7edt
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author genewardsmith and made on 2011-09-06 16:42:37 UTC.
- The original revision id was 251313288.
- The revision comment was:
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Original Wikitext content:
[[toc|flat]] =Properties= The 7 equal division of 3, the tritave, divides it into 7 equal parts of 271.708 cents each, corresponding to 4.4165 edo. The step size is very close to the 271.509 cents of 7-limit [[Orwell|orwell temperament]] and also close to the 271.426 cents of 11-limit orwell. It is almost identical to 12\53, the [[53edo]] orwell generator which is 271.698 cents. =Scale degrees of 7edt= || Degrees || Cents || Approximate Ratio || || 0 || 0 || [[1_1|1/1]] || || 1 || 271.708 || [[7_6|7/6]] || || 2 || 543.416 || [[15_11|15/11]], [[11_8|11/8]] || || 3 || 815.124 || [[8_5|8/5]] || || 4 || 1086.831 || [[15_8|15/8]] || || 5 || 1358.539 || 11/5 ([[11_10|11/10]] plus an octave) || || 6 || 1630.247 || 18/7 ([[9_7|9/7]] plus an octave) || || 7 || 1901.955 || 3/1 || Since one step of 7edt is a sharp subminor (7/6) third, three steps are almost exactlty 8/5, four steps are very nearly 15/8 and six steps are a bit flat of 18/7, 7edt is the lowest equal division of the tritave to accurately approximate some 7-limit harmony. Seven steps make up a tritave, meaning that 7edt tempers out 839808/823543, the blair comma. =7n-edt Family:= [[14edt]] [[21edt]] [[28edt]] ...
Original HTML content:
<html><head><title>7edt</title></head><body><!-- ws:start:WikiTextTocRule:6:<img id="wikitext@@toc@@flat" class="WikiMedia WikiMediaTocFlat" title="Table of Contents" src="/site/embedthumbnail/toc/flat?w=100&h=16"/> --><!-- ws:end:WikiTextTocRule:6 --><!-- ws:start:WikiTextTocRule:7: --><a href="#Properties">Properties</a><!-- ws:end:WikiTextTocRule:7 --><!-- ws:start:WikiTextTocRule:8: --> | <a href="#Scale degrees of 7edt">Scale degrees of 7edt</a><!-- ws:end:WikiTextTocRule:8 --><!-- ws:start:WikiTextTocRule:9: --> | <a href="#x7n-edt Family:">7n-edt Family:</a><!-- ws:end:WikiTextTocRule:9 --><!-- ws:start:WikiTextTocRule:10: -->
<!-- ws:end:WikiTextTocRule:10 --><br />
<!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Properties"></a><!-- ws:end:WikiTextHeadingRule:0 -->Properties</h1>
The 7 equal division of 3, the tritave, divides it into 7 equal parts of 271.708 cents each, corresponding to 4.4165 edo. The step size is very close to the 271.509 cents of 7-limit <a class="wiki_link" href="/Orwell">orwell temperament</a> and also close to the 271.426 cents of 11-limit orwell. It is almost identical to 12\53, the <a class="wiki_link" href="/53edo">53edo</a> orwell generator which is 271.698 cents.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:<h1> --><h1 id="toc1"><a name="Scale degrees of 7edt"></a><!-- ws:end:WikiTextHeadingRule:2 -->Scale degrees of 7edt</h1>
<table class="wiki_table">
<tr>
<td>Degrees<br />
</td>
<td>Cents<br />
</td>
<td>Approximate Ratio<br />
</td>
</tr>
<tr>
<td>0<br />
</td>
<td>0<br />
</td>
<td><a class="wiki_link" href="/1_1">1/1</a><br />
</td>
</tr>
<tr>
<td>1<br />
</td>
<td>271.708<br />
</td>
<td><a class="wiki_link" href="/7_6">7/6</a><br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td>543.416<br />
</td>
<td><a class="wiki_link" href="/15_11">15/11</a>, <a class="wiki_link" href="/11_8">11/8</a><br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td>815.124<br />
</td>
<td><a class="wiki_link" href="/8_5">8/5</a><br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td>1086.831<br />
</td>
<td><a class="wiki_link" href="/15_8">15/8</a><br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td>1358.539<br />
</td>
<td>11/5 (<a class="wiki_link" href="/11_10">11/10</a> plus an octave)<br />
</td>
</tr>
<tr>
<td>6<br />
</td>
<td>1630.247<br />
</td>
<td>18/7 (<a class="wiki_link" href="/9_7">9/7</a> plus an octave)<br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td>1901.955<br />
</td>
<td>3/1<br />
</td>
</tr>
</table>
<br />
Since one step of 7edt is a sharp subminor (7/6) third, three steps are almost exactlty 8/5, four steps are very nearly 15/8 and six steps are a bit flat of 18/7, 7edt is the lowest equal division of the tritave to accurately approximate some 7-limit harmony. Seven steps make up a tritave, meaning that 7edt tempers out 839808/823543, the blair comma.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:<h1> --><h1 id="toc2"><a name="x7n-edt Family:"></a><!-- ws:end:WikiTextHeadingRule:4 -->7n-edt Family:</h1>
<a class="wiki_link" href="/14edt">14edt</a><br />
<a class="wiki_link" href="/21edt">21edt</a><br />
<a class="wiki_link" href="/28edt">28edt</a><br />
...</body></html>