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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
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| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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| : This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-10-14 21:55:50 UTC</tt>.<br>
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| : The original revision id was <tt>264954242</tt>.<br>
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| : The revision comment was: <tt></tt><br>
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| 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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| <h4>Original Wikitext content:</h4>
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| <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">143edo is a scale which divides the [[octave]] into 143 equal divisions of approximately 8.392¢.
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| As 143 is 11*13, 143edo allows the [[polymicrotonality|polymicrotonal]] juxtaposition of [[11edo]] and [[13edo]]:
| | == Theory == |
| | 143edo is only [[consistent]] to the [[5-odd-limit]], and the error of the [[harmonic]] [[3/1|3]] is quite large. With the patent sharp fifth and flat 7, it supports a sharp form of [[slendric]] and [[hemithirds]] through to the [[13-limit]], while the 143b val provides a tuning almost identical with that of the [[POTE tuning]] for 7-limit [[meantone]]. |
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| [[image:13_against_11.gif width="800" height="312"]]
| | === Odd harmonics === |
| | {{Harmonics in equal|143}} |
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| If the 11edo and 13edo sub-scales share one tone (as in the diagram above), the resulting scale would have 23 tones in the octave; otherwise, it would have 24.</pre></div>
| | === Subsets and supersets === |
| <h4>Original HTML content:</h4>
| | As 143 is {{nowrap| 11 × 13 }}, 143edo allows the [[polymicrotonality|polymicrotonal juxtaposition]] of [[11edo]] and [[13edo]]: |
| <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>143edo</title></head><body>143edo is a scale which divides the <a class="wiki_link" href="/octave">octave</a> into 143 equal divisions of approximately 8.392¢.<br />
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| | [[File:13_against_11.gif|alt=13_against_11.gif|800x312px|13_against_11.gif]] |
| As 143 is 11*13, 143edo allows the <a class="wiki_link" href="/polymicrotonality">polymicrotonal</a> juxtaposition of <a class="wiki_link" href="/11edo">11edo</a> and <a class="wiki_link" href="/13edo">13edo</a>:<br /> | | |
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| | If the 11edo and 13edo subsets are analyzed as two scales that share the [[tonic]] and are then combined (as in the diagram above), the resulting scale would have 23 tones in the octave; otherwise, it would have 24. |
| <!-- ws:start:WikiTextLocalImageRule:0:&lt;img src=&quot;/file/view/13_against_11.gif/264953770/800x312/13_against_11.gif&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 312px; width: 800px;&quot; /&gt; --><img src="/file/view/13_against_11.gif/264953770/800x312/13_against_11.gif" alt="13_against_11.gif" title="13_against_11.gif" style="height: 312px; width: 800px;" /><!-- ws:end:WikiTextLocalImageRule:0 --><br />
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| | == Intervals == |
| If the 11edo and 13edo sub-scales share one tone (as in the diagram above), the resulting scale would have 23 tones in the octave; otherwise, it would have 24.</body></html></pre></div> | | {{Interval table}} |