18edo: Difference between revisions

Revision as of 22:13, 3 May 2010

IMPORTED REVISION FROM WIKISPACES

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

This revision was by author igliashon and made on 2010-05-03 22:13:17 UTC.

The original revision id was 139204613.

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:

=18 Equal Divisions of the Octave= 
AKA The Third-Tone System
== == 
===**Basic Properties**=== 
<span style="font-size: 14px; line-height: 21px;">**Representations of Just Intervals**</span>
|| Degree || Cents || Nearest Ratio || Error (cents) ||
|| 0 || 0 || 1/1 || 0 ||
|| 1 || 66.667 || 27/26 || +1.329 ||
|| 2 || 133.333 || 27/25 || +0.096 ||
|| 3 || 200 || 9/8 || -3.910 ||
|| 4 || 266.667 || 7/6 || -0.204 ||
|| 5 || 333.333 || 17/14 or 40/33 || -2.796 +0.293 ||
|| 6 || 400 || 5/4 or 44/35 || +13.686 +3.822 ||
|| 7 || 466.667 || 21/16 || -4.114 ||
|| 8 || 533.333 || 15/11 || -3.617 ||
|| 9 || 600 || 17/12 or 24/17 || -3.000 +3.000 ||
|| 10 || 666.667 || 22/15 || +3.617 ||
|| 11 || 733.333 || 32/21 || +4.114 ||
|| 12 || 800 || 8/5 or 35/22 || -13.686 -3.8222 ||
|| 13 || 866.667 || 28/17 or 33/20 || +2.796 -0.293 ||
|| 14 || 933.333 || 12/7 || +0.204 ||
|| 15 || 1000 || 16/9 || +3.910 ||
|| 16 || 1066.667 || 50/27 || -0.096 ||
|| 17 || 1133.333 || 52/27 || -1.329 ||
|| 18 || 1200 || 2/1 || 0 ||
18-EDO does not approximate the 3rd Harmonic at all, unless a 33.333¢-error is considered acceptable. This makes it unsuitable for rendering common-practice music. However, it does offer excellent approximations of 27/25, 9/8, 7/6, 17/14, 21/16, and 15/11 (and their respective reciprocal intervals), so it is still capable of playing consonant music; however, in order to access these consonances, one must take a considerably "non-common-practice" approach.

<span style="font-size: 14px; line-height: 21px;">**Relationship to Other EDOs** </span>
18-EDO, aka the "third-tone" system, is related to 12-tET by the whole-tone scale (which is 6-EDO), since 18=6*3 and 12=6*2; hence a 12-tET "whole tone" is divided into 3 equal parts in 18-EDO. Since 18=9*2, 18-EDO contains two sets of 9-EDO, offset from each other by a third-tone. 18-EDO is related to 13-EDO, 21-EDO, 23-EDO, and 28-EDO in that all are "Father" temperaments (they temper out 16/15--the difference between a major third and perfect fourth). It is related to 11-EDO, 15-EDO, 25-EDO, and 29-EDO in that they are all "Amity" temperaments ("Amity" is derived from the acronym of "Acute Minor Thirds", meaning a minor third sharper than 6/5 but still flatter than a neutral third).

==Useful Moment-of-Symmetry Scales== 
===Pentatonics:=== 
===Hexatonics:=== 
===Heptatonics:=== 
===Octatonics:=== 
===Enneatonics:=== 
===Decatonics:===

Original HTML content:

<html><head><title>18edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x18 Equal Divisions of the Octave"></a><!-- ws:end:WikiTextHeadingRule:0 -->18 Equal Divisions of the Octave</h1>
 AKA The Third-Tone System<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><!-- ws:end:WikiTextHeadingRule:2 --> </h2>
 <!-- ws:start:WikiTextHeadingRule:4:&lt;h3&gt; --><h3 id="toc2"><a name="x18 Equal Divisions of the Octave--Basic Properties"></a><!-- ws:end:WikiTextHeadingRule:4 --><strong>Basic Properties</strong></h3>
 <span style="font-size: 14px; line-height: 21px;"><strong>Representations of Just Intervals</strong></span><br />


