20edo: Difference between revisions
Wikispaces>JosephRuhf **Imported revision 601337590 - Original comment: ** |
Wikispaces>JosephRuhf **Imported revision 601337786 - 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>2016-12-04 12: | : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-12-04 12:30:57 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>601337786</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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|| 5 2 2 5 2 2 2 || [[score7]] ([[2L 5s|mavila, anti-diatonic]]) || | || 5 2 2 5 2 2 2 || [[score7]] ([[2L 5s|mavila, anti-diatonic]]) || | ||
==Commas== | ==Commas== | ||
20 EDO [[tempering out|tempers out]] the following [[comma]]s. (Note: This assumes the [[val]] < 20 32 46 56 69 74/1 |.) | 20 EDO [[tempering out|tempers out]] the following [[comma]]s. (Note: This assumes the [[val]] < [[tel:20 32 46 56 69 74|20 32 46 56 69 74]]/1 |.) | ||
||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 || | ||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 || | ||
||= 256/243 ||< | 8 -5 > ||> 90.22 ||= [[Limma]] ||= Pythagorean Minor 2nd ||= || | ||= 256/243 ||< | 8 -5 > ||> 90.22 ||= [[Limma]] ||= Pythagorean Minor 2nd ||= || | ||
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||= 225/224 ||< | -5 2 2 -1 > ||> 7.71 ||= Septimal Kleisma ||= Marvel Comma ||= || | ||= 225/224 ||< | -5 2 2 -1 > ||> 7.71 ||= Septimal Kleisma ||= Marvel Comma ||= || | ||
||= 16875/16807 ||< | 0 3 4 -5 > ||> 6.99 ||= Mirkwai ||= ||= || | ||= 16875/16807 ||< | 0 3 4 -5 > ||> 6.99 ||= Mirkwai ||= ||= || | ||
||= ||< | [[tel/11 -10 -10 10 | ||= ||< | [[tel/11 -10 -10 10/1 > ||> 5.57 ||= Linus ||= ||= || | ||
||= 2401/2400 ||< | -5 -1 -2 4 > ||> 0.72 ||= Breedsma ||= ||= || | ||= 2401/2400 ||< | -5 -1 -2 4 > ||> 0.72 ||= Breedsma ||= ||= || | ||
||= 121/120 ||< | -3 -1 -1 0 2 > ||> 14.37 ||= Biyatisma ||= ||= || | ||= 121/120 ||< | -3 -1 -1 0 2 > ||> 14.37 ||= Biyatisma ||= ||= || | ||
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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;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>20edo</title></head><body>20-tone equal temperament, or 20edo, divides the octave into exactly 20 equal steps of 60 <a class="wiki_link" href="/cent">cent</a>s each. It contains smaller <a class="wiki_link" href="/edo">edo</a>s <a class="wiki_link" href="/2edo">2</a>, <a class="wiki_link" href="/4edo">4</a>, <a class="wiki_link" href="/5edo">5</a>, and <a class="wiki_link" href="/10edo">10</a> and is part of the 5n Family of equal divisions of the octave. 20 edo fairly approximates the harmonics 7 (from 5 edo), 11, 13 &amp; 15 (from 10 edo), 19 &amp; 27 (from 4 edo), 29 and 31; as well as the other harmonics more loosely (though to some people, still functionally) approximated. Thus, 20-EDO does a reasonably convincing approximation of harmonics 4:7:11:13:15.<br /> | <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>20edo</title></head><body>20-tone equal temperament, or 20edo, divides the octave into exactly 20 equal steps of 60 <a class="wiki_link" href="/cent">cent</a>s each. It contains smaller <a class="wiki_link" href="/edo">edo</a>s <a class="wiki_link" href="/2edo">2</a>, <a class="wiki_link" href="/4edo">4</a>, <a class="wiki_link" href="/5edo">5</a>, and <a class="wiki_link" href="/10edo">10</a> and is part of the 5n Family of equal divisions of the octave. 20 edo fairly approximates the harmonics 7 (from 5 edo), 11, 13 &amp; 15 (from 10 edo), 19 &amp; 27 (from 4 edo), 29 and 31; as well as the other harmonics more loosely (though to some people, still functionally) approximated. Thus, 20-EDO does a reasonably convincing approximation of harmonics 4:7:11:13:15.