Meantone family: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 491644042 - Original comment: **
Wikispaces>Gedankenwelt
**Imported revision 492989726 - 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:genewardsmith|genewardsmith]] and made on <tt>2014-02-24 14:13:55 UTC</tt>.<br>
: 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>491644042</tt>.<br>
: 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">&lt;span style="display: block; text-align: right;"&gt;[[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">&lt;span style="display: block; text-align: right;"&gt;[[toc]]
[[xenharmonie/mitteltönig|Deutsch]]
[[xenharmonie/mitteltönig|Deutsch]]
&lt;/span&gt;
&lt;/span&gt;
Line 187: Line 188:
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


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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


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Badness: 0.1342
Badness: 0.1342


==11-limit==
==11-limit==  
Commas: 56/55, 81/80, 132/125
Commas: 56/55, 81/80, 132/125


Line 416: Line 417:
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


Line 503: Line 504:
Map: [&lt;1 0 -4 2|, &lt;0 2 8 1|]
Map: [&lt;1 0 -4 2|, &lt;0 2 8 1|]
[[Wedgie]]: &lt;&lt;2 8 1 8 -4 -20||
[[Wedgie]]: &lt;&lt;2 8 1 8 -4 -20||
EDOs: [[5edo|5]], [[9edo|9]], [[14edo|14]], [[19edo|19]], [[31edo|31]], [[81edo|81]], 143b
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:
&lt;!-- ws:end:WikiTextTocRule:270 --&gt;&lt;!-- ws:start:WikiTextTocRule:271: --&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:270 --&gt;&lt;!-- ws:start:WikiTextTocRule:271: --&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:271 --&gt;&lt;br /&gt;
&lt;!-- ws:end:WikiTextTocRule:271 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonie.wikispaces.com/mittelt%C3%B6nig"&gt;Deutsch&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonie.wikispaces.com/mittelt%C3%B6nig"&gt;Deutsch&lt;/a&gt;&lt;br /&gt;
&lt;/span&gt;&lt;br /&gt;
&lt;/span&gt;&lt;br /&gt;
Line 1,295: Line 1,297:
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:28:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc14"&gt;&lt;a name="Septimal meantone-Meanundeci-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt;13-limit&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:28:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc14"&gt;&lt;a name="Septimal meantone-Meanundeci-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt;13-limit&lt;/h3&gt;
Commas: 33/32, 55/54, 77/75, 729/728&lt;br /&gt;
Commas: 33/32, 55/54, 77/75, 729/728&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~3/2 = 694.764&lt;br /&gt;
POTE generator: ~3/2 = 694.764&lt;br /&gt;
Line 1,305: Line 1,307:
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:30:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc15"&gt;&lt;a name="Septimal meantone-Meanundec"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:30 --&gt;Meanundec&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:30:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc15"&gt;&lt;a name="Septimal meantone-Meanundec"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:30 --&gt;Meanundec&lt;/h2&gt;
Commas: 27/26, 40/39, 45/44, 56/55&lt;br /&gt;
Commas: 27/26, 40/39, 45/44, 56/55&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~3/2 = 697.254&lt;br /&gt;
POTE generator: ~3/2 = 697.254&lt;br /&gt;
Line 1,384: Line 1,386:
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:42:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc21"&gt;&lt;a name="Dominant-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:42 --&gt;13-limit&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:42:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc21"&gt;&lt;a name="Dominant-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:42 --&gt;13-limit&lt;/h2&gt;
Commas: 36/35, 56/55, 64/63, 66/65&lt;br /&gt;
Commas: 36/35, 56/55, 64/63, 66/65&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~3/2 = 703.636&lt;br /&gt;
