Cataharry family: Difference between revisions
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Wikispaces>genewardsmith **Imported revision 205892382 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 247710287 - Original comment: ** |
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<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:genewardsmith|genewardsmith]] and made on <tt>2011- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-08-22 13:26:03 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>247710287</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> | ||
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Generators: 2, 140/81, 5 | Generators: 2, 140/81, 5 | ||
Edos: 19, 24, 48, 53, 58, 72, 130, 202, 457, 587, 659, 717 | Edos: 19, 24, 48, 53, 58, 72, 130, 202, 457, 587, 659, 717 | ||
[[Projection pair]]s: 3 19600/6561 7 1033052339200000000/150094635296999121 to 2.5.81/7 | |||
==11 limit children== | ==11 limit children== | ||
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Badness: 0.000560 | Badness: 0.000560 | ||
[[Spectrum of a temperament|Spectrum]]: 15/13, 4/3, 13/10, 10/9, 6/5, 9/7, 18/13, 9/8, 5/4, 7/6, 13/12, 15/14, 16/15, 14/13, 8/7, 7/5, 16/13, 11/10, 15/11, 11/8, 12/11, 13/11, 11/9, 14/11 | [[Spectrum of a temperament|Spectrum]]: 15/13, 4/3, 13/10, 10/9, 6/5, 9/7, 18/13, 9/8, 5/4, 7/6, 13/12, 15/14, 16/15, 14/13, 8/7, 7/5, 16/13, 11/10, 15/11, 11/8, 12/11, 13/11, 11/9, 14/11 | ||
Projection pairs: 3 676/225 7 1357375919744/192216796875 11 16218292236328125/1491077447838784 13 8788/675 to 2.5.13/3 | |||
[[madagascar19]] | [[madagascar19]] | ||
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Generators: 2, 140/81, 5<br /> | Generators: 2, 140/81, 5<br /> | ||
Edos: 19, 24, 48, 53, 58, 72, 130, 202, 457, 587, 659, 717<br /> | Edos: 19, 24, 48, 53, 58, 72, 130, 202, 457, 587, 659, 717<br /> | ||
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<a class="wiki_link" href="/Projection%20pair">Projection pair</a>s: 3 19600/6561 7 1033052339200000000/150094635296999121 to 2.5.81/7<br /> | |||
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<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-11 limit children"></a><!-- ws:end:WikiTextHeadingRule:0 -->11 limit children</h2> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-11 limit children"></a><!-- ws:end:WikiTextHeadingRule:0 -->11 limit children</h2> | ||
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Badness: 0.000560<br /> | Badness: 0.000560<br /> | ||
<a class="wiki_link" href="/Spectrum%20of%20a%20temperament">Spectrum</a>: 15/13, 4/3, 13/10, 10/9, 6/5, 9/7, 18/13, 9/8, 5/4, 7/6, 13/12, 15/14, 16/15, 14/13, 8/7, 7/5, 16/13, 11/10, 15/11, 11/8, 12/11, 13/11, 11/9, 14/11<br /> | <a class="wiki_link" href="/Spectrum%20of%20a%20temperament">Spectrum</a>: 15/13, 4/3, 13/10, 10/9, 6/5, 9/7, 18/13, 9/8, 5/4, 7/6, 13/12, 15/14, 16/15, 14/13, 8/7, 7/5, 16/13, 11/10, 15/11, 11/8, 12/11, 13/11, 11/9, 14/11<br /> | ||
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Projection pairs: 3 676/225 7 1357375919744/192216796875 11 16218292236328125/1491077447838784 13 8788/675 to 2.5.13/3<br /> | |||
<br /> | |||
<a class="wiki_link" href="/madagascar19">madagascar19</a><br /> | <a class="wiki_link" href="/madagascar19">madagascar19</a><br /> | ||
<br /> | <br /> | ||
Revision as of 13:26, 22 August 2011
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author genewardsmith and made on 2011-08-22 13:26:03 UTC.
