Meantone family: Difference between revisions
Wikispaces>genewardsmith **Imported revision 491644042 - Original comment: ** |
Wikispaces>Gedankenwelt **Imported revision 492989726 - 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:Gedankenwelt|Gedankenwelt]] and made on <tt>2014-03-02 09:48:51 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>492989726</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> | ||
<h4>Original Wikitext content:</h4> | <h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html"><span style="display: block; text-align: right;">[[toc]] | <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;white-space: pre-wrap ! important" class="old-revision-html"><span style="display: block; text-align: right;">[[toc]] | ||
[[xenharmonie/mitteltönig|Deutsch]] | [[xenharmonie/mitteltönig|Deutsch]] | ||
</span> | </span> | ||
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Badness: 0.0315 | Badness: 0.0315 | ||
===13-limit=== | ===13-limit=== | ||
Commas: 33/32, 55/54, 77/75, 729/728 | Commas: 33/32, 55/54, 77/75, 729/728 | ||
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Badness: 0.0263 | Badness: 0.0263 | ||
==Meanundec== | ==Meanundec== | ||
Commas: 27/26, 40/39, 45/44, 56/55 | Commas: 27/26, 40/39, 45/44, 56/55 | ||
| Line 276: | Line 277: | ||
Badness: 0.0242 | Badness: 0.0242 | ||
==13-limit== | ==13-limit== | ||
Commas: 36/35, 56/55, 64/63, 66/65 | Commas: 36/35, 56/55, 64/63, 66/65 | ||
| Line 285: | Line 286: | ||
Badness: 0.0241 | Badness: 0.0241 | ||
==Dominion== | ==Dominion== | ||
Commas: 26/25, 36/35, 56/55, 64/63 | Commas: 26/25, 36/35, 56/55, 64/63 | ||
| Line 398: | Line 399: | ||
Badness: 0.0325 | Badness: 0.0325 | ||
=Supermean= | =Supermean= | ||
Commas: 81/80, 672/625 | Commas: 81/80, 672/625 | ||
| Line 407: | Line 408: | ||
Badness: 0.1342 | Badness: 0.1342 | ||
==11-limit== | ==11-limit== | ||
Commas: 56/55, 81/80, 132/125 | Commas: 56/55, 81/80, 132/125 | ||
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Badness: 0.0633 | Badness: 0.0633 | ||
==13-limit== | ==13-limit== | ||
Commas: 26/25, 56/55, 66/65, 81/80 | Commas: 26/25, 56/55, 66/65, 81/80 | ||
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Map: [<1 0 -4 2|, <0 2 8 1|] | Map: [<1 0 -4 2|, <0 2 8 1|] | ||
[[Wedgie]]: <<2 8 1 8 -4 -20|| | [[Wedgie]]: <<2 8 1 8 -4 -20|| | ||
EDOs: [[5edo|5]], [[9edo| | EDOs: [[5edo|5]], [[9edo|9c]], [[14edo|14c]], [[19edo|19]], [[62edo|62d]], [[81edo|81d]], 143bd | ||
[[Badness]]: 0.0267 | [[Badness]]: 0.0267 | ||
| Line 1,114: | Line 1,115: | ||
<!-- ws:end:WikiTextTocRule:270 --><!-- ws:start:WikiTextTocRule:271: --></div> | <!-- ws:end:WikiTextTocRule:270 --><!-- ws:start:WikiTextTocRule:271: --></div> | ||
<!-- ws:end:WikiTextTocRule:271 --><br /> | <!-- ws:end:WikiTextTocRule:271 --><br /> | ||
<br /> | |||
<a class="wiki_link" href="http://xenharmonie.wikispaces.com/mittelt%C3%B6nig">Deutsch</a><br /> | <a class="wiki_link" href="http://xenharmonie.wikispaces.com/mittelt%C3%B6nig">Deutsch</a><br /> | ||
</span><br /> | </span><br /> | ||
| Line 1,295: | Line 1,297: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:28:&lt;h3&gt; --><h3 id="toc14"><a name="Septimal meantone-Meanundeci-13-limit"></a><!-- ws:end:WikiTextHeadingRule:28 -->13-limit</h3> | <!-- ws:start:WikiTextHeadingRule:28:&lt;h3&gt; --><h3 id="toc14"><a name="Septimal meantone-Meanundeci-13-limit"></a><!-- ws:end:WikiTextHeadingRule:28 -->13-limit</h3> | ||
Commas: 33/32, 55/54, 77/75, 729/728<br /> | Commas: 33/32, 55/54, 77/75, 729/728<br /> | ||
<br /> | <br /> | ||
POTE generator: ~3/2 = 694.764<br /> | POTE generator: ~3/2 = 694.764<br /> | ||
| Line 1,305: | Line 1,307: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:30:&lt;h2&gt; --><h2 id="toc15"><a name="Septimal meantone-Meanundec"></a><!-- ws:end:WikiTextHeadingRule:30 -->Meanundec</h2> | <!-- ws:start:WikiTextHeadingRule:30:&lt;h2&gt; --><h2 id="toc15"><a name="Septimal meantone-Meanundec"></a><!-- ws:end:WikiTextHeadingRule:30 -->Meanundec</h2> | ||
