Gamelismic clan: Difference between revisions
Wikispaces>genewardsmith **Imported revision 179473767 - Original comment: ** |
Wikispaces>xenwolf **Imported revision 179524851 - Original comment: ** |
||
| Line 1: | Line 1: | ||
<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User: | : This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2010-11-15 04:20:20 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>179524851</tt>.<br> | ||
: The revision comment was: <tt></tt><br> | : The revision comment was: <tt></tt><br> | ||
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | ||
| Line 65: | Line 65: | ||
[[Eigenmonzo|Eigenmonzos]]: 2, 7/5 | [[Eigenmonzo|Eigenmonzos]]: 2, 7/5 | ||
Algebraic generator: larger root of 20x^2-36x+15, or (9+sqrt(6))/10. | Algebraic generator: [[roots of polynomials|larger root]] of 20x^2-36x+15, or (9+sqrt(6))/10. | ||
11-limit | 11-limit | ||
| Line 75: | Line 75: | ||
[[Eigenmonzo|Eigenmonzos]]: 2, 11/9 | [[Eigenmonzo|Eigenmonzos]]: 2, 11/9 | ||
Algebraic generator: positive root of x^2+16x-31, or sqrt(95)-8. | Algebraic generator: [[roots of polynomials|positive root]] of x^2+16x-31, or sqrt(95)-8. | ||
Map: [<1 1 -1 3 6|, <0 3 17 -1 -13|] | Map: [<1 1 -1 3 6|, <0 3 17 -1 -13|] | ||
| Line 95: | Line 95: | ||
Eigenmonzos: 2, 9/7 | Eigenmonzos: 2, 9/7 | ||
Algebraic generator: smaller root of x^2-89x+92, or (89-sqrt(7553))/2, at 77.8616 cents. | Algebraic generator: [[roots of polynomials|smaller root]] of x^2-89x+92, or (89-sqrt(7553))/2, at 77.8616 cents. | ||
11-limit | 11-limit | ||
| Line 105: | Line 105: | ||
Eigenmonzos: 2, 11/7 | Eigenmonzos: 2, 11/7 | ||
Algebraic generator: positive root of 4x^3+15x^2-21, or else Gontrand2, the smallest positive root of 4x^7-8x^6+5. | Algebraic generator: [[roots of polynomials|positive root]] of 4x^3+15x^2-21, or else Gontrand2, the smallest positive root of 4x^7-8x^6+5. | ||
Map: [<1 1 2 3 3|, <0 9 5 -3 7|] | Map: [<1 1 2 3 3|, <0 9 5 -3 7|] | ||
| Line 270: | Line 270: | ||
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 7/5<br /> | <a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 7/5<br /> | ||
<br /> | <br /> | ||
Algebraic generator: larger root of 20x^2-36x+15, or (9+sqrt(6))/10.<br /> | Algebraic generator: <a class="wiki_link" href="/roots%20of%20polynomials">larger root</a> of 20x^2-36x+15, or (9+sqrt(6))/10.<br /> | ||
<br /> | <br /> | ||
11-limit<br /> | 11-limit<br /> | ||
| Line 280: | Line 280: | ||
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 11/9<br /> | <a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 11/9<br /> | ||
<br /> | <br /> | ||
Algebraic generator: positive root of x^2+16x-31, or sqrt(95)-8.<br /> | Algebraic generator: <a class="wiki_link" href="/roots%20of%20polynomials">positive root</a> of x^2+16x-31, or sqrt(95)-8.<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 1 -1 3 6|, &lt;0 3 17 -1 -13|]<br /> | Map: [&lt;1 1 -1 3 6|, &lt;0 3 17 -1 -13|]<br /> | ||
| Line 300: | Line 300: | ||
Eigenmonzos: 2, 9/7<br /> | Eigenmonzos: 2, 9/7<br /> | ||
<br /> | <br /> | ||
Algebraic generator: smaller root of x^2-89x+92, or (89-sqrt(7553))/2, at 77.8616 cents.<br /> | Algebraic generator: <a class="wiki_link" href="/roots%20of%20polynomials">smaller root</a> of x^2-89x+92, or (89-sqrt(7553))/2, at 77.8616 cents.<br /> | ||
<br /> | <br /> | ||
11-limit<br /> | 11-limit<br /> | ||
| Line 310: | Line 310: | ||
Eigenmonzos: 2, 11/7<br /> | Eigenmonzos: 2, 11/7<br /> | ||
<br /> | <br /> | ||
Algebraic generator: positive root of 4x^3+15x^2-21, or else Gontrand2, the smallest positive root of 4x^7-8x^6+5.<br /> | Algebraic generator: <a class="wiki_link" href="/roots%20of%20polynomials">positive root</a> of 4x^3+15x^2-21, or else Gontrand2, the smallest positive root of 4x^7-8x^6+5.<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 1 2 3 3|, &lt;0 9 5 -3 7|]<br /> | Map: [&lt;1 1 2 3 3|, &lt;0 9 5 -3 7|]<br /> | ||