- The original revision id was 247710287.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
The cataharry family of rank three temperaments tempers out the cataharry comma, 19683/19600. Comma: 19683/19600 7 and 9 limit minimax [|1 0 0 0>, |4/9 0 2/9 2/9>, |0 0 1 0>, |0 0 0 1>] Eigenmonzos: 2, 8/7, 5/4 Map: [<1 0 0 -2|, <0 2 0 9|, <0 0 1 -1|] Generators: 2, 140/81, 5 Edos: 19, 24, 48, 53, 58, 72, 130, 202, 457, 587, 659, 717 [[Projection pair]]s: 3 19600/6561 7 1033052339200000000/150094635296999121 to 2.5.81/7 ==11 limit children== ==Albus== Commas: 540/539, 8019/8000 Minimax tuning [|1 0 0 0 0>, |8/3 0 4/3 -2/3 -2/3>, |5 0 7/2 -2 -3/2>, |5 0 5/2 -1 -3/2>, |5 0 5/2 -2 -1/2>] Eigenmonzos: 2, 11/10, 7/5 Map: [<1 0 0 -2 6|, <0 2 0 9 -12|, <0 0 1 -1 3|] Generators: 2, 140/81, 5 Edos: 19, 53, 58, 72, 130, 183, 255, 385, 640 Badness: 0.000621 ===Madagascar=== Commas: 351/350, 540/539, 676/675 13 and 15 limit minimax [|1 0 0 0 0 0>, |8/3 0 4/3 -2/3 -2/3 0>, |5 0 7/2 -2 -3/2 0>, |5 0 5/2 -1 -3/2 0>, |5 0 5/2 -2 -1/2 0>, |8 0 11/2 -3 -5/2 0>] Eigenmonzos: 2, 11/10, 7/5 Lattice basis: 15/13 0.3019 26/25 0.9477 Angle(15/13, 26/25) = 81.6476 Map to lattice: [<0 -2 -3 -6 3 -6|, <0 0 -1 1 -3 -1|] Map: [<1 0 0 -2 6 -1|, <0 2 0 9 -12 3|, <0 0 1 -1 3 1|] Generators: 2, 26/15, 5 Edos: 19, 53, 58, 72, 111, 130, 183, 313 Badness: 0.000560 [[Spectrum of a temperament|Spectrum]]: 15/13, 4/3, 13/10, 10/9, 6/5, 9/7, 18/13, 9/8, 5/4, 7/6, 13/12, 15/14, 16/15, 14/13, 8/7, 7/5, 16/13, 11/10, 15/11, 11/8, 12/11, 13/11, 11/9, 14/11 Projection pairs: 3 676/225 7 1357375919744/192216796875 11 16218292236328125/1491077447838784 13 8788/675 to 2.5.13/3 [[madagascar19]] ==Snape== Commas: 19683/19600, 441/440 13-limit Commas: 351/350, 441/440, 729/728 ==Hagrid== Commas: 243/242, 9801/9800 13-limit Commas: 243/242, 351/350, 729/728 ==Draco== Commas: 19683/19600, 176/175 13-limit Commas: 176/175, 351/350, 676/675
Original HTML content:
<html><head><title>Cataharry family</title></head><body>The cataharry family of rank three temperaments tempers out the cataharry comma, 19683/19600.<br /> <br /> Comma: 19683/19600<br /> <br /> 7 and 9 limit minimax<br /> [|1 0 0 0>, |4/9 0 2/9 2/9>, <br /> |0 0 1 0>, |0 0 0 1>]<br /> Eigenmonzos: 2, 8/7, 5/4<br /> <br /> Map: [<1 0 0 -2|, <0 2 0 9|, <0 0 1 -1|]<br /> Generators: 2, 140/81, 5<br /> Edos: 19, 24, 48, 53, 58, 72, 130, 202, 457, 587, 659, 717<br /> <br /> <a class="wiki_link" href="/Projection%20pair">Projection pair</a>s: 3 19600/6561 7 1033052339200000000/150094635296999121 to 2.5.81/7<br /> <br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h2> --><h2 id="toc0"><a name="x-11 limit children"></a><!