84edo: Difference between revisions

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Wikispaces>JosephRuhf
**Imported revision 591051284 - Original comment: **
Wikispaces>xenwolf
**Imported revision 597691574 - Original comment: removed tel links**
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>2016-09-04 22:05:19 UTC</tt>.<br>
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2016-11-01 18:13:58 UTC</tt>.<br>
: The original revision id was <tt>591051284</tt>.<br>
: The original revision id was <tt>597691574</tt>.<br>
: The revision comment was: <tt></tt><br>
: The revision comment was: <tt>removed tel links</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">//84edo// divides the [[octave]] into 84 equal parts of size 14.286 [[cent]]s each and it is the highest edo where the size of 3 has a common factor with its cardinality. It makes for an excellent orwell tuning and also a good one for compton, and the 84e val, &lt;[[tel:84 133 195 236|84 133 195 236]] 290|, is almost identical to the 11-limit POTE tuning for orwell. In the [[13-limit]] it is the [[optimal patent val]] for the rank five temperament tempering out 144/143.
<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">//84edo// divides the [[octave]] into 84 equal parts of size 14.286 [[cent]]s each and it is the highest edo where the size of 3 has a common factor with its cardinality. It makes for an excellent orwell tuning and also a good one for compton, and the 84e val, &lt;84 133 195 236 290|, is almost identical to the 11-limit POTE tuning for orwell. In the [[13-limit]] it is the [[optimal patent val]] for the rank five temperament tempering out 144/143.


[[5-limit]] commas: 78732/78125, [[tel:531441/524288|531441/524288]], [[tel:2109375/2097152|2109375/2097152]]
[[5-limit]] commas: 78732/78125, 531441/524288, 2109375/2097152


[[7-limit]] commas: 225/224, 1728/1715, 2430/2401, 6144/6125
[[7-limit]] commas: 225/224, 1728/1715, 2430/2401, 6144/6125
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//&lt;span style="background-color: #f9f9f9; font-family: sans-serif; font-size: 14px;"&gt;**Two6**&lt;/span&gt;//&lt;span style="background-color: #f9f9f9; font-family: sans-serif; font-size: 14px;"&gt; by John Cage, 1992, for violin and piano. &lt;/span&gt;[[@http://youtu.be/XkX37zH6AbU|Haar &amp; Snijders]] recording (YouTube).</pre></div>
//&lt;span style="background-color: #f9f9f9; font-family: sans-serif; font-size: 14px;"&gt;**Two6**&lt;/span&gt;//&lt;span style="background-color: #f9f9f9; font-family: sans-serif; font-size: 14px;"&gt; by John Cage, 1992, for violin and piano. &lt;/span&gt;[[@http://youtu.be/XkX37zH6AbU|Haar &amp; Snijders]] recording (YouTube).</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;84edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;em&gt;84edo&lt;/em&gt; divides the &lt;a class="wiki_link" href="/octave"&gt;octave&lt;/a&gt; into 84 equal parts of size 14.286 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s each and it is the highest edo where the size of 3 has a common factor with its cardinality. It makes for an excellent orwell tuning and also a good one for compton, and the 84e val, &amp;lt;&lt;a class="wiki_link" href="http://tel.wikispaces.com/84%20133%20195%20236"&gt;84 133 195 236&lt;/a&gt; 290|, is almost identical to the 11-limit POTE tuning for orwell. In the &lt;a class="wiki_link" href="/13-limit"&gt;13-limit&lt;/a&gt; it is the &lt;a class="wiki_link" href="/optimal%20patent%20val"&gt;optimal patent val&lt;/a&gt; for the rank five temperament tempering out 144/143.&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;84edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;em&gt;84edo&lt;/em&gt; divides the &lt;a class="wiki_link" href="/octave"&gt;octave&lt;/a&gt; into 84 equal parts of size 14.286 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s each and it is the highest edo where the size of 3 has a common factor with its cardinality. It makes for an excellent orwell tuning and also a good one for compton, and the 84e val, &amp;lt;84 133 195 236 290|, is almost identical to the 11-limit POTE tuning for orwell. In the &lt;a class="wiki_link" href="/13-limit"&gt;13-limit&lt;/a&gt; it is the &lt;a class="wiki_link" href="/optimal%20patent%20val"&gt;optimal patent val&lt;/a&gt; for the rank five temperament tempering out 144/143.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/5-limit"&gt;5-limit&lt;/a&gt; commas: 78732/78125, [[tel:531441/524288|531441/524288]], [[tel:2109375/2097152|2109375/2097152]]&lt;br /&gt;
&lt;a class="wiki_link" href="/5-limit"&gt;5-limit&lt;/a&gt; commas: 78732/78125, 531441/524288, 2109375/2097152&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/7-limit"&gt;7-limit&lt;/a&gt; commas: 225/224, 1728/1715, 2430/2401, 6144/6125&lt;br /&gt;
&lt;a class="wiki_link" href="/7-limit"&gt;7-limit&lt;/a&gt; commas: 225/224, 1728/1715, 2430/2401, 6144/6125&lt;br /&gt;

Revision as of 18:13, 1 November 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 2016-11-01 18:13:58 UTC.
The original revision id was 597691574.
The revision comment was: removed tel links

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

Original Wikitext content:

//84edo// divides the [[octave]] into 84 equal parts of size 14.286 [[cent]]s each and it is the highest edo where the size of 3 has a common factor with its cardinality. It makes for an excellent orwell tuning and also a good one for compton, and the 84e val, <84 133 195 236 290|, is almost identical to the 11-limit POTE tuning for orwell. In the [[13-limit]] it is the [[optimal patent val]] for the rank five temperament tempering out 144/143.

