Huygens vs meanpop: Difference between revisions
Wikispaces>keenanpepper **Imported revision 368116254 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 379021908 - 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:genewardsmith|genewardsmith]] and made on <tt>2012-11-04 09:32:10 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>379021908</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 26: | Line 26: | ||
|| 18/11 || Doubly diminished seventh (A-Gbb) || Doubly augmented fifth (C-Gx) || | || 18/11 || Doubly diminished seventh (A-Gbb) || Doubly augmented fifth (C-Gx) || | ||
|| 20/11 || Doubly diminished octave (C-Cbb) || Doubly augmented sixth (C-Ax) || | || 20/11 || Doubly diminished octave (C-Cbb) || Doubly augmented sixth (C-Ax) || | ||
|| 11/6 || Doubly augmented sixth (C-Ax) || Double diminished octave (C-Cbb) ||</pre></div> | || 11/6 || Doubly augmented sixth (C-Ax) || Double diminished octave (C-Cbb) || | ||
=Tuning Spectra= | |||
==Spectrum of Undecimal Meantone Tunings by Eigenmonzos== | |||
||~ Eigenmonzo ||~ Fifth || | |||
|| 10/9 || 691.202 || | |||
|| 6/5 || 694.786 || | |||
|| 9/7 || 695.614 || | |||
|| 7/6 || 696.319 || | |||
|| 5/4 || 696.578 || | |||
|| 11/9 || 696.713 (minimax tuning) || | |||
|| 8/7 || 696.883 || | |||
|| 12/11 || 697.021 || | |||
|| 7/5 || 697.085 || | |||
|| 11/8 || 697.295 || | |||
|| 11/10 || 697.500 || | |||
|| 14/11 || 697.812 || | |||
|| 4/3 || 701.955 || | |||
==Spectrum of Meanpop Tunings by Eigenmonzos== | |||
||~ Eigenmonzo ||~ Fifth || | |||
|| 10/9 || 691.202 || | |||
|| 6/5 || 694.786 || | |||
|| 9/7 || 695.614 || | |||
|| 11/8 || 696.052 || | |||
|| 11/10 || 696.176 || | |||
|| 7/6 || 696.319 || | |||
|| 14/11 || 696.413 || | |||
|| 12/11 || 696.474 || | |||
|| 5/4 || 696.578 (minimax tuning) || | |||
|| 11/9 || 696.839 || | |||
|| 8/7 || 696.883 || | |||
|| 7/5 || 697.085 || | |||
|| 4/3 || 701.955 || | |||
</pre></div> | |||
<h4>Original HTML content:</h4> | <h4>Original HTML content:</h4> | ||
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Meantone vs meanpop</title></head><body>&quot;11-limit meantone&quot; and &quot;meanpop&quot;, both discussed at <a class="wiki_link" href="/Meantone%20family">Meantone family</a>, are two different temperaments in the 11 limit. This page compares and contrasts them in detail.<br /> | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Meantone vs meanpop</title></head><body>&quot;11-limit meantone&quot; and &quot;meanpop&quot;, both discussed at <a class="wiki_link" href="/Meantone%20family">Meantone family</a>, are two different temperaments in the 11 limit. This page compares and contrasts them in detail.<br /> | ||
| Line 127: | Line 162: | ||
</td> | </td> | ||
<td>Double diminished octave (C-Cbb)<br /> | <td>Double diminished octave (C-Cbb)<br /> | ||
</td> | |||
</tr> | |||
</table> | |||
<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:2:&lt;h2&gt; --><h2 id="toc1"><a name="Tuning Spectra-Spectrum of Undecimal Meantone Tunings by Eigenmonzos"></a><!-- ws:end:WikiTextHeadingRule:2 -->Spectrum of Undecimal Meantone Tunings by Eigenmonzos</h2> | |||
<table class="wiki_table"> | |||
<tr> | |||
<th>Eigenmonzo<br /> | |||
</th> | |||
<th>Fifth<br /> | |||
</th> | |||
</tr> | |||
<tr> | |||
<td>10/9<br /> | |||
</td> | |||
<td>691.202<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>6/5<br /> | |||
</td> | |||
<td>694.786<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>9/7<br /> | |||
</td> | |||
<td>695.614<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>7/6<br /> | |||
</td> | |||
<td>696.319<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>5/4<br /> | |||
</td> | |||
<td>696.578<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>11/9<br /> | |||
</td> | |||
<td>696.713 (minimax tuning)<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>8/7<br /> | |||
</td> | |||
<td>696.883<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>12/11<br /> | |||
</td> | |||
<td>697.021<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>7/5<br /> | |||
</td> | |||
<td>697.085<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>11/8<br /> | |||
</td> | |||
<td>697.295<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>11/10<br /> | |||
</td> | |||
<td>697.500<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>14/11<br /> | |||
</td> | |||
<td>697.812<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>4/3<br /> | |||
</td> | |||
<td>701.955<br /> | |||
</td> | |||
</tr> | |||
</table> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Tuning Spectra-Spectrum of Meanpop Tunings by Eigenmonzos"></a><!-- ws:end:WikiTextHeadingRule:4 -->Spectrum of Meanpop Tunings by Eigenmonzos</h2> | |||
<table class="wiki_table"> | |||
<tr> | |||
<th>Eigenmonzo<br /> | |||
</th> | |||
<th>Fifth<br /> | |||
</th> | |||
</tr> | |||
<tr> | |||
<td>10/9<br /> | |||
</td> | |||
<td>691.202<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>6/5<br /> | |||
</td> | |||
<td>694.786<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>9/7<br /> | |||
</td> | |||
<td>695.614<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>11/8<br /> | |||
</td> | |||
<td>696.052<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>11/10<br /> | |||
</td> | |||
<td>696.176<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>7/6<br /> | |||
</td> | |||
<td>696.319<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>14/11<br /> | |||
</td> | |||
<td>696.413<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>12/11<br /> | |||
</td> | |||
<td>696.474<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>5/4<br /> | |||
</td> | |||
<td>696.578 (minimax tuning)<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>11/9<br /> | |||
</td> | |||
<td>696.839<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>8/7<br /> | |||
</td> | |||
<td>696.883<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>7/5<br /> | |||
</td> | |||
<td>697.085<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>4/3<br /> | |||
</td> | |||
<td>701.955<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||