Orwell extensions: Difference between revisions
Wikispaces>genewardsmith **Imported revision 381072162 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 381080374 - 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>2012-11-10 | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-11-10 11:18:23 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>381080374</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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=Tuning Spectra= | =Tuning Spectra= | ||
These spectra suggest possible tuning choices. For 13-limit orwell, the 5-limit minimax tuning featuring pure 6/5 eigenmonzos seems like an excellent choice, as it's right in the middle of the least squares range and very close to 13-limit least squares. Pure 13s, using the 16/13 eigenmonzo, might also please some people. For blair, pure 5/4s using the 5/4 eigenmonzo tuning is very close to 15-limit least squares and in general in the middle of the action. For winston, sticking with the 11/9 eigenmonzo minimax tuning seems reasonable. | |||
==Spectrum of Orwell Tunings by Eigenmonzos== | ==Spectrum of Orwell Tunings by Eigenmonzos== | ||
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|| 5/4 || 271.229 || | || 5/4 || 271.229 || | ||
|| 1361367/1000000 || 271.326 (7 limit least squares) || | || 1361367/1000000 || 271.326 (7 limit least squares) || | ||
|| 14/13 || 271.418 (13 and 15 limit minimax) || | |||
|| 16/13 || 271.551 || | |||
|| |0 119 -46 20 -16> || 271.445 (11 limit least squares) || | || |0 119 -46 20 -16> || 271.445 (11 limit least squares) || | ||
|| |0 90 -41 14> || 271.561 (9 limit least squares) || | || |0 90 -41 14> || 271.561 (9 limit least squares) || | ||
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|| |0 -236 5 -51 -3 165> || 271.570 (15 limit least squares) || | || |0 -236 5 -51 -3 165> || 271.570 (15 limit least squares) || | ||
|| 1220703125/1033121304 || 271.590 (5 limit least squares) || | || 1220703125/1033121304 || 271.590 (5 limit least squares) || | ||
|| 13/12 || 271.593 || | || 13/12 || 271.593 || | ||
|| 13/10 || 271.612 || | || 13/10 || 271.612 || | ||
|| 18/13 || 271.618 || | || 18/13 || 271.618 || | ||
|| 10/9 || 271.623 || | || 10/9 || 271.623 (9 limit minimax) || | ||
|| 15/13 || 271.641 || | || 15/13 || 271.641 || | ||
|| 4/3 || 271.708 || | || 4/3 || 271.708 || | ||
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|| 16/13 || 280.176 || | || 16/13 || 280.176 || | ||
|| 13/11 || 289.210 || | || 13/11 || 289.210 || | ||
</pre></div> | </pre></div> | ||
<h4>Original HTML content:</h4> | <h4>Original HTML content:</h4> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Tuning Spectra"></a><!-- ws:end:WikiTextHeadingRule:0 -->Tuning Spectra</h1> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Tuning Spectra"></a><!-- ws:end:WikiTextHeadingRule:0 -->Tuning Spectra</h1> | ||
These spectra suggest possible tuning choices. For 13-limit orwell, the 5-limit minimax tuning featuring pure 6/5 eigenmonzos seems like an excellent choice, as it's right in the middle of the least squares range and very close to 13-limit least squares. Pure 13s, using the 16/13 eigenmonzo, might also please some people. For blair, pure 5/4s using the 5/4 eigenmonzo tuning is very close to 15-limit least squares and in general in the middle of the action. For winston, sticking with the 11/9 eigenmonzo minimax tuning seems reasonable.<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Tuning Spectra-Spectrum of Orwell Tunings by Eigenmonzos"></a><!-- ws:end:WikiTextHeadingRule:2 -->Spectrum of Orwell Tunings by Eigenmonzos</h2> | <!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Tuning Spectra-Spectrum of Orwell Tunings by Eigenmonzos"></a><!-- ws:end:WikiTextHeadingRule:2 -->Spectrum of Orwell Tunings by Eigenmonzos</h2> | ||
<br /> | <br /> | ||
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</td> | </td> | ||
<td>271.326 (7 limit least squares)<br /> | <td>271.326 (7 limit least squares)<br /> | ||
</td> | |||
</tr> | |||
<tr> | |||
<td>14/13<br /> | |||
</td> | |||
<td>271.418 (13 and 15 limit minimax)<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>16/13<br /> | |||
</td> | |||
<td>271.551<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
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</td> | </td> | ||
<td>271.590 (5 limit least squares)<br /> | <td>271.590 (5 limit least squares)<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>10/9<br /> | <td>10/9<br /> | ||
</td> | </td> | ||
<td>271.623<br /> | <td>271.623 (9 limit minimax)<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||