13edt: Difference between revisions

Wikispaces>JosephRuhf
**Imported revision 596162028 - Original comment: **
Wikispaces>JosephRuhf
**Imported revision 596189816 - 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:JosephRuhf|JosephRuhf]] and made on <tt>2016-10-19 15:53:33 UTC</tt>.<br>
: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-10-19 23:56:31 UTC</tt>.<br>
: The original revision id was <tt>596162028</tt>.<br>
: The original revision id was <tt>596189816</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>
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==Intervals==  
==Intervals==  
||~ Steps ||~ Cents ||~ BP nonatonic degree ||~ Corresponding JI intervals ||~ Comments ||~ Generator for... ||
||~ Steps ||~ Cents ||~ BP nonatonic degree ||~ Corresponding JI intervals ||~ Comments ||~ Generator for... ||
|| 1 || 146.3 || P1/m2 || 27/25~49/45 ||  ||  ||
|| 1 || 146.3 || A1/m2 || 27/25~49/45 ||  ||  ||
|| 2 || 292.6 || M2/m3 || 25/21 ||  || [[Siirius]] ||
|| 2 || 292.6 || M2/d3 || 25/21 ||  || [[Sirius]] ||
|| 3 || 438.9 || M3 || 9/7 ||  || [[Bohlen-Pierce|Linear BP]] ||
|| 3 || 438.9 || A2/P3/d4 || 9/7 ||  || [[Bohlen-Pierce|Linear BP]] ||
|| 4 || 585.2 || m4 || 7/5 ||  || [[Canopus]] ||
|| 4 || 585.2 || A3/m4/d5 || 7/5 ||  || [[Canopus]] ||
|| 5 || 731.5 || M4/m5 || 75/49 || False 3/2 || false Father ||
|| 5 || 731.5 || M4/m5 || 75/49 || False 3/2 || false Father ||
|| 6 || 877.8 || M5 || 5/3 ||  || [[Arcturus]] ||
|| 6 || 877.8 || A4/M5 || 5/3 ||  || [[Arcturus]] ||
|| 7 || 1024.1 || m6 || 9/5 ||  || Arcturus ||
|| 7 || 1024.1 || A5/m6/d7 || 9/5 ||  || Arcturus ||
|| 8 || 1170.4 || M6/m7 || 49/25 || False 2/1 || false Father ||
|| 8 || 1170.4 || M6/m7 || 49/25 || False 2/1 || false Father ||
|| 9 || 1316.7 || M7 || 15/7 ||  || Canopus ||
|| 9 || 1316.7 || A6/M7/d8 || 15/7 ||  || Canopus ||
|| 10 || 1463.0 || m8 || 7/3 ||  || Linear BP ||
|| 10 || 1463.0 || P8/d9 || 7/3 ||  || Linear BP ||
|| 11 || 1609.3 || M8/m9 || 63/25 ||  || Sirius ||
|| 11 || 1609.3 || A8/m9 || 63/25 ||  || Sirius ||
|| 12 || 1755.7 || M9 || 25/9~135/49 ||  ||  ||
|| 12 || 1755.7 || M9/d10 || 25/9~135/49 ||  ||  ||
|| 13 || 1902.0 || P10 || 3/1 || Tritave ||  ||</pre></div>
|| 13 || 1902.0 || A9/P10 || 3/1 || Tritave ||  ||</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">&lt;html&gt;&lt;head&gt;&lt;title&gt;13edt&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The 13 equal division of 3, the tritave, divides it into 13 equal parts of 146.304 cents each, corresponding to 8.202 edo. An alternative name for it is the &lt;a class="wiki_link" href="/Bohlen-Pierce"&gt;Bohlen-Pierce&lt;/a&gt; scale. In the 7-limit, it tempers out 245/243 and 3125/3087, the same commas as &lt;a class="wiki_link" href="/Sensamagic%20clan#Bohpier"&gt;bohpier temperament&lt;/a&gt;. It is less impressive in higher p-limits, but makes for excellent no-twos 7-limit harmony. For higher limits, the multiples of 13 &lt;a class="wiki_link" href="/26edt"&gt;26edt&lt;/a&gt;, &lt;a class="wiki_link" href="/39edt"&gt;39edt&lt;/a&gt; and &lt;a class="wiki_link" href="/52edt"&gt;52edt&lt;/a&gt; come to the fore.&lt;br /&gt;
<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;13edt&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The 13 equal division of 3, the tritave, divides it into 13 equal parts of 146.304 cents each, corresponding to 8.202 edo. An alternative name for it is the &lt;a class="wiki_link" href="/Bohlen-Pierce"&gt;Bohlen-Pierce&lt;/a&gt; scale. In the 7-limit, it tempers out 245/243 and 3125/3087, the same commas as &lt;a class="wiki_link" href="/Sensamagic%20clan#Bohpier"&gt;bohpier temperament&lt;/a&gt;. It is less impressive in higher p-limits, but makes for excellent no-twos 7-limit harmony. For higher limits, the multiples of 13 &lt;a class="wiki_link" href="/26edt"&gt;26edt&lt;/a&gt;, &lt;a class="wiki_link" href="/39edt"&gt;39edt&lt;/a&gt; and &lt;a class="wiki_link" href="/52edt"&gt;52edt&lt;/a&gt; come to the fore.&lt;br /&gt;
