13edo: Difference between revisions

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>2011-09-~~10 13~~:06:28 UTC</tt>.<br>

: This revision was by author [[User:xenjacob|xenjacob]] and made on <tt>2011-10-12 20:44:02 UTC</tt>.<br>

: The original revision id was <tt>~~252640040~~</tt>.<br>

: The original revision id was <tt>264211553</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>

Line 11:

=13 tone equal temperament / 13edo=

13edo refers to a tuning system which divides the octave (frequency ratio 2:1) into 13 equal parts. The steps are of similar size to those of 12edo (albeit squashed), while the intervals between a minor third & major sixth are xenharmonic (not similar to anything available in 12edo).

|| Degree || Cents ||= Approximate Ratios* || 6L1s Names || 5L3s Names ||

|| Degree || Cents ||= Approximate Ratios* || 6L1s Names || 5L3s Names || [[26edo]] names ||

|| 0 || 0 ||= 1/1 || C || C ||

|| 0 || 0 ||= 1/1 || C || C || C ||

|| 1 || 92.3077 ||= 22/21, 55/52, 117/110, 26/25 || C#/Db || C#/Db ||

|| 1 || 92.3077 ||= 22/21, 55/52, 117/110, 26/25 || C#/Db || C#/Db || Cx/Dbb ||

|| 2 || 184.6154 ||= 10/9, 9/8, 11/10 || D || D ||

|| 2 || 184.6154 ||= 10/9, 9/8, 11/10 || D || D || D ||

|| 3 || 276.9231 ||= 13/11, 7/6 || D#/Eb || D#/Eb ||

|| 3 || 276.9231 ||= 13/11, 7/6 || D#/Eb || D#/Eb || Dx/Ebb ||

|| 4 || 369.2308 ||= 5/4, 16/13, 11/9, 26/21 || E || E ||

|| 4 || 369.2308 ||= 5/4, 16/13, 11/9, 26/21 || E || E || E ||

|| 5 || 461.5385 ||= 13/10, 21/16 || E#/Fb || F ||

|| 5 || 461.5385 ||= 13/10, 21/16 || E#/Fb || F || Ex/Fb ||

|| 6 || 553.84 ||= 11/8, 18/13 || F || F#/Gb ||

|| 6 || 553.84 ||= 11/8, 18/13 || F || F#/Gb || F# ||

|| 7 || 646.15 ||= 16/11, 13/9 || F#/Gb || G ||

|| 7 || 646.15 ||= 16/11, 13/9 || F#/Gb || G || Gb ||

|| 8 || 738.46 ||= 20/13, 32/21 || G || G#/Hb ||

|| 8 || 738.46 ||= 20/13, 32/21 || G || G#/Hb || G# ||

|| 9 || 830.77 ||= 8/5, 13/8, 18/11, 21/13 || G#/Ab || H ||

|| 9 || 830.77 ||= 8/5, 13/8, 18/11, 21/13 || G#/Ab || H || Ab ||

|| 10 || 923.08 ||= 22/13, 12/7 || A || A ||

|| 10 || 923.08 ||= 22/13, 12/7 || A || A || A# ||

|| 11 || 1015.38 ||= 9/5, 16/9, 20/11 || A#/Bb || A#/Bb ||

|| 11 || 1015.38 ||= 9/5, 16/9, 20/11 || A#/Bb || A#/Bb || Bb ||

|| 12 || 1107.69 ||= 21/11, 25/13, 104/55 || B/Cb || B ||

|| 12 || 1107.69 ||= 21/11, 25/13, 104/55 || B/Cb || B || B#/Cbb ||

|| 13 || 1200 ||= 2/1 || C/B# || C ||

|| 13 || 1200 ||= 2/1 || C/B# || C || C ||

*based on treating 13-EDO as a 2.5.9.11.13.21 subgroup temperament; other approaches are possible.

Line 94:

</td>

<td>5L3s Names<br />

</td>

<td><a class="wiki_link" href="/26edo">26edo</a> names<br />

</td>

</tr>

Line 102:

Line 104:

</td>

</td>

</td>

Line 118:

Line 122:

</td>

</td>

</td>

</tr>

Line 126:

Line 132:

</td>

</td>

</td>

Line 142:

Line 150:

</td>

</td>

</td>

</tr>

Line 150:

Line 160:

</td>

</td>

</td>

Line 166:

Line 178:

</td>

</td>

</td>

</tr>

Line 178:

Line 192:

</td>

</td>

</td>

</tr>

Line 190:

Line 206:

</td>

</td>

</td>

</tr>

Line 202:

Line 220:

</td>

</td>

</td>

</tr>

Line 214:

Line 234:

</td>

</td>

</td>

</tr>

Line 226:

Line 248:

</td>

</td>

</td>

</tr>

Line 238:

Line 262:

</td>

</td>

</td>

</tr>

Line 250:

Line 276:

</td>

</td>

</td>

</tr>

Line 260:

Line 288:

</td>

</td>

</td>

Line 276:

Line 306:

Due to the prime character of the number 13, 13edo can form several xenharmonic <a class="wiki_link" href="/MOSScales">moment of symmetry scales</a>. The diagram below shows five &quot;families&quot; of MOS scales: those generated by making a chain of 2\13 (two degrees of 13edo), 3\13, 4\13, 5\13, &amp; 6\13, respectively.<br />

<br />

<img src="/file/view/13edo_horograms.jpg/104015789/13edo_horograms.jpg" alt="13edo_horograms.jpg" title="13edo_horograms.jpg" /><br />

<img src="/file/view/13edo_horograms.jpg/104015789/13edo_horograms.jpg" alt="13edo_horograms.jpg" title="13edo_horograms.jpg" /><br />

<div class="objectEmbed"><a href="/file/view/13edo%20horograms.pdf/104047129/13edo%20horograms.pdf" onclick="ws.common.trackFileLink('/file/view/13edo%20horograms.pdf/104047129/13edo%20horograms.pdf');"><img src="http://www.wikispaces.com/i/mime/32/application/pdf.png" height="32" width="32" alt="13edo horograms.pdf" /></a><div><a href="/file/view/13edo%20horograms.pdf/104047129/13edo%20horograms.pdf" onclick="ws.common.trackFileLink('/file/view/13edo%20horograms.pdf/104047129/13edo%20horograms.pdf');" class="filename" title="13edo horograms.pdf">13edo horograms.pdf</a><br /><ul><li><a href="/file/detail/13edo%20horograms.pdf">Details</a></li><li><a href="/file/view/13edo%20horograms.pdf/104047129/13edo%20horograms.pdf">Download</a></li><li style="color: #666">242 KB</li></ul></div></div><br />

<div class="objectEmbed"><a href="/file/view/13edo%20horograms.pdf/104047129/13edo%20horograms.pdf" onclick="ws.common.trackFileLink('/file/view/13edo%20horograms.pdf/104047129/13edo%20horograms.pdf');"><img src="http://www.wikispaces.com/i/mime/32/application/pdf.png" height="32" width="32" alt="13edo horograms.pdf" /></a><div><a href="/file/view/13edo%20horograms.pdf/104047129/13edo%20horograms.pdf" onclick="ws.common.trackFileLink('/file/view/13edo%20horograms.pdf/104047129/13edo%20horograms.pdf');" class="filename" title="13edo horograms.pdf">13edo horograms.pdf</a><br /><ul><li><a href="/file/detail/13edo%20horograms.pdf">Details</a></li><li><a href="/file/view/13edo%20horograms.pdf/104047129/13edo%20horograms.pdf">Download</a></li><li style="color: #666">242 KB</li></ul></div></div><br />

~diagram by Andrew Heathwaite, based on horograms pioneered by Erv Wilson<br />

<br />

Line 301:

Line 331:

<br />

To facilitate discussion of these scales, Igliashon has ascribed them names based on H.P. Lovecraft's &quot;Dream Cycle&quot; mythos. The 2\13-based heptatonic has been named &quot;archeotonic&quot; after the &quot;Old Ones&quot; that rule the Dreamlands, and the 5\13-based octatonic has been named &quot;oneirotonic&quot; after the Dreamlands themselves. Modes of the archeotonic are named after the individual Old Ones themselves; modes of the oneirotonic are named after cities in the Dreamlands. See the charts of modes of the two scales below, excerpted from Igliashon's forthcoming paper &quot;The Case for Thirteen&quot;:<br />

<img src="/file/view/Archeotonic.png/252639498/Archeotonic.png" alt="Archeotonic.png" title="Archeotonic.png" /><br />

<img src="/file/view/Archeotonic.png/252639498/Archeotonic.png" alt="Archeotonic.png" title="Archeotonic.png" /><br />

<img src="/file/view/Oneirotonic.png/252639860/Oneirotonic.png" alt="Oneirotonic.png" title="Oneirotonic.png" /><br />

<img src="/file/view/Oneirotonic.png/252639860/Oneirotonic.png" alt="Oneirotonic.png" title="Oneirotonic.png" /><br />