-- ws:end:WikiTextHeadingRule:0 -->11 limit children</h2> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><a name="x-Albus"></a><!-- ws:end:WikiTextHeadingRule:2 -->Albus</h2> Commas: 540/539, 8019/8000<br /> <br /> Minimax tuning<br /> [|1 0 0 0 0>, |8/3 0 4/3 -2/3 -2/3>, <br /> |5 0 7/2 -2 -3/2>, |5 0 5/2 -1 -3/2>, <br /> |5 0 5/2 -2 -1/2>]<br /> Eigenmonzos: 2, 11/10, 7/5<br /> <br /> Map: [<1 0 0 -2 6|, <0 2 0 9 -12|, <0 0 1 -1 3|]<br /> Generators: 2, 140/81, 5<br /> Edos: 19, 53, 58, 72, 130, 183, 255, 385, 640<br /> Badness: 0.000621<br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h3> --><h3 id="toc2"><a name="x-Albus-Madagascar"></a><!-- ws:end:WikiTextHeadingRule:4 -->Madagascar</h3> Commas: 351/350, 540/539, 676/675<br /> <br /> 13 and 15 limit minimax<br /> [|1 0 0 0 0 0>, |8/3 0 4/3 -2/3 -2/3 0>, <br /> |5 0 7/2 -2 -3/2 0>, |5 0 5/2 -1 -3/2 0>, <br /> |5 0 5/2 -2 -1/2 0>, |8 0 11/2 -3 -5/2 0>]<br /> Eigenmonzos: 2, 11/10, 7/5<br /> <br /> Lattice basis: 15/13 0.3019 26/25 0.9477<br /> Angle(15/13, 26/25) = 81.6476<br /> Map to lattice: [<0 -2 -3 -6 3 -6|, <0 0 -1 1 -3 -1|]<br /> <br /> Map: [<1 0 0 -2 6 -1|, <0 2 0 9 -12 3|, <0 0 1 -1 3 1|]<br /> Generators: 2, 26/15, 5<br /> Edos: 19, 53, 58, 72, 111, 130, 183, 313<br /> Badness: 0.000560<br /> <a class="wiki_link" href="/Spectrum%20of%20a%20temperament">Spectrum</a>: 15/13, 4/3, 13/10, 10/9, 6/5, 9/7, 18/13, 9/8, 5/4, 7/6, 13/12, 15/14, 16/15, 14/13, 8/7, 7/5, 16/13, 11/10, 15/11, 11/8, 12/11, 13/11, 11/9, 14/11<br /> <br /> Projection pairs: 3 676/225 7 1357375919744/192216796875 11 16218292236328125/1491077447838784 13 8788/675 to 2.5.13/3<br /> <br /> <a class="wiki_link" href="/madagascar19">madagascar19</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h2> --><h2 id="toc3"><a name="x-Snape"></a><!-- ws:end:WikiTextHeadingRule:6 -->Snape</h2> Commas: 19683/19600, 441/440<br /> <br /> 13-limit<br /> Commas: 351/350, 441/440, 729/728<br /> <br /> <!-- ws:start:WikiTextHeadingRule:8:<h2> --><h2 id="toc4"><a name="x-Hagrid"></a><!-- ws:end:WikiTextHeadingRule:8 -->Hagrid</h2> Commas: 243/242, 9801/9800<br /> <br /> 13-limit<br /> Commas: 243/242, 351/350, 729/728<br /> <br /> <!-- ws:start:WikiTextHeadingRule:10:<h2> --><h2 id="toc5"><a name="x-Draco"></a><!-- ws:end:WikiTextHeadingRule:10 -->Draco</h2> Commas: 19683/19600, 176/175<br /> <br /> 13-limit<br /> Commas: 176/175, 351/350, 676/675</body></html>