16edt: Difference between revisions

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Wikispaces>JosephRuhf
**Imported revision 591718118 - Original comment: **
Wikispaces>xenwolf
**Imported revision 602892288 - 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:JosephRuhf|JosephRuhf]] and made on <tt>2016-09-12 15:01:21 UTC</tt>.<br>
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2016-12-29 10:06:04 UTC</tt>.<br>
: The original revision id was <tt>591718118</tt>.<br>
: The original revision id was <tt>602892288</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">=Properties=  
<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">=Properties=  
As the double of [[8edt]], this division of the tritave is harmonically fraternal to 10edo. Its unit step is ~1.128 cents flat of 1\10edo. Unlike 10edo, it does not really have a 7 or 13 because it is not using its approximation of 2 as equivalent though the accumulated flatness of a stack of its unit step leads to an excellent 13:21 and a decent 7:13. When twos are admitted, it turns into a tritave-repeating version of Blackwood temperament.
As the double of [[8edt]], this division of the tritave is harmonically fraternal to [[10edo]]. Its unit step is ~1.128 cents flat of 1\10edo. Unlike 10edo, it does not really have a 7 or 13 because it is not using its approximation of 2 as equivalent though the accumulated flatness of a stack of its unit step leads to an excellent [[21_13|13:21]] and a decent [[13_7|7:13]]. When twos are admitted, it turns into a tritave-repeating version of Blackwood temperament.
 
=Intervals=  
=Intervals=  
|| 1 || 118.87219¢ ||
||~ Degree ||~ Size in [[cent|Cents]] ||
|| 2 || 237.74438 ||
||= 1 ||&gt;  118.87219 ||
|| 3 || 356.61656 ||
||= 2 ||&gt;  237.74438 ||
|| 4 || 475.48875 ||
||= 3 ||&gt;  356.61656 ||
|| 5 || 594.36094 ||
||= 4 ||&gt;  475.48875 ||
|| 6 || 713.23312 ||
||= 5 ||&gt;  594.36094 ||
|| 7 || 832.10531 ||
||= 6 ||&gt;  713.23312 ||
|| 8 || [[@tel/950.9775|950.9775]] ||
||= 7 ||&gt;  832.10531 ||
|| 9 || 1069.84969 ||
||= 8 ||&gt;  950.97750 ||
|| 10 || 1188.72188 ||
||= 9 ||&gt; 1069.84969 ||
|| 11 || 1307.59406 ||
||= 10 ||&gt; 1188.72188 ||
|| 12 || 1426.46625 ||
||= 11 ||&gt; 1307.59406 ||
|| 13 || 1545.33844 ||
||= 12 ||&gt; 1426.46625 ||
|| 14 || 1664.21063 ||
||= 13 ||&gt; 1545.33844 ||
|| 15 || 1783.08281 ||
||= 14 ||&gt; 1664.21063 ||
|| 16 || 1901.955 ||
||= 15 ||&gt; 1783.08281 ||
||= 16 ||&gt; 1901.95500 ||


=Music=  
=Music=  
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<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;16edt&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Properties"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Properties&lt;/h1&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;16edt&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Properties"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Properties&lt;/h1&gt;
  As the double of &lt;a class="wiki_link" href="/8edt"&gt;8edt&lt;/a&gt;, this division of the tritave is harmonically fraternal to 10edo. Its unit step is ~1.128 cents flat of 1\10edo. Unlike 10edo, it does not really have a 7 or 13 because it is not using its approximation of 2 as equivalent though the accumulated flatness of a stack of its unit step leads to an excellent 13:21 and a decent 7:13. When twos are admitted, it turns into a tritave-repeating version of Blackwood temperament.&lt;br /&gt;
  As the double of &lt;a class="wiki_link" href="/8edt"&gt;8edt&lt;/a&gt;, this division of the tritave is harmonically fraternal to &lt;a class="wiki_link" href="/10edo"&gt;10edo&lt;/a&gt;. Its unit step is ~1.128 cents flat of 1\10edo. Unlike 10edo, it does not really have a 7 or 13 because it is not using its approximation of 2 as equivalent though the accumulated flatness of a stack of its unit step leads to an excellent &lt;a class="wiki_link" href="/21_13"&gt;13:21&lt;/a&gt; and a decent &lt;a class="wiki_link" href="/13_7"&gt;7:13&lt;/a&gt;. When twos are admitted, it turns into a tritave-repeating version of Blackwood temperament.&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Intervals"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Intervals&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Intervals"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Intervals&lt;/h1&gt;
   