<h1 id="toc5"><a name="Commas"></a>Commas</h1>

13 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 val &lt; 13 21 30 36 45 48 |.)<br />

@@ 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>2011-09-10 13:06:28 UTC</tt>.<br>
+: This revision was by author [[User:xenjacob|xenjacob]] and made on <tt>2011-10-12 20:44:02 UTC</tt>.<br>
-: The original revision id was <tt>252640040</tt>.<br>
+: The original revision id was <tt>264211553</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>
@@ Line 11: / Line 11: @@
 =13 tone equal temperament / 13edo=
 edo refers to a tuning system which divides the octave (frequency ratio 2:1) into 13 equal parts. The steps are of similar size to those of 12edo (albeit squashed), while the intervals between a minor third &amp; major sixth are xenharmonic (not similar to anything available in 12edo).
-|| Degree || Cents ||= Approximate Ratios* || 6L1s Names || 5L3s Names ||
+|| Degree || Cents ||= Approximate Ratios* || 6L1s Names || 5L3s Names || [[26edo]] names ||
-|| 0 || 0 ||= 1/1 || C || C ||
+|| 0 || 0 ||= 1/1 || C || C || C ||
-|| 1 || 92.3077 ||= 22/21, 55/52, 117/110, 26/25 || C#/Db || C#/Db ||
+|| 1 || 92.3077 ||= 22/21, 55/52, 117/110, 26/25 || C#/Db || C#/Db || Cx/Dbb ||
-|| 2 || 184.6154 ||= 10/9, 9/8, 11/10 || D || D ||
+|| 2 || 184.6154 ||= 10/9, 9/8, 11/10 || D || D || D ||
-|| 3 || 276.9231 ||= 13/11, 7/6 || D#/Eb || D#/Eb ||
+|| 3 || 276.9231 ||= 13/11, 7/6 || D#/Eb || D#/Eb || Dx/Ebb ||
-|| 4 || 369.2308 ||= 5/4, 16/13, 11/9, 26/21 || E || E ||
+|| 4 || 369.2308 ||= 5/4, 16/13, 11/9, 26/21 || E || E || E ||
-|| 5 || 461.5385 ||= 13/10, 21/16 || E#/Fb || F ||
+|| 5 || 461.5385 ||= 13/10, 21/16 || E#/Fb || F || Ex/Fb ||
-|| 6 || 553.84 ||= 11/8, 18/13 || F || F#/Gb ||
+|| 6 || 553.84 ||= 11/8, 18/13 || F || F#/Gb || F# ||
-|| 7 || 646.15 ||= 16/11, 13/9 || F#/Gb || G ||
+|| 7 || 646.15 ||= 16/11, 13/9 || F#/Gb || G || Gb ||
-|| 8 || 738.46 ||= 20/13, 32/21 || G || G#/Hb ||
+|| 8 || 738.46 ||= 20/13, 32/21 || G || G#/Hb || G# ||
-|| 9 || 830.77 ||= 8/5, 13/8, 18/11, 21/13 || G#/Ab || H ||
+|| 9 || 830.77 ||= 8/5, 13/8, 18/11, 21/13 || G#/Ab || H || Ab ||
-|| 10 || 923.08 ||= 22/13, 12/7 || A || A ||
+|| 10 || 923.08 ||= 22/13, 12/7 || A || A || A# ||
-|| 11 || 1015.38 ||= 9/5, 16/9, 20/11 || A#/Bb || A#/Bb ||
+|| 11 || 1015.38 ||= 9/5, 16/9, 20/11 || A#/Bb || A#/Bb || Bb ||
-|| 12 || 1107.69 ||= 21/11, 25/13, 104/55 || B/Cb || B ||
+|| 12 || 1107.69 ||= 21/11, 25/13, 104/55 || B/Cb || B || B#/Cbb ||
-|| 13 || 1200 ||= 2/1 || C/B# || C ||
+|| 13 || 1200 ||= 2/1 || C/B# || C || C ||
 *based on treating 13-EDO as a 2.5.9.11.13.21 subgroup temperament; other approaches are possible.
@@ Line 94: / Line 94: @@
 &lt;/td&gt;
          &lt;td&gt;5L3s Names&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;a class="wiki_link" href="/26edo"&gt;26edo&lt;/a&gt; names&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 102: / Line 104: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;1/1&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;C&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;C&lt;br /&gt;
@@ Line 118: / Line 122: @@
 &lt;/td&gt;
          &lt;td&gt;C#/Db&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;Cx/Dbb&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 126: / Line 132: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;10/9, 9/8, 11/10&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;D&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;D&lt;br /&gt;
@@ Line 142: / Line 150: @@
 &lt;/td&gt;
          &lt;td&gt;D#/Eb&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;Dx/Ebb&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 150: / Line 160: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;5/4, 16/13, 11/9, 26/21&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;E&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;E&lt;br /&gt;
@@ Line 166: / Line 178: @@
 &lt;/td&gt;
