Swetismic temperaments: Difference between revisions

m Cleanup (1/2)
m Cleanup (2/2)
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== Swetismic ==
== Swetismic ==
Subgroup: 2.3.5.7.11
[[Comma list]]: 540/539
[[Comma list]]: 540/539


[[Mapping]]: [{{val| 1 0 0 0 2 }}, {{val| 0 1 0 0 3 }}, {{val| 0 0 0 1 -2 }}]
[[Mapping]]: [{{val| 1 0 0 0 2 }}, {{val| 0 1 0 0 3 }}, {{val| 0 0 0 1 -2 }}]


Generators: ~2, ~3, ~5, ~7
Mapping generators: ~2, ~3, ~5, ~7


{{Val list|legend=1| 9, 10, 19, 22, 31, 41, 53, 58, 72, 130, 152, 224, 354, 537, 578 }}
{{Val list|legend=1| 9, 10, 19, 22, 31, 41, 53, 58, 72, 130, 152, 224, 354, 537, 578 }}


== Hades ==
== Hades ==
Subgroup: 2.3.5.7.11
[[Comma list]]: 540/539, 4000/3993
[[Comma list]]: 540/539, 4000/3993


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=== 13-limit ===
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
Comma list: 540/539, 729/728, 1575/1573
Comma list: 540/539, 729/728, 1575/1573


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=== Cerberus ===
=== Cerberus ===
Subgroup: 2.3.5.7.11.13
Comma list: 351/350, 364/363, 540/539
Comma list: 351/350, 364/363, 540/539


Mapping: [{{val| 2 1 0 2 3 1 }}, {{val| 0 3 0 5 -1 -4 }}, {{val| 0 0 1 0 1 2 }}]
Mapping: [{{val| 2 1 0 2 3 1 }}, {{val| 0 3 0 5 -1 -4 }}, {{val| 0 0 1 0 1 2 }}]
Mapping generators: ~55/39, ~9/7, ~5


Vals: {{val list| 22, 50, 58, 72, 130 }}
Vals: {{val list| 22, 50, 58, 72, 130 }}
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== Minos ==
== Minos ==
Subgroup: 2.3.5.7.11
[[Comma list]]: 540/539, 12005/11979
[[Comma list]]: 540/539, 12005/11979


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=== 13-limit ===
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
Comma list: 364/363, 540/539, 676/675
Comma list: 364/363, 540/539, 676/675


Mapping: [{{val| 1 0 2 1 2 1 }}, {{val| 0 2 4 3 4 7 }}, {{val| 0 0 -5 -1 -3 -5 }}]
Mapping: [{{val| 1 0 2 1 2 1 }}, {{val| 0 2 4 3 4 7 }}, {{val| 0 0 -5 -1 -3 -5 }}]
Mapping generators: ~2, ~26/15, ~49/33


Vals: {{val list| 9, 54, 58, 72, 121, 130, 193 }}
Vals: {{val list| 9, 54, 58, 72, 121, 130, 193 }}
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== Persephone ==
== Persephone ==
Subgroup: 2.3.5.7.11
[[Comma list]]: 540/539, 88209/87500
[[Comma list]]: 540/539, 88209/87500


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=== 13-limit ===
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
Comma list: 351/350, 540/539, 847/845
Comma list: 351/350, 540/539, 847/845


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== Hypnos ==
== Hypnos ==
Subgroup: 2.3.5.7.11
[[Comma list]]: 540/539, 72171/71680
[[Comma list]]: 540/539, 72171/71680


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=== 13-limit ===
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
Comma list: 169/168, 540/539, 729/728
Comma list: 169/168, 540/539, 729/728