   
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&lt;table class="wiki_table"&gt;
&lt;table class="wiki_table"&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;1&lt;br /&gt;
        &lt;th&gt;Degree&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Size in &lt;a class="wiki_link" href="/cent"&gt;Cents&lt;/a&gt;&lt;br /&gt;
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         &lt;td style="text-align: center;"&gt;1&lt;br /&gt;
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         &lt;td&gt;118.87219¢&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;118.87219&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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     &lt;tr&gt;
         &lt;td&gt;2&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;2&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;237.74438&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;237.74438&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;3&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;3&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;356.61656&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;356.61656&lt;br /&gt;
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&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;4&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;4&lt;br /&gt;
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&lt;/td&gt;
         &lt;td&gt;475.48875&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;475.48875&lt;br /&gt;
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&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;5&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;5&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;594.36094&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;594.36094&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;6&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;6&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;713.23312&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;713.23312&lt;br /&gt;
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&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;7&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;7&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;832.10531&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;832.10531&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;8&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;8&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="http://tel.wikispaces.com/950.9775" target="_blank"&gt;950.9775&lt;/a&gt;&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;950.97750&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;9&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;9&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1069.84969&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;1069.84969&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;10&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;10&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1188.72188&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;1188.72188&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;11&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;11&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1307.59406&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;1307.59406&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;12&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;12&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1426.46625&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;1426.46625&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;13&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;13&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1545.33844&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;1545.33844&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;14&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;14&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1664.21063&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;1664.21063&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;15&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;15&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1783.08281&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;1783.08281&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;16&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;16&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1901.955&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;1901.95500&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;

Revision as of 10:06, 29 December 2016

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author xenwolf and made on 2016-12-29 10:06:04 UTC.
The original revision id was 602892288.
The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

=Properties= 
As the double of [[8edt]], this division of the tritave is harmonically fraternal to [[10edo]]. Its unit step is ~1.128 cents flat of 1\10edo. Unlike 10edo, it does not really have a 7 or 13 because it is not using its approximation of 2 as equivalent though the accumulated flatness of a stack of its unit step leads to an excellent [[21_13|13:21]] and a decent [[13_7|7:13]]. When twos are admitted, it turns into a tritave-repeating version of Blackwood temperament.

=Intervals= 
||~ Degree ||~ Size in [[cent|Cents]] ||
||= 1  ||>  118.87219 ||
||= 2  ||>  237.74438 ||
||= 3  ||>  356.61656 ||
||= 4  ||>  475.48875 ||
||= 5  ||>  594.36094 ||
||= 6  ||>  713.23312 ||
||= 7  ||>  832.10531 ||
||= 8  ||>  950.97750 ||
||= 9  ||> 1069.84969 ||
||= 10 ||> 1188.72188 ||
||= 11 ||> 1307.59406 ||
||= 12 ||> 1426.46625 ||
||= 13 ||> 1545.33844 ||
||= 14 ||> 1664.21063 ||
||= 15 ||> 1783.08281 ||
||= 16 ||> 1901.95500 ||

=Music= 
[[@http://soonlabel.com/xenharmonic/wp-content/uploads/2011/11/16-edt.mp3|A Short Tune in 16EDT]] by [[@Peter 'Rush' Kosmorsky]]

Original HTML content:

<html><head><title>16edt</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Properties"></a><!-- ws:end:WikiTextHeadingRule:0 -->Properties</h1>
 As the double of <a class="wiki_link" href="/8edt">8edt</a>, this division of the tritave is harmonically fraternal to <a class="wiki_link" href="/10edo">10edo</a>. Its unit step is ~1.128 cents flat of 1\10edo. Unlike 10edo, it does not really have a 7 or 13 because it is not using its approximation of 2 as equivalent though the accumulated flatness of a stack of its unit step leads to an excellent <a class="wiki_link" href="/21_13">13:21</a> and a decent <a class="wiki_link" href="/13_7">7:13</a>. When twos are admitted, it turns into a tritave-repeating version of Blackwood temperament.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Intervals"></a><!-- ws:end:WikiTextHeadingRule:2 -->Intervals</h1>
 

<table class="wiki_table">
    <tr>
        <th>Degree<br />
</th>
        <th>Size in <a class="wiki_link" href="/cent">Cents</a><br />
</th>
    </tr>
    <tr>
        <td style="text-align: center;">1<br />
</td>
        <td style="text-align: right;">118.87219<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">2<br />
</td>
        <td style="text-align: right;">237.74438<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3<br />
</td>
        <td style="text-align: right;">356.61656<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">4<br />
</td>
        <td style="text-align: right;">475.48875<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">5<br />
</td>
        <td style="text-align: right;">594.36094<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">6<br />
</td>
        <td style="text-align: right;">713.23312<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">7<br />
</td>
        <td style="text-align: right;">832.10531<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">8<br />
</td>
        <td style="text-align: right;">950.97750<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">9<br />
</td>
        <td style="text-align: right;">1069.84969<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">10<br />
</td>
        <td style="text-align: right;">1188.72188<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">11<br />
</td>
        <td style="text-align: right;">1307.59406<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">12<br />
</td>
        <td style="text-align: right;">1426.46625<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">13<br />
</td>
        <td style="text-align: right;">1545.33844<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">14<br />
</td>
        <td style="text-align: right;">1664.21063<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">15<br />
</td>
        <td style="text-align: right;">1783.08281<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">16<br />
</td>
        <td style="text-align: right;">1901.95500<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:4 -->Music</h1>
 <a class="wiki_link_ext" href="http://soonlabel.com/xenharmonic/wp-content/uploads/2011/11/16-edt.mp3" rel="nofollow" target="_blank">A Short Tune in 16EDT</a> by <a class="wiki_link" href="/Peter%20%27Rush%27%20Kosmorsky" target="_blank">Peter 'Rush' Kosmorsky</a></body></html>