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextTocRule: | <!-- ws:start:WikiTextTocRule:12:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:12 --><!-- ws:start:WikiTextTocRule:13: --><a href="#Compositions">Compositions</a><!-- ws:end:WikiTextTocRule:13 --><!-- ws:start:WikiTextTocRule:14: --><!-- ws:end:WikiTextTocRule:14 --><!-- ws:start:WikiTextTocRule:15: --> | <a href="#Properties">Properties</a><!-- ws:end:WikiTextTocRule:15 --><!-- ws:start:WikiTextTocRule:16: --><!-- ws:end:WikiTextTocRule:16 --><!-- ws:start:WikiTextTocRule:17: --><!-- ws:end:WikiTextTocRule:17 --><!-- ws:start:WikiTextTocRule:18: --><!-- ws:end:WikiTextTocRule:18 --><!-- ws:start:WikiTextTocRule:19: --> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:19 --><hr /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Compositions"></a><!-- ws:end:WikiTextHeadingRule:0 -->Compositions</h1> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Compositions"></a><!-- ws:end:WikiTextHeadingRule:0 -->Compositions</h1> | ||
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<!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="Properties-Commas"></a><!-- ws:end:WikiTextHeadingRule:10 -->Commas</h2> | <!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="Properties-Commas"></a><!-- ws:end:WikiTextHeadingRule:10 -->Commas</h2> | ||
20 EDO <a class="wiki_link" href="/tempering%20out">tempers out</a> the following <a class="wiki_link" href="/comma">comma</a>s. (Note: This assumes the <a class="wiki_link" href="/val">val</a> &lt; 20 32 46 56 69 74/1 |.)<br /> | 20 EDO <a class="wiki_link" href="/tempering%20out">tempers out</a> the following <a class="wiki_link" href="/comma">comma</a>s. (Note: This assumes the <a class="wiki_link" href="/val">val</a> &lt; <a class="wiki_link" href="http://tel.wikispaces.com/20%2032%2046%2056%2069%2074">20 32 46 56 69 74</a>/1 |.)<br /> | ||
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</td> | </td> | ||
<td style="text-align: center;">Mirkwai<br /> | <td style="text-align: center;">Mirkwai<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
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</table> | </table> | ||
< | ||= ||&lt; | [[tel/11 -10 -10 10/1 &gt; ||&gt; 5.57 ||= Linus ||= ||= ||||= 2401/2400 ||&lt; | -5 -1 -2 4 &gt; ||&gt; 0.72 ||= Breedsma ||= ||= ||||= 121/120 ||&lt; | -3 -1 -1 0 2 &gt; ||&gt; 14.37 ||= Biyatisma ||= ||= ||||= 91/90 ||&lt; | -1 -2 -1 1 0 1 &gt; ||&gt; 19.13 ||= Superleap ||= ||= ||||= 676/675 ||&lt; | 2 -3 -2 0 0 2 &gt; ||&gt; 2.56 ||= Parizeksma ||= ||= ||=Books= <!-- ws:start:WikiTextRemoteImageRule:705:&lt;a href=&quot;http://www.ronsword.com/&quot; target=&quot;_blank&quot; rel=&quot;nofollow&quot;&gt;&lt;img src=&quot;http://ronsword.com/images/20_tet_Coversm.jpg&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 114px; width: 82px;&quot; /&gt;&lt;/a&gt; --><a href="http://www.ronsword.com/" target="_blank" rel="nofollow"><img src="http://ronsword.com/images/20_tet_Coversm.jpg" alt="external image 20_tet_Coversm.jpg" title="external image 20_tet_Coversm.jpg" style="height: 114px; width: 82px;" /></a><!-- ws:end:WikiTextRemoteImageRule:705 --><a class="wiki_link_ext" href="http://www.ronsword.com/" rel="nofollow" target="_blank">&quot;Icosaphonic Scales for Guitar&quot; - Theory / Scale book with above modes and more</a> by <a class="wiki_link" href="/Ron%20Sword">Ron Sword</a></body></html></pre></div> | ||
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