<table class="wiki_table">
    <tr>
        <td>Degree<br />
</td>
        <td>Cents<br />
</td>
        <td>Nearest Ratio<br />
</td>
        <td>Error (cents)<br />
</td>
    </tr>
    <tr>
        <td>0<br />
</td>
        <td>0<br />
</td>
        <td>1/1<br />
</td>
        <td>0<br />
</td>
    </tr>
    <tr>
        <td>1<br />
</td>
        <td>66.667<br />
</td>
        <td>27/26<br />
</td>
        <td>+1.329<br />
</td>
    </tr>
    <tr>
        <td>2<br />
</td>
        <td>133.333<br />
</td>
        <td>27/25<br />
</td>
        <td>+0.096<br />
</td>
    </tr>
    <tr>
        <td>3<br />
</td>
        <td>200<br />
</td>
        <td>9/8<br />
</td>
        <td>-3.910<br />
</td>
    </tr>
    <tr>
        <td>4<br />
</td>
        <td>266.667<br />
</td>
        <td>7/6<br />
</td>
        <td>-0.204<br />
</td>
    </tr>
    <tr>
        <td>5<br />
</td>
        <td>333.333<br />
</td>
        <td>17/14 or 40/33<br />
</td>
        <td>-2.796 +0.293<br />
</td>
    </tr>
    <tr>
        <td>6<br />
</td>
        <td>400<br />
</td>
        <td>5/4 or 44/35<br />
</td>
        <td>+13.686 +3.822<br />
</td>
    </tr>
    <tr>
        <td>7<br />
</td>
        <td>466.667<br />
</td>
        <td>21/16<br />
</td>
        <td>-4.114<br />
</td>
    </tr>
    <tr>
        <td>8<br />
</td>
        <td>533.333<br />
</td>
        <td>15/11<br />
</td>
        <td>-3.617<br />
</td>
    </tr>
    <tr>
        <td>9<br />
</td>
        <td>600<br />
</td>
        <td>17/12 or 24/17<br />
</td>
        <td>-3.000 +3.000<br />
</td>
    </tr>
    <tr>
        <td>10<br />
</td>
        <td>666.667<br />
</td>
        <td>22/15<br />
</td>
        <td>+3.617<br />
</td>
    </tr>
    <tr>
        <td>11<br />
</td>
        <td>733.333<br />
</td>
        <td>32/21<br />
</td>
        <td>+4.114<br />
</td>
    </tr>
    <tr>
        <td>12<br />
</td>
        <td>800<br />
</td>
        <td>8/5 or 35/22<br />
</td>
        <td>-13.686 -3.8222<br />
</td>
    </tr>
    <tr>
        <td>13<br />
</td>
        <td>866.667<br />
</td>
        <td>28/17 or 33/20<br />
</td>
        <td>+2.796 -0.293<br />
</td>
    </tr>
    <tr>
        <td>14<br />
</td>
        <td>933.333<br />
</td>
        <td>12/7<br />
</td>
        <td>+0.204<br />
</td>
    </tr>
    <tr>
        <td>15<br />
</td>
        <td>1000<br />
</td>
        <td>16/9<br />
</td>
        <td>+3.910<br />
</td>
    </tr>
    <tr>
        <td>16<br />
</td>
        <td>1066.667<br />
</td>
        <td>50/27<br />
</td>
        <td>-0.096<br />
</td>
    </tr>
    <tr>
        <td>17<br />
</td>
        <td>1133.333<br />
</td>
        <td>52/27<br />
</td>
        <td>-1.329<br />
</td>
    </tr>
    <tr>
        <td>18<br />
</td>
        <td>1200<br />
</td>
        <td>2/1<br />
</td>
        <td>0<br />
</td>
    </tr>
</table>

