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Diaschismic rank-3 family: Difference between revisions

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m Cleanup (1/2)
m Cleanup (2/2)
Line 6: Line 6:
[[Comma list]]: 176/175, 896/891
[[Comma list]]: 176/175, 896/891


[[Mapping]]: [<2 0 11 0 14|, <0 1 -2 0 -4|, <0 0 0 1 1 |]
[[Mapping]]: [{{val| 2 0 11 0 14 }}, {{val| 0 1 -2 0 -4 }}, {{val| 0 0 0 1 1 }}]


Map to lattice: [<0 1 -2 2 -2|, <0 0 0 -1 -1|]
Map to lattice: [{{val| 0 1 -2 2 -2 }}, {{val| 0 0 0 -1 -1 }}]


Lattice basis:  
Lattice basis:  
Line 16: Line 16:
[[Minimax tuning]]:  
[[Minimax tuning]]:  
* [[11-odd-limit]]
* [[11-odd-limit]]
: [|1 0 0 0 0>, |11/8 1/2 -1/4 0 0>, |11/4 -1 1/2 0 0>, |-1/8 3/2 -5/4 0 1>, |11/8 -1/2 -1/4 0 1>]
: [{{monzo| 1 0 0 0 0 }}, {{monzo| 11/8 1/2 -1/4 0 0 }}, {{monzo| 11/4 -1 1/2 0 0 }}, {{monzo| -1/8 3/2 -5/4 0 1 }}, {{monzo| 11/8 -1/2 -1/4 0 1 }}]
: Eigenmonzos: 2, 12/11, 10/9
: [[Eigenmonzo]]s: 2, 12/11, 10/9


{{Val list|legend=1| 58, 68, 80, 126 }}
{{Val list|legend=1| 58, 68, 80, 126 }}
Line 34: Line 34:
Comma list: 176/175, 325/324, 896/891
Comma list: 176/175, 325/324, 896/891


Mapping: [<2 0 11 0 14 -18|, <0 1 -2 0 -4 8|, <0 0 0 1 1 0|]
Mapping: [{{val| 2 0 11 0 14 -18 }}, {{val| 0 1 -2 0 -4 8 }}, {{val| 0 0 0 1 1 0 }}]


Vals: {{Val list| 12, 46, 68, 80 }}
Vals: {{Val list| 12, 46, 68, 80 }}
Line 45: Line 45:
[[Comma list]]: 385/384, 1232/1215
[[Comma list]]: 385/384, 1232/1215


[[Mapping]]: [<2 0 11 0 3|, <0 1 -2 0 3|, <0 0 0 1 -1|]
[[Mapping]]: [{{val| 2 0 11 0 3 }}, {{val| 0 1 -2 0 3 }}, {{val| 0 0 0 1 -1 }}]


[[Minimax tuning]]:  
[[Minimax tuning]]:  
* [[11-odd-limit]]
* [[11-odd-limit]]
: [|1 0 0 0 0>, |11/8 1/2 -1/4 0 0>, |11/4 -1 1/2 0 0>, |45/16 3/4 -3/8 1/2 -1/2>, |45/16 3/4 -3/8 -1/2 1/2>]
: [|1 0 0 0 0 }}, |11/8 1/2 -1/4 0 0 }}, |11/4 -1 1/2 0 0 }}, |45/16 3/4 -3/8 1/2 -1/2 }}, |45/16 3/4 -3/8 -1/2 1/2 }}]
: Eigenmonzos: 2, 10/9, 14/11
: [[Eigenmonzo]]s: 2, 10/9, 14/11


{{Val list|legend=1| 46, 68, 114, 124 }}
{{Val list|legend=1| 46, 68, 114, 124 }}
Line 61: Line 61:
[[Comma list]]: 441/440, 2048/2025
[[Comma list]]: 441/440, 2048/2025


[[Mapping]]: [<2 0 11 0 -17|, <0 1 -2 0 4|, <0 0 0 1 2|]
[[Mapping]]: [{{val| 2 0 11 0 -17 }}, {{val| 0 1 -2 0 4 }}, {{val| 0 0 0 1 2 }}]


[[Minimax tuning]]:  
[[Minimax tuning]]:  
* [[11-odd-limit]]
* [[11-odd-limit]]
: [|1 0 0 0 0>, |11/8 1/2 -1/4 0 0>, |11/4 -1 1/2 0 0>, |0 0 0 1 0>, |-3 2 -1 2 0>]
: [{{monzo| 1 0 0 0 0 }}, {{monzo| 11/8 1/2 -1/4 0 0 }}, {{monzo| 11/4 -1 1/2 0 0 }}, {{monzo| 0 0 0 1 0 }}, {{monzo| -3 2 -1 2 0 }}]
: Eigenmonzos: 2, 9/5, 7
: [[Eigenmonzo]]s: 2, 9/5, 7


{{Val list|legend=1| 58, 148, 160 }}
{{Val list|legend=1| 58, 148, 160 }}
Line 77: Line 77:
[[Comma list]]: 540/539, 2048/2025
[[Comma list]]: 540/539, 2048/2025


[[Mapping]]: [<2 0 11 0 15|, <0 1 -2 0 1|, <0 0 0 1 -2|]
[[Mapping]]: [{{val| 2 0 11 0 15 }}, {{val| 0 1 -2 0 1 }}, {{val| 0 0 0 1 -2 }}]


[[Minimax tuning]]:
[[Minimax tuning]]:
* [[11-odd-limit]]
* [[11-odd-limit]]
: [|1 0 0 0 0>, |9/7 0 -3/7 2/7 1/7>, |41/14 0 6/7 -4/7 -2/7>, |41/14 0 -1/7 3/7 -2/7>, |41/14 0 -1/7 -4/7 5/7>]
: [{{monzo| 1 0 0 0 0 }}, {{monzo| 9/7 0 -3/7 2/7 1/7 }}, {{monzo| 41/14 0 6/7 -4/7 -2/7 }}, {{monzo| 41/14 0 -1/7 3/7 -2/7 }}, {{monzo| 41/14 0 -1/7 -4/7 5/7 }}]
: Eigenmonzos: 2, 7/5, 11/5
: [[Eigenmonzo]]s: 2, 7/5, 11/5


{{Val list|legend=1| 58, 80 }}
{{Val list|legend=1| 58, 80 }}
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