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The Archipelago: Difference between revisions

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== Rank-4 temperaments ==
== Rank-4 temperaments ==
=== 1001/1000 ===
=== 1001/1000 ===
Commas: 676/675, 1001/1000
Subgroup: 2.3.5.7.11.13


Map: [<1 0 0 0 4 -1|, <0 2 0 0 -3 3|, <0 0 1 0 2 1|, <0 0 0 1 -1 0|]
[[Comma list]]: 676/675, 1001/1000


EDOs: 15, 19, 29, 43, 53, 58, 72, 87, 111, 130, 183, 198, 270, 940
[[Mapping]]: [{{val| 1 0 0 0 4 -1 }}, {{val| 0 2 0 0 -3 3 }}, {{val| 0 0 1 0 2 1 }}, {{val| 0 0 0 1 -1 0 }}]


[[Optimal_patent_val|Optimal patent val]]: [[940edo]]
{{Val list|legend=1| 15, 19, 29, 43, 53, 58, 72, 87, 111, 130, 183, 198, 270, 940 }}
 
[[Optimal patent val]]: [[940edo]]


=== 49/48 ===
=== 49/48 ===
Commas: 49/48, 91/90
Subgroup: 2.3.5.7.11.13
 
[[Comma list]]: 49/48, 91/90


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


EDOs: 5, 9, 10, 15, 19, 24
{{Val list|legend=1| 5, 9, 10, 15, 19, 24 }}


=== 1716/1715 ===
=== 1716/1715 ===
Commas: 676/675, 1716/1715
Subgroup: 2.3.5.7.11.13
 
[[Comma list]]: 676/675, 1716/1715


Map: [<1 0 0 0 -1 -1|, <0 2 0 0 -5 3|, <0 0 1 0 0 1|, <0 0 0 1 3 0|]
[[Mapping]]: [{{val| 1 0 0 0 -1 -1 }}, {{val| 0 2 0 0 -5 3 }}, {{val| 0 0 1 0 0 1 }}, {{val| 0 0 0 1 3 0 }}]


EDOs: 58, 72, 77, 121, 130, 140, 149, 198, 212, 270
{{Val list|legend=1| 58, 72, 77, 121, 130, 140, 149, 198, 212, 270 }}


=== 364/363 ===
=== 364/363 ===
Commas: 364/363, 676/675
Subgroup: 2.3.5.7.11.13
 
[[Comma list]]: 364/363, 676/675


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


EDOs: 9, 15, 29, 43, 58, 72, 87, 121, 130
{{Val list|legend=1| 9, 15, 29, 43, 58, 72, 87, 121, 130 }}


=== 351/350 ===
=== 351/350 ===
Commas: 351/350, 676/675
Subgroup: 2.3.5.7.11.13
 
[[Comma list]]: 351/350, 676/675


Map: [<1 0 0 -2 0 -1|, <0 2 0 9 0 3|, <0 0 1 -1 0 1|, <0 0 0 0 1 0|]
[[Mapping]]: [{{val| 1 0 0 -2 0 -1 }}, {{val| 0 2 0 9 0 3 }}, {{val| 0 0 1 -1 0 1 }}, {{val| 0 0 0 0 1 0 }}]


EDOs: 19, 53, 58, 72, 77, 111, 130
{{Val list|legend=1| 19, 53, 58, 72, 77, 111, 130 }}


=== 352/351 ===
=== 352/351 ===
Commas: 352/351, 676/675
Subgroup: 2.3.5.7.11.13
 
[[Comma list]]: 352/351, 676/675


Map: [<1 0 0 0 -6 -1|, <0 2 0 0 9 3|, <0 0 1 0 1 1|, <0 0 0 1 0 0|]
[[Mapping]]: [{{val| 1 0 0 0 -6 -1 }}, {{val| 0 2 0 0 9 3 }}, {{val| 0 0 1 0 1 1 }}, {{val| 0 0 0 1 0 0 }}]


EDOs: 29, 34, 53, 58, 63, 77, 87, 111, 121
{{Val list|legend=1| 29, 34, 53, 58, 63, 77, 87, 111, 121 }}


=== 540/539 ===
=== 540/539 ===
Commas: 540/539, 676/675
Subgroup: 2.3.5.7.11.13
 
[[Comma list]]: 540/539, 676/675


Map: [<1 0 0 0 2 -1|, <0 2 0 0 6 3|, <0 0 1 0 1 1|, <0 0 0 1 -2 0|]
[[Mapping]]: [{{val| 1 0 0 0 2 -1 }}, {{val| 0 2 0 0 6 3 }}, {{val| 0 0 1 0 1 1 }}, {{val| 0 0 0 1 -2 0 }}]


EDOs: 9, 19, 53, 58, 63, 72, 111, 121, 183
{{Val list|legend=1| 9, 19, 53, 58, 63, 72, 111, 121, 183 }}


=== 847/845 ===
=== 847/845 ===
Commas: 676/675, 847/845
Subgroup: 2.3.5.7.11.13
 
[[Comma list]]: 676/675, 847/845


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


EDOs: 9, 29, 53, 58, 87, 111, 140, 149, 198
{{Val list|legend=1| 9, 29, 53, 58, 87, 111, 140, 149, 198 }}


== Rank-3 temperaments ==
== Rank-3 temperaments ==
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