          &lt;td&gt;F&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;Ex/Fb&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 178: / Line 192: @@
 &lt;/td&gt;
          &lt;td&gt;F#/Gb&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;F#&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 190: / Line 206: @@
 &lt;/td&gt;
          &lt;td&gt;G&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;Gb&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 202: / Line 220: @@
 &lt;/td&gt;
          &lt;td&gt;G#/Hb&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;G#&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 214: / Line 234: @@
 &lt;/td&gt;
          &lt;td&gt;H&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;Ab&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 226: / Line 248: @@
 &lt;/td&gt;
          &lt;td&gt;A&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;A#&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 238: / Line 262: @@
 &lt;/td&gt;
          &lt;td&gt;A#/Bb&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;Bb&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 250: / Line 276: @@
 &lt;/td&gt;
          &lt;td&gt;B&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;B#/Cbb&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 260: / Line 288: @@
 &lt;/td&gt;
          &lt;td&gt;C/B#&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;C&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;C&lt;br /&gt;
@@ Line 276: / Line 306: @@
   Due to the prime character of the number 13, 13edo can form several xenharmonic &lt;a class="wiki_link" href="/MOSScales"&gt;moment of symmetry scales&lt;/a&gt;. The diagram below shows five &amp;quot;families&amp;quot; of MOS scales: those generated by making a chain of 2\13 (two degrees of 13edo), 3\13, 4\13, 5\13, &amp;amp; 6\13, respectively.&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextLocalImageRule:345:&amp;lt;img src=&amp;quot;/file/view/13edo_horograms.jpg/104015789/13edo_horograms.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/13edo_horograms.jpg/104015789/13edo_horograms.jpg" alt="13edo_horograms.jpg" title="13edo_horograms.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:345 --&gt;&lt;br /&gt;
+&lt;!-- ws:start:WikiTextLocalImageRule:375:&amp;lt;img src=&amp;quot;/file/view/13edo_horograms.jpg/104015789/13edo_horograms.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/13edo_horograms.jpg/104015789/13edo_horograms.jpg" alt="13edo_horograms.jpg" title="13edo_horograms.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:375 --&gt;&lt;br /&gt;
-&lt;!-- ws:start:WikiTextFileRule:348:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file/13edo%20horograms.pdf?h=52&amp;amp;w=320&amp;quot; class=&amp;quot;WikiFile&amp;quot; id=&amp;quot;wikitext@@file@@13edo horograms.pdf&amp;quot; title=&amp;quot;File: 13edo horograms.pdf&amp;quot; width=&amp;quot;320&amp;quot; height=&amp;quot;52&amp;quot; /&amp;gt; --&gt;&lt;div class="objectEmbed"&gt;&lt;a href="/file/view/13edo%20horograms.pdf/104047129/13edo%20horograms.pdf" onclick="ws.common.trackFileLink('/file/view/13edo%20horograms.pdf/104047129/13edo%20horograms.pdf');"&gt;&lt;img src="http://www.wikispaces.com/i/mime/32/application/pdf.png" height="32" width="32" alt="13edo horograms.pdf" /&gt;&lt;/a&gt;&lt;div&gt;&lt;a href="/file/view/13edo%20horograms.pdf/104047129/13edo%20horograms.pdf" onclick="ws.common.trackFileLink('/file/view/13edo%20horograms.pdf/104047129/13edo%20horograms.pdf');" class="filename" title="13edo horograms.pdf"&gt;13edo horograms.pdf&lt;/a&gt;&lt;br /&gt;&lt;ul&gt;&lt;li&gt;&lt;a href="/file/detail/13edo%20horograms.pdf"&gt;Details&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="/file/view/13edo%20horograms.pdf/104047129/13edo%20horograms.pdf"&gt;Download&lt;/a&gt;&lt;/li&gt;&lt;li style="color: #666"&gt;242 KB&lt;/li&gt;&lt;/ul&gt;&lt;/div&gt;&lt;/div&gt;&lt;!-- ws:end:WikiTextFileRule:348 --&gt;&lt;br /&gt;