POTE generator: ~3/2 = 703.636&lt;br /&gt;
Line 1,393: Line 1,395:
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:44:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc22"&gt;&lt;a name="Dominant-Dominion"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:44 --&gt;Dominion&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:44:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc22"&gt;&lt;a name="Dominant-Dominion"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:44 --&gt;Dominion&lt;/h2&gt;
Commas: 26/25, 36/35, 56/55, 64/63&lt;br /&gt;
Commas: 26/25, 36/35, 56/55, 64/63&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~3/2 = 704.905&lt;br /&gt;
POTE generator: ~3/2 = 704.905&lt;br /&gt;
Line 1,506: Line 1,508:
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:66:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc33"&gt;&lt;a name="Supermean"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:66 --&gt;Supermean&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:66:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc33"&gt;&lt;a name="Supermean"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:66 --&gt;Supermean&lt;/h1&gt;
Commas: 81/80, 672/625&lt;br /&gt;
Commas: 81/80, 672/625&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~3/2 = 704.889&lt;br /&gt;
POTE generator: ~3/2 = 704.889&lt;br /&gt;
Line 1,515: Line 1,517:
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:68:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc34"&gt;&lt;a name="Supermean-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:68 --&gt;11-limit&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:68:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc34"&gt;&lt;a name="Supermean-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:68 --&gt;11-limit&lt;/h2&gt;
Commas: 56/55, 81/80, 132/125&lt;br /&gt;
Commas: 56/55, 81/80, 132/125&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~3/2 = 705.096&lt;br /&gt;
POTE generator: ~3/2 = 705.096&lt;br /&gt;
Line 1,524: Line 1,526:
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:70:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc35"&gt;&lt;a name="Supermean-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:70 --&gt;13-limit&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:70:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc35"&gt;&lt;a name="Supermean-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:70 --&gt;13-limit&lt;/h2&gt;
Commas: 26/25, 56/55, 66/65, 81/80&lt;br /&gt;
Commas: 26/25, 56/55, 66/65, 81/80&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~3/2 = 705.094&lt;br /&gt;
POTE generator: ~3/2 = 705.094&lt;br /&gt;
Line 1,610: Line 1,612:
Map: [&amp;lt;1 0 -4 2|, &amp;lt;0 2 8 1|]&lt;br /&gt;
Map: [&amp;lt;1 0 -4 2|, &amp;lt;0 2 8 1|]&lt;br /&gt;
&lt;a class="wiki_link" href="/Wedgie"&gt;Wedgie&lt;/a&gt;: &amp;lt;&amp;lt;2 8 1 8 -4 -20||&lt;br /&gt;
&lt;a class="wiki_link" href="/Wedgie"&gt;Wedgie&lt;/a&gt;: &amp;lt;&amp;lt;2 8 1 8 -4 -20||&lt;br /&gt;
EDOs: &lt;a class="wiki_link" href="/5edo"&gt;5&lt;/a&gt;, &lt;a class="wiki_link" href="/9edo"&gt;9&lt;/a&gt;, &lt;a class="wiki_link" href="/14edo"&gt;14&lt;/a&gt;, &lt;a class="wiki_link" href="/19edo"&gt;19&lt;/a&gt;, &lt;a class="wiki_link" href="/31edo"&gt;31&lt;/a&gt;, &lt;a class="wiki_link" href="/81edo"&gt;81&lt;/a&gt;, 143b&lt;br /&gt;
EDOs: &lt;a class="wiki_link" href="/5edo"&gt;5&lt;/a&gt;, &lt;a class="wiki_link" href="/9edo"&gt;9c&lt;/a&gt;, &lt;a class="wiki_link" href="/14edo"&gt;14c&lt;/a&gt;, &lt;a class="wiki_link" href="/19edo"&gt;19&lt;/a&gt;, &lt;a class="wiki_link" href="/62edo"&gt;62d&lt;/a&gt;, &lt;a class="wiki_link" href="/81edo"&gt;81d&lt;/a&gt;, 143bd&lt;br /&gt;
&lt;a class="wiki_link" href="/Badness"&gt;Badness&lt;/a&gt;: 0.0267&lt;br /&gt;
&lt;a class="wiki_link" href="/Badness"&gt;Badness&lt;/a&gt;: 0.0267&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;