20edo: Difference between revisions
Wikispaces>JosephRuhf **Imported revision 601337814 - Original comment: ** |
Wikispaces>JosephRuhf **Imported revision 601339252 - 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 12:50:29 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>601339252</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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==Commas== | ==Commas== | ||
20 EDO [[tempering out|tempers out]] the following [[comma]]s. (Note: This assumes the [[val]] < | 20 EDO [[tempering out|tempers out]] the following [[comma]]s. (Note: This assumes the [[val]] < 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 ||= ||= || | ||
|| | || || | 11 -10 -10 10 > ||> 5.57 ||= Linus || || || | ||
||= 121/120 || | -3 -1 -1 0 2 > ||> 14.37 ||= Biyatisma || || || | |||
||= 91/90 || | -1 -2 -1 1 0 1 > ||> 19.13 ||= Superleap || || || | |||
||= 2401/2400 || | -5 -1 2 4 > ||> 0.72 ||= Breedsma || || || | |||
||= 676/675 || | 2 -3 -2 0 0 2 > ||> 2.56 ||= Parizeksma || || || | |||
||=Books= [[image:http://ronsword.com/images/20_tet_Coversm.jpg width="82" height="114" link="@http://www.ronsword.com/"]][[@http://www.ronsword.com/|"Icosaphonic Scales for Guitar" - Theory / Scale book with above modes and more]] by [[Ron Sword]]</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"><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 /> | ||
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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 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 /> | ||
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</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
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</td> | |||
<td>| 11 -10 -10 10 &gt;<br /> | |||
</td> | |||
<td style="text-align: right;">5.57<br /> | |||
</td> | |||
<td style="text-align: center;">Linus<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
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<td style="text-align: center;">121/120<br /> | |||
</td> | |||
<td>| -3 -1 -1 0 2 &gt;<br /> | |||
</td> | |||
<td style="text-align: right;">14.37<br /> | |||
</td> | |||
<td style="text-align: center;">Biyatisma<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">91/90<br /> | |||
</td> | |||
<td>| -1 -2 -1 1 0 1 &gt;<br /> | |||
</td> | |||
<td style="text-align: right;">19.13<br /> | |||
</td> | |||
<td style="text-align: center;">Superleap<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">2401/2400<br /> | |||
</td> | |||
<td>| -5 -1 2 4 &gt;<br /> | |||
</td> | |||
<td style="text-align: right;">0.72<br /> | |||
</td> | |||
<td style="text-align: center;">Breedsma<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">676/675<br /> | |||
</td> | |||
<td>| 2 -3 -2 0 0 2 &gt;<br /> | |||
</td> | |||
<td style="text-align: right;">2.56<br /> | |||
</td> | |||
<td style="text-align: center;">Parizeksma<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
</table> | </table> | ||
<br /> | |||
||=Books= <!-- ws:start:WikiTextRemoteImageRule:776:&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:776 --><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> | |||