Trinexus == | == Trinexus == | ||
This temperament can be seen as either adding the quartisma to Binexus, or adding the schisma to Dinexus. Either way, you end up with a rank-2 temperament. | This temperament can be seen as either adding the quartisma to Binexus, or adding the schisma to Dinexus. Either way, you end up with a full 11-limit rank-2 temperament. | ||
Commas: 1771561/1769472, 32805/32768, 117440512/117406179 | Commas: 1771561/1769472, 32805/32768, 117440512/117406179 | ||