18-EDO does not approximate the 3rd Harmonic at all, unless a 33.333¢-error is considered acceptable. This makes it unsuitable for rendering common-practice music. However, it does offer excellent approximations of 27/25, 9/8, 7/6, 17/14, 21/16, and 15/11 (and their respective reciprocal intervals), so it is still capable of playing consonant music; however, in order to access these consonances, one must take a considerably &quot;non-common-practice&quot; approach.<br />
<br />
<span style="font-size: 14px; line-height: 21px;"><strong>Relationship to Other EDOs</strong> </span><br />
18-EDO, aka the &quot;third-tone&quot; system, is related to 12-tET by the whole-tone scale (which is 6-EDO), since 18=6*3 and 12=6*2; hence a 12-tET &quot;whole tone&quot; is divided into 3 equal parts in 18-EDO. Since 18=9*2, 18-EDO contains two sets of 9-EDO, offset from each other by a third-tone. 18-EDO is related to 13-EDO, 21-EDO, 23-EDO, and 28-EDO in that all are &quot;Father&quot; temperaments (they temper out 16/15--the difference between a major third and perfect fourth). It is related to 11-EDO, 15-EDO, 25-EDO, and 29-EDO in that they are all &quot;Amity&quot; temperaments (&quot;Amity&quot; is derived from the acronym of &quot;Acute Minor Thirds&quot;, meaning a minor third sharper than 6/5 but still flatter than a neutral third).<br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="x18 Equal Divisions of the Octave-Useful Moment-of-Symmetry Scales"></a><!-- ws:end:WikiTextHeadingRule:6 -->Useful Moment-of-Symmetry Scales</h2>
 <!-- ws:start:WikiTextHeadingRule:8:&lt;h3&gt; --><h3 id="toc4"><a name="x18 Equal Divisions of the Octave-Useful Moment-of-Symmetry Scales-Pentatonics:"></a><!-- ws:end:WikiTextHeadingRule:8 -->Pentatonics:</h3>
 <!-- ws:start:WikiTextHeadingRule:10:&lt;h3&gt; --><h3 id="toc5"><a name="x18 Equal Divisions of the Octave-Useful Moment-of-Symmetry Scales-Hexatonics:"></a><!-- ws:end:WikiTextHeadingRule:10 -->Hexatonics:</h3>
 <!-- ws:start:WikiTextHeadingRule:12:&lt;h3&gt; --><h3 id="toc6"><a name="x18 Equal Divisions of the Octave-Useful Moment-of-Symmetry Scales-Heptatonics:"></a><!-- ws:end:WikiTextHeadingRule:12 -->Heptatonics:</h3>
 <!-- ws:start:WikiTextHeadingRule:14:&lt;h3&gt; --><h3 id="toc7"><a name="x18 Equal Divisions of the Octave-Useful Moment-of-Symmetry Scales-Octatonics:"></a><!-- ws:end:WikiTextHeadingRule:14 -->Octatonics:</h3>
 <!-- ws:start:WikiTextHeadingRule:16:&lt;h3&gt; --><h3 id="toc8"><a name="x18 Equal Divisions of the Octave-Useful Moment-of-Symmetry Scales-Enneatonics:"></a><!-- ws:end:WikiTextHeadingRule:16 -->Enneatonics:</h3>
 <!-- ws:start:WikiTextHeadingRule:18:&lt;h3&gt; --><h3 id="toc9"><a name="x18 Equal Divisions of the Octave-Useful Moment-of-Symmetry Scales-Decatonics:"></a><!-- ws:end:WikiTextHeadingRule:18 -->Decatonics:</h3>
</body></html>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:igliashon|igliashon]] and made on <tt>2010-05-03 22:08:56 UTC</tt>.<br>
+: This revision was by author [[User:igliashon|igliashon]] and made on <tt>2010-05-03 22:13:17 UTC</tt>.<br>
-: The original revision id was <tt>139203501</tt>.<br>
+: The original revision id was <tt>139204613</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>
 <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">=18 Equal Divisions of the Octave=
+AKA The Third-Tone System
-==Basis==
+== ==
-=== ===
+===**Basic Properties**===
-===**Representations of Just Intervals**===
+&lt;span style="font-size: 14px; line-height: 21px;"&gt;**Representations of Just Intervals**&lt;/span&gt;
 || Degree || Cents || Nearest Ratio || Error (cents) ||
 || 0 || 0 || 1/1 || 0 ||
@@ Line 31: / Line 31: @@
 || 17 || 1133.333 || 52/27 || -1.329 ||
 || 18 || 1200 || 2/1 || 0 ||
--EDO does not approximate the 3rd Harmonic at all, unless a 33.333¢-error is considered acceptable. This makes it unsuitable for rendering common-practice music. However, it does
