Hemimean family: Difference between revisions
Wikispaces>genewardsmith **Imported revision 247576555 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 268804606 - 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>2011- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-10-26 12:17:10 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>268804606</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">The hemimean comma, 3136/3125, is the ratio between the diesis and the tritonic diesis, or jubilisma; that is, (128/125)/(50/49). This is a no-threes comma, with [[Spectrum of a temperament|spectrum]] 5/4, 7/5, 4/3, 6/5, 8/7, 7/6, 9/8, 10/9, 9/7. | <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">[[toc|flat]] | ||
The hemimean comma, 3136/3125, is the ratio between the diesis and the tritonic diesis, or jubilisma; that is, (128/125)/(50/49). This is a no-threes comma, with [[Spectrum of a temperament|spectrum]] 5/4, 7/5, 4/3, 6/5, 8/7, 7/6, 9/8, 10/9, 9/7. | |||
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[[Projection pair]]s: 5 3136/625 7 68841472/9765625 to 2.3.25/7 | [[Projection pair]]s: 5 3136/625 7 68841472/9765625 to 2.3.25/7 | ||
=Belobog= | |||
[[Comma|Commas]]: 3136/3125, 441/440 | [[Comma|Commas]]: 3136/3125, 441/440 | ||
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Scales: [[belobog31]] | Scales: [[belobog31]] | ||
==13-limit== | |||
Commas: 441/440, 1001/1000, 3136/3125 | Commas: 441/440, 1001/1000, 3136/3125 | ||
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Badness: 0.00111 | Badness: 0.00111 | ||
==Bellowblog== | |||
Commas: 196/195, 352/351, 625/624 | Commas: 196/195, 352/351, 625/624 | ||
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Badness: 0.00126 | Badness: 0.00126 | ||
=Siebog= | |||
[[Comma|Commas]]: 3136/3125, 540/539 | [[Comma|Commas]]: 3136/3125, 540/539 | ||
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Badness: 0.000870</pre></div> | Badness: 0.000870</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>Hemimean family</title></head><body>The hemimean comma, 3136/3125, is the ratio between the diesis and the tritonic diesis, or jubilisma; that is, (128/125)/(50/49). This is a no-threes comma, with <a class="wiki_link" href="/Spectrum%20of%20a%20temperament">spectrum</a> 5/4, 7/5, 4/3, 6/5, 8/7, 7/6, 9/8, 10/9, 9/7.<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>Hemimean family</title></head><body><!-- ws:start:WikiTextTocRule:8:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:8 --><!-- ws:start:WikiTextTocRule:9: --><a href="#Belobog">Belobog</a><!-- ws:end:WikiTextTocRule:9 --><!-- ws:start:WikiTextTocRule:10: --><!-- ws:end:WikiTextTocRule:10 --><!-- ws:start:WikiTextTocRule:11: --><!-- ws:end:WikiTextTocRule:11 --><!-- ws:start:WikiTextTocRule:12: --> | <a href="#Siebog">Siebog</a><!-- ws:end:WikiTextTocRule:12 --><!-- ws:start:WikiTextTocRule:13: --> | ||
<!-- ws:end:WikiTextTocRule:13 --><br /> | |||
<br /> | |||
The hemimean comma, 3136/3125, is the ratio between the diesis and the tritonic diesis, or jubilisma; that is, (128/125)/(50/49). This is a no-threes comma, with <a class="wiki_link" href="/Spectrum%20of%20a%20temperament">spectrum</a> 5/4, 7/5, 4/3, 6/5, 8/7, 7/6, 9/8, 10/9, 9/7.<br /> | |||
<br /> | <br /> | ||
<br /> | <br /> | ||
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<a class="wiki_link" href="/Projection%20pair">Projection pair</a>s: 5 3136/625 7 68841472/9765625 to 2.3.25/7<br /> | <a class="wiki_link" href="/Projection%20pair">Projection pair</a>s: 5 3136/625 7 68841472/9765625 to 2.3.25/7<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt; | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Belobog"></a><!-- ws:end:WikiTextHeadingRule:0 -->Belobog</h1> | ||
<a class="wiki_link" href="/Comma">Commas</a>: 3136/3125, 441/440<br /> | <a class="wiki_link" href="/Comma">Commas</a>: 3136/3125, 441/440<br /> | ||
<br /> | <br /> | ||
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Scales: <a class="wiki_link" href="/belobog31">belobog31</a><br /> | Scales: <a class="wiki_link" href="/belobog31">belobog31</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt; | <!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Belobog-13-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->13-limit</h2> | ||
Commas: 441/440, 1001/1000, 3136/3125<br /> | Commas: 441/440, 1001/1000, 3136/3125<br /> | ||
<br /> | <br /> | ||
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Badness: 0.00111<br /> | Badness: 0.00111<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:4:&lt; | <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Belobog-Bellowblog"></a><!-- ws:end:WikiTextHeadingRule:4 -->Bellowblog</h2> | ||
Commas: 196/195, 352/351, 625/624<br /> | Commas: 196/195, 352/351, 625/624<br /> | ||
<br /> | <br /> | ||
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Badness: 0.00126<br /> | Badness: 0.00126<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:6:&lt; | <!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Siebog"></a><!-- ws:end:WikiTextHeadingRule:6 -->Siebog</h1> | ||
<a class="wiki_link" href="/Comma">Commas</a>: 3136/3125, 540/539<br /> | <a class="wiki_link" href="/Comma">Commas</a>: 3136/3125, 540/539<br /> | ||
<br /> | <br /> | ||