19edo: Difference between revisions

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<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:~~JosephRuhf~~|~~JosephRuhf~~]] and made on <tt>2016-12-~~03 22~~:08:17 UTC</tt>.<br>

: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-12-13 07:16:42 UTC</tt>.<br>

: The original revision id was <tt>~~601308338~~</tt>.<br>

: The original revision id was <tt>602054010</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>

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1364.21 |||| <span style="line-height: 1.5;">48/25, </span>40/21, 27/14, <span style="line-height: 1.5;">25/13, 52/27</span> || Unicorn/rhinocerus ||

*based on treating 19-EDO as a 2.3.5.7.13 subgroup temperament; other approaches are possible.

=Chord Names=

Chords can be named using conventional methods, expanded to include augmented and diminished 3rds, 6ths, 7ths, etc.

0-6-11 = C E G = C = C major (approximate 4:5:6)

0-5-11 = C Eb G = Cm = C minor (approximate 10:12:15)

0-4-11 = C Ebb G = C(b3) or C(d3) = C flat-three or C dim-three (6:7:9)

0-7-11 = C E# G = C(#3) or C(A3) = C sharp-three or C aug-three (14:18:21)

0-6-11-15 = C E G Bbb = C(bb7) or C(d7) = C double-flat-seven or C major dim-seven or C add dim-seven = 4:5:6:7

0-5-11-15 = C Eb G A# = Cm(#6) or Cm(A6) = C minor sharp-six or C minor aug-six = 1/(4:5:6:7) = 1/1 - 6/5 - 3/2 - 12/7

The last two chords illustrate how the 15\19 interval can be considered as either 7/4 or 12/7, and how 19edo tends to conflate otonal and utonal septimal ratios.

For a more complete list, see [[xenharmonic/Ups and Downs Notation#Chord%20names%20in%20other%20EDOs|Ups and Downs Notation - Chord names in other EDOs]].

==Selected just intervals by error==

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*based on treating 19-EDO as a 2.3.5.7.13 subgroup temperament; other approaches are possible.<br />

<br />

<h2 id="~~toc4~~"><a name="~~As a means of extending harmony~~-Selected just intervals by error"></a>Selected just intervals by error</h2>

<h1 id="toc4"><a name="Chord Names"></a>Chord Names</h1>

<br />

Chords can be named using conventional methods, expanded to include augmented and diminished 3rds, 6ths, 7ths, etc.<br />

<br />

0-6-11 = C E G = C = C major (approximate 4:5:6)<br />

0-5-11 = C Eb G = Cm = C minor (approximate 10:12:15)<br />

0-4-11 = C Ebb G = C(b3) or C(d3) = C flat-three or C dim-three (6:7:9)<br />

0-7-11 = C E# G = C(#3) or C(A3) = C sharp-three or C aug-three (14:18:21)<br />

<br />

0-6-11-15 = C E G Bbb = C(bb7) or C(d7) = C double-flat-seven or C major dim-seven or C add dim-seven = 4:5:6:7<br />

0-5-11-15 = C Eb G A# <h1 id="toc5"><a name="Cm(#6) or Cm(A6)"></a> Cm(#6) or Cm(A6) </h1>

C minor sharp-six or C minor aug-six = 1/(4:5:6:7) = 1/1 - 6/5 - 3/2 - 12/7<br />

<br />

The last two chords illustrate how the 15\19 interval can be considered as either 7/4 or 12/7, and how 19edo tends to conflate otonal and utonal septimal ratios.<br />

<br />

For a more complete list, see <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ups%20and%20Downs%20Notation#Chord%20names%20in%20other%20EDOs">Ups and Downs Notation - Chord names in other EDOs</a>.<br />

<br />

<h2 id="toc6"><a name="Cm(#6) or Cm(A6)-Selected just intervals by error"></a>Selected just intervals by error</h2>

The following table shows how <a class="wiki_link" href="/Just-24">some prominent just intervals</a> are represented within 19edo (ordered by absolute error).<br />

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<br />

<object id="example" type="image/svg+xml" data="http://xenharmonic.wikispaces.com/file/view/19ed2-001.svg">alt : Your browser has no SVG support.</object><br />