+-EDO does not approximate the 3rd Harmonic at all, unless a 33.333¢-error is considered acceptable. This makes it unsuitable for rendering common-practice music. However, it does offer excellent approximations of 27/25, 9/8, 7/6, 17/14, 21/16, and 15/11 (and their respective reciprocal intervals), so it is still capable of playing consonant music; however, in order to access these consonances, one must take a considerably "non-common-practice" approach.
-offer excellent approximations of 27/25, 9/8, 7/6, 17/14, 21/16, and 15/11 (and their respective reciprocal intervals), so it is still capable of playing consonant music; however, in order to access these consonances, one must take a considerably "non-common-practice" approach.
 &lt;span style="font-size: 14px; line-height: 21px;"&gt;**Relationship to Other EDOs** &lt;/span&gt;
--EDO, aka the "third-tone" system, is related to 12-tET by the whole-tone scale (which is 6-EDO), since 18=6*3 and 12=6*2; hence a 12-tET "whole tone" is divided into 3 equal parts in 18-EDO. Since 18=9*2, 18-EDO contains two sets of 9-EDO, offset from each other by a third-tone. 18-EDO is related to 13-EDO, 21-EDO, 23-EDO, and 28-EDO in that all are "Father" temperaments (they temper out 16/15--the difference between a major third and perfect fourth). It is related to 11-EDO, 15-EDO, 25-EDO, and 29-EDO in that they are all "Amity" temperaments ("Amity" is derived from the acronym of "Acute Minor Thirds", meaning a minor third sharper than 6/5 but still flatter than a neutral third).</pre></div>
+-EDO, aka the "third-tone" system, is related to 12-tET by the whole-tone scale (which is 6-EDO), since 18=6*3 and 12=6*2; hence a 12-tET "whole tone" is divided into 3 equal parts in 18-EDO. Since 18=9*2, 18-EDO contains two sets of 9-EDO, offset from each other by a third-tone. 18-EDO is related to 13-EDO, 21-EDO, 23-EDO, and 28-EDO in that all are "Father" temperaments (they temper out 16/15--the difference between a major third and perfect fourth). It is related to 11-EDO, 15-EDO, 25-EDO, and 29-EDO in that they are all "Amity" temperaments ("Amity" is derived from the acronym of "Acute Minor Thirds", meaning a minor third sharper than 6/5 but still flatter than a neutral third).
+==Useful Moment-of-Symmetry Scales==
+===Pentatonics:===
+===Hexatonics:===
+===Heptatonics:===
+===Octatonics:===
+===Enneatonics:===
+===Decatonics:=== </pre></div>
 <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;18edo&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="x18 Equal Divisions of the Octave"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;18 Equal Divisions of the Octave&lt;/h1&gt;
-  &lt;br /&gt;
+  AKA The Third-Tone System&lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x18 Equal Divisions of the Octave-Basis"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Basis&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt; &lt;/h2&gt;
-  &lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc2"&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt; &lt;/h3&gt;
+  &lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc2"&gt;&lt;a name="x18 Equal Divisions of the Octave--Basic Properties"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;&lt;strong&gt;Basic Properties&lt;/strong&gt;&lt;/h3&gt;
- &lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc3"&gt;&lt;a name="x18 Equal Divisions of the Octave-Basis-Representations of Just Intervals"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;&lt;strong&gt;Representations of Just Intervals&lt;/strong&gt;&lt;/h3&gt;
+ &lt;span style="font-size: 14px; line-height: 21px;"&gt;&lt;strong&gt;Representations of Just Intervals&lt;/strong&gt;&lt;/span&gt;&lt;br /&gt;
 &lt;table class="wiki_table"&gt;
@@ Line 247: / Line 254: @@
 &lt;/table&gt;
--EDO does not approximate the 3rd Harmonic at all, unless a 33.333¢-error is considered acceptable. This makes it unsuitable for rendering common-practice music. However, it does &lt;br /&gt;
+-EDO does not approximate the 3rd Harmonic at all, unless a 33.333¢-error is considered acceptable. This makes it unsuitable for rendering common-practice music. However, it does offer excellent approximations of 27/25, 9/8, 7/6, 17/14, 21/16, and 15/11 (and their respective reciprocal intervals), so it is still capable of playing consonant music; however, in order to access these consonances, one must take a considerably &amp;quot;non-common-practice&amp;quot; approach.&lt;br /&gt;
