Kleismic family: Difference between revisions
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Cmloegcmluin (talk | contribs) adding parenthetical "(unchanged intervals)" to eigenmonzo lists |
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* 7- and [[9-odd-limit]]: ~9/7 = {{monzo| 12/25 0 0 -1/25 }} | * 7- and [[9-odd-limit]]: ~9/7 = {{monzo| 12/25 0 0 -1/25 }} | ||
: [{{monzo| 1 0 0 0 }}, {{monzo| 6/25 0 0 12/25 }}, {{monzo| 6/5 0 0 2/5 }}, {{monzo| 0 0 0 1 }}] | : [{{monzo| 1 0 0 0 }}, {{monzo| 6/25 0 0 12/25 }}, {{monzo| 6/5 0 0 2/5 }}, {{monzo| 0 0 0 1 }}] | ||
: [[Eigenmonzo]]s: 2, 7 | : [[Eigenmonzo]]s (unchanged intervals): 2, 7 | ||
[[Algebraic generator]]: real root of 5''x''<sup>3</sup> - 6''x'' - 3, the Poussami generator. Approximately 441.309 [[cent]]s. Associated recurrence relationship quickly converges. | [[Algebraic generator]]: real root of 5''x''<sup>3</sup> - 6''x'' - 3, the Poussami generator. Approximately 441.309 [[cent]]s. Associated recurrence relationship quickly converges. | ||
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* [[7-odd-limit]]: ~6/5 = {{monzo| 1/3 0 1/7 -1/7 }} | * [[7-odd-limit]]: ~6/5 = {{monzo| 1/3 0 1/7 -1/7 }} | ||
: [{{monzo| 1 0 0 0 }}, {{monzo| 2 0 6/7 -6/7 }}, {{monzo| 8/3 0 5/7 -5/7 }}, {{monzo| 8/3 0 -2/7 2/7 }}] | : [{{monzo| 1 0 0 0 }}, {{monzo| 2 0 6/7 -6/7 }}, {{monzo| 8/3 0 5/7 -5/7 }}, {{monzo| 8/3 0 -2/7 2/7 }}] | ||
: [[Eigenmonzo]]s: 2, 7/5 | : [[Eigenmonzo]]s (unchanged intervals): 2, 7/5 | ||
* [[9-odd-limit]]: ~6/5 = {{monzo| 5/21 1/7 0 -1/14 }} | * [[9-odd-limit]]: ~6/5 = {{monzo| 5/21 1/7 0 -1/14 }} | ||
: [{{monzo| 1 0 0 0 }}, {{monzo| 10/7 6/7 0 -3/7 }}, {{monzo| 46/21 5/7 0 -5/14 }}, {{monzo| 20/7 -2/7 0 1/7 }}] | : [{{monzo| 1 0 0 0 }}, {{monzo| 10/7 6/7 0 -3/7 }}, {{monzo| 46/21 5/7 0 -5/14 }}, {{monzo| 20/7 -2/7 0 1/7 }}] | ||
: [[Eigenmonzo]]s: 2, 9/7 | : [[Eigenmonzo]]s (unchanged intervals): 2, 9/7 | ||
{{Val list|legend=1| 15, 42bc, 57, 72, 159, 231 }} | {{Val list|legend=1| 15, 42bc, 57, 72, 159, 231 }} | ||
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* 11-odd-limit: ~6/5 = {{monzo| 5/21 1/7 0 -1/14 }} | * 11-odd-limit: ~6/5 = {{monzo| 5/21 1/7 0 -1/14 }} | ||
: [{{monzo| 1 0 0 0 0 }}, {{monzo| 10/7 6/7 0 -3/7 0 }}, {{monzo| 46/21 5/7 0 -5/14 0 }}, {{monzo| 20/7 -2/7 0 1/7 0 }}, {{monzo| 71/21 3/7 0 -3/14 0 }}] | : [{{monzo| 1 0 0 0 0 }}, {{monzo| 10/7 6/7 0 -3/7 0 }}, {{monzo| 46/21 5/7 0 -5/14 0 }}, {{monzo| 20/7 -2/7 0 1/7 0 }}, {{monzo| 71/21 3/7 0 -3/14 0 }}] | ||
: Eigenmonzos: 2, 9/7 | : Eigenmonzos (unchanged intervals): 2, 9/7 | ||
Vals: {{Val list| 15, 42bc, 57, 72, 159, 231 }} | Vals: {{Val list| 15, 42bc, 57, 72, 159, 231 }} | ||