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Kleismic rank three family: Difference between revisions

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adding parenthetical "(unchanged intervals)" to eigenmonzo lists
Line 14: Line 14:
* [[7-odd-limit|7-]] and [[9-odd-limit]]
* [[7-odd-limit|7-]] and [[9-odd-limit]]
: [{{monzo| 1 0 0 0 }}, {{monzo| 0 1 0 0 }}, {{monzo| 1 5/6 0 0 }}, {{monzo| 0 0 0 1 }}]
: [{{monzo| 1 0 0 0 }}, {{monzo| 0 1 0 0 }}, {{monzo| 1 5/6 0 0 }}, {{monzo| 0 0 0 1 }}]
: [[Eigenmonzo]]s: 2, 7/6, 4/3
: [[Eigenmonzo]]s (unchanged intervals): 2, 7/6, 4/3


{{Val list|legend=1| 15, 19, 34d, 49, 53, 72, 140, 212 }}
{{Val list|legend=1| 15, 19, 34d, 49, 53, 72, 140, 212 }}
Line 31: Line 31:
* [[11-odd-limit]]
* [[11-odd-limit]]
: [{{monzo| 1 0 0 0 0 }}, {{monzo| 0 1 0 0 0 }}, {{monzo| 1 5/6 0 0 0 }}, {{monzo| 3 1/12 0 1/2 -1/2 }}, {{monzo| 3 1/12 0 -1/2 1/2 }}]
: [{{monzo| 1 0 0 0 0 }}, {{monzo| 0 1 0 0 0 }}, {{monzo| 1 5/6 0 0 0 }}, {{monzo| 3 1/12 0 1/2 -1/2 }}, {{monzo| 3 1/12 0 -1/2 1/2 }}]
: [[Eigenmonzo]]s: 2, 4/3, 14/11
: [[Eigenmonzo]]s (unchanged intervals): 2, 4/3, 14/11


{{Val list|legend=1| 15, 19, 34, 38, 53, 68, 72, 140, 159, 212, 284 }}
{{Val list|legend=1| 15, 19, 34, 38, 53, 68, 72, 140, 159, 212, 284 }}
Line 50: Line 50:
* 13- and 15-odd-limit
* 13- and 15-odd-limit
: [{{monzo| 1 0 0 0 0 0 }}, {{monzo| 4/3 0 0 -2/9 -2/9 4/9 }}, {{monzo| 19/9 0 0 -5/27 -5/27 10/27 }}, {{monzo| 28/9 0 0 13/27 -14/27 1/27 }}, {{monzo| 28/9 0 0 -14/27 13/27 1/27 }}, {{monzo| 28/9 0 0 -14/27 -14/27 28/27 }}]
: [{{monzo| 1 0 0 0 0 0 }}, {{monzo| 4/3 0 0 -2/9 -2/9 4/9 }}, {{monzo| 19/9 0 0 -5/27 -5/27 10/27 }}, {{monzo| 28/9 0 0 13/27 -14/27 1/27 }}, {{monzo| 28/9 0 0 -14/27 13/27 1/27 }}, {{monzo| 28/9 0 0 -14/27 -14/27 28/27 }}]
: [[Eigenmonzo]]s: 2, 13/11, 14/11
: [[Eigenmonzo]]s (unchanged intervals): 2, 13/11, 14/11


Vals: {{Val list| 15, 19, 34, 53, 72, 87, 125f, 140, 159, 212, 299 }}
Vals: {{Val list| 15, 19, 34, 53, 72, 87, 125f, 140, 159, 212, 299 }}
Line 71: Line 71:
* [[11-odd-limit]]
* [[11-odd-limit]]
: [{{monzo| 1 0 0 0 0 }}, {{monzo| -18/13 0 6/13 -6/13 12/13 }}, {{monzo| -2/13 0 5/13 -5/13 10/13 }}, {{monzo| -2/13 0 -8/13 8/13 10/13 }}, {{monzo| 0 0 0 0 1 }}]
: [{{monzo| 1 0 0 0 0 }}, {{monzo| -18/13 0 6/13 -6/13 12/13 }}, {{monzo| -2/13 0 5/13 -5/13 10/13 }}, {{monzo| -2/13 0 -8/13 8/13 10/13 }}, {{monzo| 0 0 0 0 1 }}]
: [[Eigenmonzo]]s: 2, 11/8, 7/5
: [[Eigenmonzo]]s (unchanged intervals): 2, 11/8, 7/5


{{Val list|legend=1| 15, 23de, 34d, 49, 72, 159, 193, 265, 352, 424 }}
{{Val list|legend=1| 15, 23de, 34d, 49, 72, 159, 193, 265, 352, 424 }}
Line 90: Line 90:
* 13- and 15-odd-limit
* 13- and 15-odd-limit
: [{{monzo| 1 0 0 0 0 0 }}, {{monzo| 2/3 0 -2/3 0 0 2/3 }}, {{monzo| 14/9 0 -5/9 0 0 5/9 }}, {{monzo| 0 0 0 1 0 0 }}, {{monzo| 13/9 0 -4/9 1/2 0 4/9 }}, {{monzo| 14/9 0 -14/9 0 0 14/9 }}]
: [{{monzo| 1 0 0 0 0 0 }}, {{monzo| 2/3 0 -2/3 0 0 2/3 }}, {{monzo| 14/9 0 -5/9 0 0 5/9 }}, {{monzo| 0 0 0 1 0 0 }}, {{monzo| 13/9 0 -4/9 1/2 0 4/9 }}, {{monzo| 14/9 0 -14/9 0 0 14/9 }}]
: Eigenmonzos: 2, 8/7 13/10
: Eigenmonzos (unchanged intervals): 2, 8/7 13/10


Vals: {{Val list| 34d, 49f, 72, 87, 159, 193, 280 }}
Vals: {{Val list| 34d, 49f, 72, 87, 159, 193, 280 }}
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