+&lt;!-- ws:start:WikiTextFileRule:378:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file/13edo%20horograms.pdf?h=52&amp;amp;w=320&amp;quot; class=&amp;quot;WikiFile&amp;quot; id=&amp;quot;wikitext@@file@@13edo horograms.pdf&amp;quot; title=&amp;quot;File: 13edo horograms.pdf&amp;quot; width=&amp;quot;320&amp;quot; height=&amp;quot;52&amp;quot; /&amp;gt; --&gt;&lt;div class="objectEmbed"&gt;&lt;a href="/file/view/13edo%20horograms.pdf/104047129/13edo%20horograms.pdf" onclick="ws.common.trackFileLink('/file/view/13edo%20horograms.pdf/104047129/13edo%20horograms.pdf');"&gt;&lt;img src="http://www.wikispaces.com/i/mime/32/application/pdf.png" height="32" width="32" alt="13edo horograms.pdf" /&gt;&lt;/a&gt;&lt;div&gt;&lt;a href="/file/view/13edo%20horograms.pdf/104047129/13edo%20horograms.pdf" onclick="ws.common.trackFileLink('/file/view/13edo%20horograms.pdf/104047129/13edo%20horograms.pdf');" class="filename" title="13edo horograms.pdf"&gt;13edo horograms.pdf&lt;/a&gt;&lt;br /&gt;&lt;ul&gt;&lt;li&gt;&lt;a href="/file/detail/13edo%20horograms.pdf"&gt;Details&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="/file/view/13edo%20horograms.pdf/104047129/13edo%20horograms.pdf"&gt;Download&lt;/a&gt;&lt;/li&gt;&lt;li style="color: #666"&gt;242 KB&lt;/li&gt;&lt;/ul&gt;&lt;/div&gt;&lt;/div&gt;&lt;!-- ws:end:WikiTextFileRule:378 --&gt;&lt;br /&gt;
 ~diagram by Andrew Heathwaite, based on horograms pioneered by Erv Wilson&lt;br /&gt;
 &lt;br /&gt;
@@ Line 301: / Line 331: @@
 &lt;br /&gt;
 To facilitate discussion of these scales, Igliashon has ascribed them names based on H.P. Lovecraft's &amp;quot;Dream Cycle&amp;quot; mythos. The 2\13-based heptatonic has been named &amp;quot;archeotonic&amp;quot; after the &amp;quot;Old Ones&amp;quot; that rule the Dreamlands, and the 5\13-based octatonic has been named &amp;quot;oneirotonic&amp;quot; after the Dreamlands themselves. Modes of the archeotonic are named after the individual Old Ones themselves; modes of the oneirotonic are named after cities in the Dreamlands. See the charts of modes of the two scales below, excerpted from Igliashon's forthcoming paper &amp;quot;The Case for Thirteen&amp;quot;:&lt;br /&gt;
-&lt;!-- ws:start:WikiTextLocalImageRule:346:&amp;lt;img src=&amp;quot;/file/view/Archeotonic.png/252639498/Archeotonic.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/Archeotonic.png/252639498/Archeotonic.png" alt="Archeotonic.png" title="Archeotonic.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:346 --&gt;&lt;br /&gt;
+&lt;!-- ws:start:WikiTextLocalImageRule:376:&amp;lt;img src=&amp;quot;/file/view/Archeotonic.png/252639498/Archeotonic.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/Archeotonic.png/252639498/Archeotonic.png" alt="Archeotonic.png" title="Archeotonic.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:376 --&gt;&lt;br /&gt;
-&lt;!-- ws:start:WikiTextLocalImageRule:347:&amp;lt;img src=&amp;quot;/file/view/Oneirotonic.png/252639860/Oneirotonic.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/Oneirotonic.png/252639860/Oneirotonic.png" alt="Oneirotonic.png" title="Oneirotonic.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:347 --&gt;&lt;br /&gt;
+&lt;!-- ws:start:WikiTextLocalImageRule:377:&amp;lt;img src=&amp;quot;/file/view/Oneirotonic.png/252639860/Oneirotonic.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/Oneirotonic.png/252639860/Oneirotonic.png" alt="Oneirotonic.png" title="Oneirotonic.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:377 --&gt;&lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc5"&gt;&lt;a name="Commas"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Commas&lt;/h1&gt;
 EDO &lt;a class="wiki_link" href="/tempering%20out"&gt;tempers out&lt;/a&gt; the following &lt;a class="wiki_link" href="/comma"&gt;comma&lt;/a&gt;s. (Note: This assumes the val &amp;lt; 13 21 30 36 45 48 |.)&lt;br /&gt;