Meantone: Difference between revisions
Wikispaces>genewardsmith **Imported revision 468397242 - Original comment: ** |
Wikispaces>hstraub **Imported revision 468625560 - 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: | : This revision was by author [[User:hstraub|hstraub]] and made on <tt>2013-11-13 05:34:11 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>468625560</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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* [[12edo|12-edo]] | * [[12edo|12-edo]] | ||
* [[Lucy tuning]] | * [[Lucy tuning]] | ||
* [[50edo|50-edo]] | |||
=Spectrum of Meantone Tunings by Eigenmonzos= | =Spectrum of Meantone Tunings by Eigenmonzos= | ||
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|| 78125/73728 || 696.165 (5-limit least squares) || | || 78125/73728 || 696.165 (5-limit least squares) || | ||
|| 49/45 || 696.245 || | || 49/45 || 696.245 || | ||
|| 47\81 || 696.296 || | || 47\81 || 696.296 || || 7/6 || 696.319 || | ||
|| 7/6 || 696.319 || | |||
|| 48/35 || 696.399 || | || 48/35 || 696.399 || | ||
|| [19 9 -1 -11> || 696.436 (9-limit least squares) || | || [19 9 -1 -11> || 696.436 (9-limit least squares) || | ||
|| 5/4 || 696.578 (5- 7- and 9-limit minimax, | || 5/4 || 696.578 (5- 7- and 9-limit minimax, 1/4 comma) || | ||
|| 49/48 || 696.616 || | || 49/48 || 696.616 || | ||
|| 60/49 || 696.626 || | || 60/49 || 696.626 || | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Common Meantone Temperaments (ie, tunings)"></a><!-- ws:end:WikiTextHeadingRule:4 -->Common Meantone Temperaments (ie, tunings)</h1> | <!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Common Meantone Temperaments (ie, tunings)"></a><!-- ws:end:WikiTextHeadingRule:4 -->Common Meantone Temperaments (ie, tunings)</h1> | ||
<ul><li><a class="wiki_link" href="/19edo">19-edo</a></li><li><a class="wiki_link" href="/1-3%20Syntonic%20Comma%20Meantone">1/3 Syntonic Comma Meantone</a></li><li><a class="wiki_link" href="/Golden%20Meantone">Golden Meantone</a></li><li><a class="wiki_link" href="/Quarter-comma%20meantone">1/4 Syntonic Comma Meantone</a></li><li><a class="wiki_link" href="/31edo">31-edo</a></li><li><a class="wiki_link" href="/1-5%20Syntonic%20Comma%20Meantone">1/5 Syntonic Comma Meantone</a></li><li><a class="wiki_link" href="/1-6%20Syntonic%20Comma%20Meantone">1/6 Syntonic Comma Meantone</a></li><li><a class="wiki_link" href="/12edo">12-edo</a></li><li><a class="wiki_link" href="/Lucy%20tuning">Lucy tuning</a></li></ul><br /> | <ul><li><a class="wiki_link" href="/19edo">19-edo</a></li><li><a class="wiki_link" href="/1-3%20Syntonic%20Comma%20Meantone">1/3 Syntonic Comma Meantone</a></li><li><a class="wiki_link" href="/Golden%20Meantone">Golden Meantone</a></li><li><a class="wiki_link" href="/Quarter-comma%20meantone">1/4 Syntonic Comma Meantone</a></li><li><a class="wiki_link" href="/31edo">31-edo</a></li><li><a class="wiki_link" href="/1-5%20Syntonic%20Comma%20Meantone">1/5 Syntonic Comma Meantone</a></li><li><a class="wiki_link" href="/1-6%20Syntonic%20Comma%20Meantone">1/6 Syntonic Comma Meantone</a></li><li><a class="wiki_link" href="/12edo">12-edo</a></li><li><a class="wiki_link" href="/Lucy%20tuning">Lucy tuning</a></li><li><a class="wiki_link" href="/50edo">50-edo</a></li></ul><br /> | ||
<!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Spectrum of Meantone Tunings by Eigenmonzos"></a><!-- ws:end:WikiTextHeadingRule:6 -->Spectrum of Meantone Tunings by Eigenmonzos</h1> | <!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Spectrum of Meantone Tunings by Eigenmonzos"></a><!-- ws:end:WikiTextHeadingRule:6 -->Spectrum of Meantone Tunings by Eigenmonzos</h1> | ||
| Line 237: | Line 237: | ||
<td>5/4<br /> | <td>5/4<br /> | ||
</td> | </td> | ||
<td>696.578 (5- 7- and 9-limit minimax, | <td>696.578 (5- 7- and 9-limit minimax, 1/4 comma)<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Links"></a><!-- ws:end:WikiTextHeadingRule:8 -->Links</h1> | <!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Links"></a><!-- ws:end:WikiTextHeadingRule:8 -->Links</h1> | ||
<ul><li><!-- ws:start:WikiTextUrlRule: | <ul><li><!-- ws:start:WikiTextUrlRule:427:http://home.earthlink.net/~kgann/histune.html --><a class="wiki_link_ext" href="http://home.earthlink.net/~kgann/histune.html" rel="nofollow">http://home.earthlink.net/~kgann/histune.html</a><!-- ws:end:WikiTextUrlRule:427 --> -- An Introduction to Historical Tunings, by <a class="wiki_link" href="/Kyle%20Gann">Kyle Gann</a></li></ul></body></html></pre></div> | ||