[[5-limit]] commas: 78732/78125, 531441/524288, 2109375/2097152

[[7-limit]] commas: 225/224, 1728/1715, 2430/2401, 6144/6125

[[11-limit]] commas: 441/440, 1344/1331, 1375/1372
84e: 99/98, 121/120, 176/175, 385/384, 540/539, 5632/5625

[[13-limit]] commas: 144/143, 351/350, 364/363, 625/625
84e: 275/273, 640/637, 351/350, 352/351, 625/624, 1001/1000

==Music== 

//<span style="background-color: #f9f9f9; font-family: sans-serif; font-size: 14px;">**Ten**</span>//<span style="background-color: #f9f9f9; font-family: sans-serif; font-size: 14px;"> by John Cage, 1991, for chamber ensemble. [[@http://youtu.be/PE_2Ds_6qGk|Ives Ensemble]] </span>recording (YouTube).
//<span style="background-color: #f9f9f9; font-family: sans-serif; font-size: 14px;">**Two4**</span>//<span style="background-color: #f9f9f9; font-family: sans-serif; font-size: 14px;"> by John Cage, 1991, for violin and piano or shō. [[@http://youtu.be/sLOrpd5onCs|Harr & Miyata]] recording (YouTube).</span>
//<span style="background-color: #f9f9f9; font-family: sans-serif; font-size: 14px;">**Two5**</span>//<span style="background-color: #f9f9f9; font-family: sans-serif; font-size: 14px;"> by John Cage, 1991, for tenor trombone and piano. [[@http://youtu.be/YOtQZIqfY1w|Fulkerson & Denyer]] recording (YouTube).</span>
//<span style="background-color: #f9f9f9; font-family: sans-serif; font-size: 14px;">**Two6**</span>//<span style="background-color: #f9f9f9; font-family: sans-serif; font-size: 14px;"> by John Cage, 1992, for violin and piano. </span>[[@http://youtu.be/XkX37zH6AbU|Haar & Snijders]] recording (YouTube).

Original HTML content:

<html><head><title>84edo</title></head><body><em>84edo</em> divides the <a class="wiki_link" href="/octave">octave</a> into 84 equal parts of size 14.286 <a class="wiki_link" href="/cent">cent</a>s each and it is the highest edo where the size of 3 has a common factor with its cardinality. It makes for an excellent orwell tuning and also a good one for compton, and the 84e val, &lt;84 133 195 236 290|, is almost identical to the 11-limit POTE tuning for orwell. In the <a class="wiki_link" href="/13-limit">13-limit</a> it is the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for the rank five temperament tempering out 144/143.<br />
<br />
<a class="wiki_link" href="/5-limit">5-limit</a> commas: 78732/78125, 531441/524288, 2109375/2097152<br />
<br />
<a class="wiki_link" href="/7-limit">7-limit</a> commas: 225/224, 1728/1715, 2430/2401, 6144/6125<br />
<br />
<a class="wiki_link" href="/11-limit">11-limit</a> commas: 441/440, 1344/1331, 1375/1372<br />
84e: 99/98, 121/120, 176/175, 385/384, 540/539, 5632/5625<br />
<br />
<a class="wiki_link" href="/13-limit">13-limit</a> commas: 144/143, 351/350, 364/363, 625/625<br />
84e: 275/273, 640/637, 351/350, 352/351, 625/624, 1001/1000<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Music"></a><!-- ws:end:WikiTextHeadingRule:0 -->Music</h2>
 <br />
<em><span style="background-color: #f9f9f9; font-family: sans-serif; font-size: 14px;"><strong>Ten</strong></span></em><span style="background-color: #f9f9f9; font-family: sans-serif; font-size: 14px;"> by John Cage, 1991, for chamber ensemble. <a class="wiki_link_ext" href="http://youtu.be/PE_2Ds_6qGk" rel="nofollow" target="_blank">Ives Ensemble</a> </span>recording (YouTube).<br />
<em><span style="background-color: #f9f9f9; font-family: sans-serif; font-size: 14px;"><strong>Two4</strong></span></em><span style="background-color: #f9f9f9; font-family: sans-serif; font-size: 14px;"> by John Cage, 1991, for violin and piano or shō. <a class="wiki_link_ext" href="http://youtu.be/sLOrpd5onCs" rel="nofollow" target="_blank">Harr &amp; Miyata</a> recording (YouTube).</span><br />
<em><span style="background-color: #f9f9f9; font-family: sans-serif; font-size: 14px;"><strong>Two5</strong></span></em><span style="background-color: #f9f9f9; font-family: sans-serif; font-size: 14px;"> by John Cage, 1991, for tenor trombone and piano. <a class="wiki_link_ext" href="http://youtu.be/YOtQZIqfY1w" rel="nofollow" target="_blank">Fulkerson &amp; Denyer</a> recording (YouTube).</span><br />
<em><span style="background-color: #f9f9f9; font-family: sans-serif; font-size: 14px;"><strong>Two6</strong></span></em><span style="background-color: #f9f9f9; font-family: sans-serif; font-size: 14px;"> by John Cage, 1992, for violin and piano. </span><a class="wiki_link_ext" href="http://youtu.be/XkX37zH6AbU" rel="nofollow" target="_blank">Haar &amp; Snijders</a> recording (YouTube).</body></html>