-offer excellent approximations of 27/25, 9/8, 7/6, 17/14, 21/16, and 15/11 (and their respective reciprocal intervals), so it is still capable of playing consonant music; however, in order to access these consonances, one must take a considerably &amp;quot;non-common-practice&amp;quot; approach.&lt;br /&gt;
 &lt;br /&gt;
 &lt;span style="font-size: 14px; line-height: 21px;"&gt;&lt;strong&gt;Relationship to Other EDOs&lt;/strong&gt; &lt;/span&gt;&lt;br /&gt;
--EDO, aka the &amp;quot;third-tone&amp;quot; system, is related to 12-tET by the whole-tone scale (which is 6-EDO), since 18=6*3 and 12=6*2; hence a 12-tET &amp;quot;whole tone&amp;quot; is divided into 3 equal parts in 18-EDO. Since 18=9*2, 18-EDO contains two sets of 9-EDO, offset from each other by a third-tone. 18-EDO is related to 13-EDO, 21-EDO, 23-EDO, and 28-EDO in that all are &amp;quot;Father&amp;quot; temperaments (they temper out 16/15--the difference between a major third and perfect fourth). It is related to 11-EDO, 15-EDO, 25-EDO, and 29-EDO in that they are all &amp;quot;Amity&amp;quot; temperaments (&amp;quot;Amity&amp;quot; is derived from the acronym of &amp;quot;Acute Minor Thirds&amp;quot;, meaning a minor third sharper than 6/5 but still flatter than a neutral third).&lt;/body&gt;&lt;/html&gt;</pre></div>
+-EDO, aka the &amp;quot;third-tone&amp;quot; system, is related to 12-tET by the whole-tone scale (which is 6-EDO), since 18=6*3 and 12=6*2; hence a 12-tET &amp;quot;whole tone&amp;quot; is divided into 3 equal parts in 18-EDO. Since 18=9*2, 18-EDO contains two sets of 9-EDO, offset from each other by a third-tone. 18-EDO is related to 13-EDO, 21-EDO, 23-EDO, and 28-EDO in that all are &amp;quot;Father&amp;quot; temperaments (they temper out 16/15--the difference between a major third and perfect fourth). It is related to 11-EDO, 15-EDO, 25-EDO, and 29-EDO in that they are all &amp;quot;Amity&amp;quot; temperaments (&amp;quot;Amity&amp;quot; is derived from the acronym of &amp;quot;Acute Minor Thirds&amp;quot;, meaning a minor third sharper than 6/5 but still flatter than a neutral third).&lt;br /&gt;
+&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="x18 Equal Divisions of the Octave-Useful Moment-of-Symmetry Scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Useful Moment-of-Symmetry Scales&lt;/h2&gt;
+ &lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc4"&gt;&lt;a name="x18 Equal Divisions of the Octave-Useful Moment-of-Symmetry Scales-Pentatonics:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Pentatonics:&lt;/h3&gt;
+ &lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc5"&gt;&lt;a name="x18 Equal Divisions of the Octave-Useful Moment-of-Symmetry Scales-Hexatonics:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Hexatonics:&lt;/h3&gt;
+ &lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc6"&gt;&lt;a name="x18 Equal Divisions of the Octave-Useful Moment-of-Symmetry Scales-Heptatonics:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Heptatonics:&lt;/h3&gt;
+ &lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc7"&gt;&lt;a name="x18 Equal Divisions of the Octave-Useful Moment-of-Symmetry Scales-Octatonics:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Octatonics:&lt;/h3&gt;
+ &lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc8"&gt;&lt;a name="x18 Equal Divisions of the Octave-Useful Moment-of-Symmetry Scales-Enneatonics:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;Enneatonics:&lt;/h3&gt;
+ &lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc9"&gt;&lt;a name="x18 Equal Divisions of the Octave-Useful Moment-of-Symmetry Scales-Decatonics:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;Decatonics:&lt;/h3&gt;
+&lt;/body&gt;&lt;/html&gt;</pre></div>

18edo: Difference between revisions

Revision as of 22:13, 3 May 2010

IMPORTED REVISION FROM WIKISPACES

Original Wikitext content:

Original HTML content:

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