<div class="objectEmbed"><a href="/file/view/19ed2-001.svg/484154000/19ed2-001.svg" onclick="ws.common.trackFileLink('/file/view/19ed2-001.svg/484154000/19ed2-001.svg');"><img src="http://www.wikispaces.com/i/mime/32/empty.png" height="32" width="32" alt="19ed2-001.svg" /></a><div><a href="/file/view/19ed2-001.svg/484154000/19ed2-001.svg" onclick="ws.common.trackFileLink('/file/view/19ed2-001.svg/484154000/19ed2-001.svg');" class="filename" title="19ed2-001.svg">19ed2-001.svg</a><br /><ul><li><a href="/file/detail/19ed2-001.svg">Details</a></li><li><a href="/file/view/19ed2-001.svg/484154000/19ed2-001.svg">Download</a></li><li style="color: #666">23 KB</li></ul></div></div><br />

<div class="objectEmbed"><a href="/file/view/19ed2-001.svg/484154000/19ed2-001.svg" onclick="ws.common.trackFileLink('/file/view/19ed2-001.svg/484154000/19ed2-001.svg');"><img src="http://www.wikispaces.com/i/mime/32/empty.png" height="32" width="32" alt="19ed2-001.svg" /></a><div><a href="/file/view/19ed2-001.svg/484154000/19ed2-001.svg" onclick="ws.common.trackFileLink('/file/view/19ed2-001.svg/484154000/19ed2-001.svg');" class="filename" title="19ed2-001.svg">19ed2-001.svg</a><br /><ul><li><a href="/file/detail/19ed2-001.svg">Details</a></li><li><a href="/file/view/19ed2-001.svg/484154000/19ed2-001.svg">Download</a></li><li style="color: #666">23 KB</li></ul></div></div><br />

<br />

<h2 id="~~toc5~~"><a name="~~As a means of extending harmony~~-Commas"></a>Commas</h2>

<h2 id="toc7"><a name="Cm(#6) or Cm(A6)-Commas"></a>Commas</h2>

19 EDO <a class="wiki_link" href="http://xenharmonic.wikispaces.com/tempering%20out">tempers out</a> the following <a class="wiki_link" href="http://xenharmonic.wikispaces.com/comma">comma</a>s. (Note: This assumes the <a class="wiki_link" href="http://xenharmonic.wikispaces.com/val">val</a> &lt; 19 30 44 53 66 70/1 |.)<br />

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<br />

<h2 id="~~toc6~~"><a name="~~As a means of extending harmony~~-See also"></a>See also</h2>

<h2 id="toc8"><a name="Cm(#6) or Cm(A6)-See also"></a>See also</h2>

<ul><li><a class="wiki_link" href="/19edo%20Modes">19edo Modes</a></li><li><a class="wiki_link" href="/Strictly%20proper%2019edo%20scales">Strictly prope</a><a class="wiki_link" href="/Strictly%20proper%2019edo%20scales">r 19edo scales</a></li><li><a class="wiki_link" href="/How%20to%20tune%20a%2019edo%20guitar%20by%20ear">How to tune a 19edo guitar by ear</a></li></ul><br />

<h2 id="~~toc7~~"><a name="~~As a means of extending harmony~~-Articles"></a>Articles</h2>

<h2 id="toc9"><a name="Cm(#6) or Cm(A6)-Articles"></a>Articles</h2>

<ul><li><a class="wiki_link_ext" href="http://sonic-arts.org/darreg/case.htm" rel="nofollow">A Case For Nineteen</a> by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ivor%20Darreg">Ivor Darreg</a> <a class="wiki_link_ext" href="http://www.webcitation.org/5xZzBtDGF" rel="nofollow">Permalink</a></li><li><a class="wiki_link_ext" href="http://www.microstick.net/nineteenarticle.htm" rel="nofollow">Nineteen for the Nineties</a> by Ivor Darreg</li><li><a class="wiki_link_ext" href="http://qcpages.qc.edu/%7Ehowe/articles/19-Tone%20Theory.html" rel="nofollow">19-Tone Theory and Applications</a> by Hubert S. Howe Jr. <a class="wiki_link_ext" href="http://www.webcitation.org/5xbMKVaqa" rel="nofollow">Permalink</a></li><li><a class="wiki_link_ext" href="http://sethares.engr.wisc.edu/tet19/guitarchords19.html" rel="nofollow">Tunings for 19 Tone Equal Tempered Guitar</a> by William A. Sethares <a class="wiki_link_ext" href="http://www.webcitation.org/5xeCbEPZ0" rel="nofollow">Permalink</a></li><li><a class="wiki_link_ext" href="http://www.n-ism.org/Projects/microtonalism.php" rel="nofollow">Microtonalism</a> by Bailey, Morrison, Pearson and Parncutt <a class="wiki_link_ext" href="http://www.webcitation.org/5xeDFQDvn" rel="nofollow">Permalink</a></li><li><a class="wiki_link_ext" href="http://tonalsoft.com/enc/number/19edo.aspx" rel="nofollow">19-tone equal-temperament and 1/3-comma meantone - Encyclopedia of Microtonal Music Theory</a> <a class="wiki_link_ext" href="http://tonalsoft.com/enc/number/19edo.aspx" rel="nofollow">Permalink</a></li><li><a class="wiki_link_ext" href="http://mtg.redkeylabs.com/index.php?topic=6.0" rel="nofollow">Forum Discussion with some 19-EDO xenharmonic scales Hanson (Keemun), Liese, Negri, Magic, Semaphore, Sensi played on guitar</a>.</li><li><a class="wiki_link_ext" href="http://www.ronsword.com/books.html" rel="nofollow">Enneadecaphonic Scales for Guitar</a> by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ron%20Sword">Ron Sword</a></li></ul><br />