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         &lt;td&gt;146.3&lt;br /&gt;
         &lt;td&gt;146.3&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;P1/m2&lt;br /&gt;
         &lt;td&gt;A1/m2&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;27/25~49/45&lt;br /&gt;
         &lt;td&gt;27/25~49/45&lt;br /&gt;
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         &lt;td&gt;292.6&lt;br /&gt;
         &lt;td&gt;292.6&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;M2/m3&lt;br /&gt;
         &lt;td&gt;M2/d3&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;25/21&lt;br /&gt;
         &lt;td&gt;25/21&lt;br /&gt;
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         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="/Siirius"&gt;Siirius&lt;/a&gt;&lt;br /&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="/Sirius"&gt;Sirius&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;438.9&lt;br /&gt;
         &lt;td&gt;438.9&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;M3&lt;br /&gt;
         &lt;td&gt;A2/P3/d4&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;9/7&lt;br /&gt;
         &lt;td&gt;9/7&lt;br /&gt;
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         &lt;td&gt;585.2&lt;br /&gt;
         &lt;td&gt;585.2&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;m4&lt;br /&gt;
         &lt;td&gt;A3/m4/d5&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;7/5&lt;br /&gt;
         &lt;td&gt;7/5&lt;br /&gt;
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         &lt;td&gt;877.8&lt;br /&gt;
         &lt;td&gt;877.8&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;M5&lt;br /&gt;
         &lt;td&gt;A4/M5&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;5/3&lt;br /&gt;
         &lt;td&gt;5/3&lt;br /&gt;
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         &lt;td&gt;1024.1&lt;br /&gt;
         &lt;td&gt;1024.1&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;m6&lt;br /&gt;
         &lt;td&gt;A5/m6/d7&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;9/5&lt;br /&gt;
         &lt;td&gt;9/5&lt;br /&gt;
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         &lt;td&gt;1316.7&lt;br /&gt;
         &lt;td&gt;1316.7&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;M7&lt;br /&gt;
         &lt;td&gt;A6/M7/d8&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;15/7&lt;br /&gt;
         &lt;td&gt;15/7&lt;br /&gt;
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         &lt;td&gt;1463.0&lt;br /&gt;
         &lt;td&gt;1463.0&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;m8&lt;br /&gt;
         &lt;td&gt;P8/d9&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;7/3&lt;br /&gt;
         &lt;td&gt;7/3&lt;br /&gt;
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         &lt;td&gt;1609.3&lt;br /&gt;
         &lt;td&gt;1609.3&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;M8/m9&lt;br /&gt;
         &lt;td&gt;A8/m9&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;63/25&lt;br /&gt;
         &lt;td&gt;63/25&lt;br /&gt;
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         &lt;td&gt;1755.7&lt;br /&gt;
         &lt;td&gt;1755.7&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;M9&lt;br /&gt;
         &lt;td&gt;M9/d10&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;25/9~135/49&lt;br /&gt;
         &lt;td&gt;25/9~135/49&lt;br /&gt;
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         &lt;td&gt;1902.0&lt;br /&gt;
         &lt;td&gt;1902.0&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;P10&lt;br /&gt;
         &lt;td&gt;A9/P10&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;3/1&lt;br /&gt;
         &lt;td&gt;3/1&lt;br /&gt;