Commas: 27/26, 40/39, 45/44, 56/55<br /> | Commas: 27/26, 40/39, 45/44, 56/55<br /> | ||
<br /> | <br /> | ||
POTE generator: ~3/2 = 697.254<br /> | POTE generator: ~3/2 = 697.254<br /> | ||
| Line 1,384: | Line 1,386: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:42:&lt;h2&gt; --><h2 id="toc21"><a name="Dominant-13-limit"></a><!-- ws:end:WikiTextHeadingRule:42 -->13-limit</h2> | <!-- ws:start:WikiTextHeadingRule:42:&lt;h2&gt; --><h2 id="toc21"><a name="Dominant-13-limit"></a><!-- ws:end:WikiTextHeadingRule:42 -->13-limit</h2> | ||
Commas: 36/35, 56/55, 64/63, 66/65<br /> | Commas: 36/35, 56/55, 64/63, 66/65<br /> | ||
<br /> | <br /> | ||
POTE generator: ~3/2 = 703.636<br /> | POTE generator: ~3/2 = 703.636<br /> | ||
| Line 1,393: | Line 1,395: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:44:&lt;h2&gt; --><h2 id="toc22"><a name="Dominant-Dominion"></a><!-- ws:end:WikiTextHeadingRule:44 -->Dominion</h2> | <!-- ws:start:WikiTextHeadingRule:44:&lt;h2&gt; --><h2 id="toc22"><a name="Dominant-Dominion"></a><!-- ws:end:WikiTextHeadingRule:44 -->Dominion</h2> | ||
Commas: 26/25, 36/35, 56/55, 64/63<br /> | Commas: 26/25, 36/35, 56/55, 64/63<br /> | ||
<br /> | <br /> | ||
POTE generator: ~3/2 = 704.905<br /> | POTE generator: ~3/2 = 704.905<br /> | ||
| Line 1,506: | Line 1,508: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:66:&lt;h1&gt; --><h1 id="toc33"><a name="Supermean"></a><!-- ws:end:WikiTextHeadingRule:66 -->Supermean</h1> | <!-- ws:start:WikiTextHeadingRule:66:&lt;h1&gt; --><h1 id="toc33"><a name="Supermean"></a><!-- ws:end:WikiTextHeadingRule:66 -->Supermean</h1> | ||
Commas: 81/80, 672/625<br /> | Commas: 81/80, 672/625<br /> | ||
<br /> | <br /> | ||
POTE generator: ~3/2 = 704.889<br /> | POTE generator: ~3/2 = 704.889<br /> | ||
| Line 1,515: | Line 1,517: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:68:&lt;h2&gt; --><h2 id="toc34"><a name="Supermean-11-limit"></a><!-- ws:end:WikiTextHeadingRule:68 -->11-limit</h2> | <!-- ws:start:WikiTextHeadingRule:68:&lt;h2&gt; --><h2 id="toc34"><a name="Supermean-11-limit"></a><!-- ws:end:WikiTextHeadingRule:68 -->11-limit</h2> | ||
Commas: 56/55, 81/80, 132/125<br /> | Commas: 56/55, 81/80, 132/125<br /> | ||
<br /> | <br /> | ||
POTE generator: ~3/2 = 705.096<br /> | POTE generator: ~3/2 = 705.096<br /> | ||
| Line 1,524: | Line 1,526: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:70:&lt;h2&gt; --><h2 id="toc35"><a name="Supermean-13-limit"></a><!-- ws:end:WikiTextHeadingRule:70 -->13-limit</h2> | <!-- ws:start:WikiTextHeadingRule:70:&lt;h2&gt; --><h2 id="toc35"><a name="Supermean-13-limit"></a><!-- ws:end:WikiTextHeadingRule:70 -->13-limit</h2> | ||
Commas: 26/25, 56/55, 66/65, 81/80<br /> | Commas: 26/25, 56/55, 66/65, 81/80<br /> | ||
<br /> | <br /> | ||
POTE generator: ~3/2 = 705.094<br /> | POTE generator: ~3/2 = 705.094<br /> | ||
| Line 1,610: | Line 1,612: | ||
Map: [&lt;1 0 -4 2|, &lt;0 2 8 1|]<br /> | Map: [&lt;1 0 -4 2|, &lt;0 2 8 1|]<br /> | ||
<a class="wiki_link" href="/Wedgie">Wedgie</a>: &lt;&lt;2 8 1 8 -4 -20||<br /> | <a class="wiki_link" href="/Wedgie">Wedgie</a>: &lt;&lt;2 8 1 8 -4 -20||<br /> | ||
EDOs: <a class="wiki_link" href="/5edo">5</a>, <a class="wiki_link" href="/9edo"> | EDOs: <a class="wiki_link" href="/5edo">5</a>, <a class="wiki_link" href="/9edo">9c</a>, <a class="wiki_link" href="/14edo">14c</a>, <a class="wiki_link" href="/19edo">19</a>, <a class="wiki_link" href="/62edo">62d</a>, <a class="wiki_link" href="/81edo">81d</a>, 143bd<br /> | ||
<a class="wiki_link" href="/Badness">Badness</a>: 0.0267<br /> | <a class="wiki_link" href="/Badness">Badness</a>: 0.0267<br /> | ||
<br /> | <br /> | ||