<h2 id="~~toc8~~"><a name="~~As a means of extending harmony~~-References"></a>References</h2>

<h2 id="toc10"><a name="Cm(#6) or Cm(A6)-References"></a>References</h2>

<ul><li>Bucht, Saku and Huovinen, Erkki, <em>Perceived consonance of harmonic intervals in 19-tone equal temperament</em>, CIM04_proceedings.</li><li>Levy, Kenneth J., <em>Costeley's Chromatic Chanson</em>, Annales Musicologues: Moyen-Age et Renaissance, Tome III (1955), pp. 213-261.</li></ul><h1 id="~~toc9~~"> </h1>

<ul><li>Bucht, Saku and Huovinen, Erkki, <em>Perceived consonance of harmonic intervals in 19-tone equal temperament</em>, CIM04_proceedings.</li><li>Levy, Kenneth J., <em>Costeley's Chromatic Chanson</em>, Annales Musicologues: Moyen-Age et Renaissance, Tome III (1955), pp. 213-261.</li></ul><h1 id="toc11"> </h1>

<h2 id="~~toc10~~"><a name="~~As a means of extending harmony~~-Photos"></a>Photos</h2>

<h2 id="toc12"><a name="Cm(#6) or Cm(A6)-Photos"></a>Photos</h2>

19 note per octave Ibanez conversion by Brad Smith (Indianapolis)<br />

<img src="http://chrisvaisvil.com/wp-content/uploads/2011/04/Media-Card_BlackBerry_pictures_IMG00145-1024x768.jpg" alt="external image Media-Card_BlackBerry_pictures_IMG00145-1024x768.jpg" title="external image Media-Card_BlackBerry_pictures_IMG00145-1024x768.jpg" style="height: 420px; width: 560px;" /><br />

<img src="http://chrisvaisvil.com/wp-content/uploads/2011/04/Media-Card_BlackBerry_pictures_IMG00145-1024x768.jpg" alt="external image Media-Card_BlackBerry_pictures_IMG00145-1024x768.jpg" title="external image Media-Card_BlackBerry_pictures_IMG00145-1024x768.jpg" style="height: 420px; width: 560px;" /><br />

<br />

<hr />

<h1 id="~~toc11~~"><a name="Compositions"></a>Compositions<script type="text/javascript" src="http://webplayer.yahooapis.com/player-beta.js">

<h1 id="toc13"><a name="Compositions"></a>Compositions<script type="text/javascript" src="http://webplayer.yahooapis.com/player-beta.js">

</script></h1>

<strong><a class="wiki_link_ext" href="http://micro.soonlabel.com/19-ET/" rel="nofollow">XA 19-ET Index</a></strong><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:JosephRuhf|JosephRuhf]] and made on <tt>2016-12-03 22:08:17 UTC</tt>.<br>
+: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-12-13 07:16:42 UTC</tt>.<br>
-: The original revision id was <tt>601308338</tt>.<br>
+: The original revision id was <tt>602054010</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 73: / Line 73: @@
 .21 |||| &lt;span style="line-height: 1.5;"&gt;48/25, &lt;/span&gt;40/21, 27/14, &lt;span style="line-height: 1.5;"&gt;25/13, 52/27&lt;/span&gt; || Unicorn/rhinocerus ||
 *based on treating 19-EDO as a 2.3.5.7.13 subgroup temperament; other approaches are possible.
+=Chord Names=
+Chords can be named using conventional methods, expanded to include augmented and diminished 3rds, 6ths, 7ths, etc.
+-6-11 = C E G = C = C major (approximate 4:5:6)
+-5-11 = C Eb G = Cm = C minor (approximate 10:12:15)
+-4-11 = C Ebb G = C(b3) or C(d3) = C flat-three or C dim-three (6:7:9)
+-7-11 = C E# G = C(#3) or C(A3) = C sharp-three or C aug-three (14:18:21)
+-6-11-15 = C E G Bbb = C(bb7) or C(d7) = C double-flat-seven or C major dim-seven or C add dim-seven = 4:5:6:7
+-5-11-15 = C Eb G A# = Cm(#6) or Cm(A6) = C minor sharp-six or C minor aug-six = 1/(4:5:6:7) = 1/1 - 6/5 - 3/2 - 12/7
+The last two chords illustrate how the 15\19 interval can be considered as either 7/4 or 12/7, and how 19edo tends to conflate otonal and utonal septimal ratios.
+For a more complete list, see [[xenharmonic/Ups and Downs Notation#Chord%20names%20in%20other%20EDOs|Ups and Downs Notation - Chord names in other EDOs]].
 ==Selected just intervals by error==
@@ Line 573: / Line 589: @@
 *based on treating 19-EDO as a 2.3.5.7.13 subgroup temperament; other approaches are possible.&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="As a means of extending harmony-Selected just intervals by error"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Selected just intervals by error&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc4"&gt;&lt;a name="Chord Names"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Chord Names&lt;/h1&gt;
+ &lt;br /&gt;
+Chords can be named using conventional methods, expanded to include augmented and diminished 3rds, 6ths, 7ths, etc.&lt;br /&gt;
+&lt;br /&gt;
+-6-11 = C E G = C = C major (approximate 4:5:6)&lt;br /&gt;
+-5-11 = C Eb G = Cm = C minor (approximate 10:12:15)&lt;br /&gt;
+-4-11 = C Ebb G = C(b3) or C(d3) = C flat-three or C dim-three (6:7:9)&lt;br /&gt;
+-7-11 = C E# G = C(#3) or C(A3) = C sharp-three or C aug-three (14:18:21)&lt;br /&gt;
+&lt;br /&gt;
+-6-11-15 = C E G Bbb = C(bb7) or C(d7) = C double-flat-seven or C major dim-seven or C add dim-seven = 4:5:6:7&lt;br /&gt;
+-5-11-15 = C Eb G A#  &lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc5"&gt;&lt;a name="Cm(#6) or Cm(A6)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt; Cm(#6) or Cm(A6) &lt;/h1&gt;
+ C minor sharp-six or C minor aug-six = 1/(4:5:6:7) = 1/1 - 6/5 - 3/2 - 12/7&lt;br /&gt;
+&lt;br /&gt;
+The last two chords illustrate how the 15\19 interval can be considered as either 7/4 or 12/7, and how 19edo tends to conflate otonal and utonal septimal ratios.&lt;br /&gt;
+&lt;br /&gt;
+For a more complete list, see &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ups%20and%20Downs%20Notation#Chord%20names%20in%20other%20EDOs"&gt;Ups and Downs Notation - Chord names in other EDOs&lt;/a&gt;.&lt;br /&gt;
+&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc6"&gt;&lt;a name="Cm(#6) or Cm(A6)-Selected just intervals by error"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Selected just intervals by error&lt;/h2&gt;
   The following table shows how &lt;a class="wiki_link" href="/Just-24"&gt;some prominent just intervals&lt;/a&gt; are represented within 19edo (ordered by absolute error).&lt;br /&gt;
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 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="As a means of extending harmony-Commas"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Commas&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc7"&gt;&lt;a name="Cm(#6) or Cm(A6)-Commas"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;Commas&lt;/h2&gt;
 EDO &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/tempering%20out"&gt;tempers out&lt;/a&gt; the following &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/comma"&gt;comma&lt;/a&gt;s. (Note: This assumes the &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/val"&gt;val&lt;/a&gt; &amp;lt; 19 30 44 53 66 70/1 |.)&lt;br /&gt;
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 &lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc6"&gt;&lt;a name="As a means of extending harmony-See also"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;See also&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc8"&gt;&lt;a name="Cm(#6) or Cm(A6)-See also"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;See also&lt;/h2&gt;
   &lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/19edo%20Modes"&gt;19edo Modes&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Strictly%20proper%2019edo%20scales"&gt;Strictly prope&lt;/a&gt;&lt;a class="wiki_link" href="/Strictly%20proper%2019edo%20scales"&gt;r 19edo scales&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/How%20to%20tune%20a%2019edo%20guitar%20by%20ear"&gt;How to tune a 19edo guitar by ear&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
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+&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc9"&gt;&lt;a name="Cm(#6) or Cm(A6)-Articles"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;Articles&lt;/h2&gt;
   &lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://sonic-arts.org/darreg/case.htm" rel="nofollow"&gt;A Case For Nineteen&lt;/a&gt; by &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ivor%20Darreg"&gt;Ivor Darreg&lt;/a&gt; &lt;a class="wiki_link_ext" href="http://www.webcitation.org/5xZzBtDGF" rel="nofollow"&gt;Permalink&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.microstick.net/nineteenarticle.htm" rel="nofollow"&gt;Nineteen for the Nineties&lt;/a&gt; by Ivor Darreg&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://qcpages.qc.edu/%7Ehowe/articles/19-Tone%20Theory.html" rel="nofollow"&gt;19-Tone Theory and Applications&lt;/a&gt; by Hubert S. Howe Jr. &lt;a class="wiki_link_ext" href="http://www.webcitation.org/5xbMKVaqa" rel="nofollow"&gt;Permalink&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://sethares.engr.wisc.edu/tet19/guitarchords19.html" rel="nofollow"&gt;Tunings for 19 Tone Equal Tempered Guitar&lt;/a&gt; by William A. Sethares &lt;a class="wiki_link_ext" href="http://www.webcitation.org/5xeCbEPZ0" rel="nofollow"&gt;Permalink&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.n-ism.org/Projects/microtonalism.php" rel="nofollow"&gt;Microtonalism&lt;/a&gt; by Bailey, Morrison, Pearson and Parncutt &lt;a class="wiki_link_ext" href="http://www.webcitation.org/5xeDFQDvn" rel="nofollow"&gt;Permalink&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://tonalsoft.com/enc/number/19edo.aspx" rel="nofollow"&gt;19-tone equal-temperament and 1/3-comma meantone - Encyclopedia of Microtonal Music Theory&lt;/a&gt; &lt;a class="wiki_link_ext" href="http://tonalsoft.com/enc/number/19edo.aspx" rel="nofollow"&gt;Permalink&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://mtg.redkeylabs.com/index.php?topic=6.0" rel="nofollow"&gt;Forum Discussion with some 19-EDO xenharmonic scales Hanson (Keemun), Liese, Negri, Magic, Semaphore, Sensi played on guitar&lt;/a&gt;.&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.ronsword.com/books.html" rel="nofollow"&gt;Enneadecaphonic Scales for Guitar&lt;/a&gt; by &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ron%20Sword"&gt;Ron Sword&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc8"&gt;&lt;a name="As a means of extending harmony-References"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;References&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:22:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc10"&gt;&lt;a name="Cm(#6) or Cm(A6)-References"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt;References&lt;/h2&gt;
-  &lt;ul&gt;&lt;li&gt;Bucht, Saku and Huovinen, Erkki, &lt;em&gt;Perceived consonance of harmonic intervals in 19-tone equal temperament&lt;/em&gt;, CIM04_proceedings.&lt;/li&gt;&lt;li&gt;Levy, Kenneth J., &lt;em&gt;Costeley's Chromatic Chanson&lt;/em&gt;, Annales Musicologues: Moyen-Age et Renaissance, Tome III (1955), pp. 213-261.&lt;/li&gt;&lt;/ul&gt;&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc9"&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt; &lt;/h1&gt;
+  &lt;ul&gt;&lt;li&gt;Bucht, Saku and Huovinen, Erkki, &lt;em&gt;Perceived consonance of harmonic intervals in 19-tone equal temperament&lt;/em&gt;, CIM04_proceedings.&lt;/li&gt;&lt;li&gt;Levy, Kenneth J., &lt;em&gt;Costeley's Chromatic Chanson&lt;/em&gt;, Annales Musicologues: Moyen-Age et Renaissance, Tome III (1955), pp. 213-261.&lt;/li&gt;&lt;/ul&gt;&lt;!-- ws:start:WikiTextHeadingRule:24:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc11"&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt; &lt;/h1&gt;
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+  &lt;!-- ws:start:WikiTextHeadingRule:26:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc12"&gt;&lt;a name="Cm(#6) or Cm(A6)-Photos"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt;Photos&lt;/h2&gt;
 note per octave Ibanez conversion by Brad Smith (Indianapolis)&lt;br /&gt;
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   &lt;strong&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/19-ET/" rel="nofollow"&gt;XA 19-ET Index&lt;/a&gt;&lt;/strong&gt;&lt;br /&gt;