36edo: 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:

: This revision was by author [[User:~~genewardsmith~~|~~genewardsmith~~]] and made on <tt>~~2012~~-12-~~28 15~~:01:42 UTC</tt>.

: This revision was by author [[User:hearneg|hearneg]] and made on <tt>2014-01-21 01:30:28 UTC</tt>.

: The original revision id was <tt>~~394888058~~</tt>.

: The original revision id was <tt>484175242</tt>.

: The revision comment was: <tt></tt>

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

<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">[[toc|flat]]

36edo, by definition, divides the 2:1 octave into 36 equal steps, each of which is exactly 33.333... cents.

Line 61:

Line 60:

63/32 = 1172.736... cents; 35 degrees of 36edo = 1166.666... cents.

=~~Music~~=

And now all that in a table, because tables are good.

* [[http://micro.soonlabel.com/gene_ward_smith/36edo/something.mp3|Something]] by [[Herman Klein]]

||~ Degrees of 36edo ||~ Cents Value ||~ Approx. ratios of 2.3.7 ||

||< 0 ||< 0 ||< 1/1 ||

||< 1 ||< 33.333 ||< 64/63 ~ 49/48 ||

||< 2 ||< 66.667 ||< 28/27 ||

||< 3 ||< 100 ||< ||

||< 4 ||< 133.333 ||< ||

||< 5 ||< 166.667 ||< ||

||< 6 ||< 200 ||< 9/8 ||

||< 7 ||< 233.333 ||< 8/7 ||

||< 8 ||< 266.667 ||< 7/6 ||

||< 9 ||< 300 ||< 32/37 ||

||< 10 ||< 333.333 ||< ||

||< 11 ||< 366.667 ||< ||

||< 12 ||< 400 ||< 81/64 ||

||< 13 ||< 433.333 ||< 9/7 ||

||< 14 ||< 466.667 ||< 64/49 ~ 21/16 ||

||< 15 ||< 500 ||< 4/3 ||

||< 16 ||< 533.333 ||< 49/36 ||

||< 17 ||< 566.667 ||< ||

||< 18 ||< 600 ||< ||

||< 19 ||< 633.333 ||< ||

||< 20 ||< 666.667 ||< 72/49 ||

||< 21 ||< 700 ||< 3/2 ||

||< 22 ||< 733.333 ||< 49/32 ~ 32/21 ||

||< 23 ||< 766.667 ||< 14/9 ||

||< 24 ||< 800 ||< 128/81 ||

||< 25 ||< 833.333 ||< ||

||< 26 ||< 866.667 ||< ||

||< 27 ||< 900 ||< 27/16 ||

||< 28 ||< 933.333 ||< 12/7 ||

||< 29 ||< 966.667 ||< 7/4 ||

||< 30 ||< 1000 ||< 16/9 ||

||< 31 ||< 1033.333 ||< ||

||< 32 ||< 1066.667 ||< ||

||< 33 ||< 1100 ||< ||

||< 34 ||< 1133.333 ||< 27/14 ||

||< 35 ||< 1166.667 ||< 63/32 ~ 96/49 ||

=M37usic=

* 3[[http://micro.soonlabel.com/gene_ward_smith/36edo/something.mp3|Something]] by [[Herman Klein]]

* [[http://micro.soonlabel.com/gene_ward_smith/36edo/hay.mp3|Hay]] by [[Joe Hayseed]]

* [[http://micro.soonlabel.com/gene_ward_smith/36edo/boomers.mp3|Boomers]] by [[Ivan Bratt]][[media type="custom" key="9486498"]]

* [[http://micro.soonlabel.com/36edo/20120418-36edo.mp3|Thoughts in Legolas Tuning]] by [[Chris Vaisvil]]</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"><html><head><title>36edo</title></head><body><a href="#As a harmonic temperament">As a harmonic temperament</a> | <a href="#Approximations">Approximations</a> | <a href="#~~Music~~">~~Music~~</a>

<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>36edo</title></head><body><a href="#As a harmonic temperament">As a harmonic temperament</a> | <a href="#Approximations">Approximations</a> | <a href="#M37usic">M37usic</a>

~~ ~~

36edo, by definition, divides the 2:1 octave into 36 equal steps, each of which is exactly 33.333... cents.

36edo, by definition, divides the 2:1 octave into 36 equal steps, each of which is exactly 33.333... cents.

36 is a highly composite number, factoring into 2x2x3x3. Since 36 is divisible by 12, it contains the overly-familiar <a class="wiki_link" href="/12edo">12edo</a> as a subset. It divides 12edo's 100-cent half step into three microtonal step of approximately 33 cents, which could be called &quot;sixth tones.&quot; 36edo also contains <a class="wiki_link" href="/18edo">18edo</a> (&quot;third tones&quot;) and <a class="wiki_link" href="/9edo">9edo</a> (&quot;two-thirds tones&quot;) as subsets, not to mention the <a class="wiki_link" href="/6edo">6edo</a> whole tone scale, <a class="wiki_link" href="/4edo">4edo</a> full-diminished seventh chord, and the <a class="wiki_link" href="/3edo">3edo</a> augmented triad, all of which are present in 12edo.

Line 122:

Line 159:

63/32 = 1172.736... cents; 35 degrees of 36edo = 1166.666... cents.

<h1 id="toc6"><a name="~~Music~~"></a>~~Music~~</h1>

And now all that in a table, because tables are good.

<ul><li><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/36edo/something.mp3" rel="nofollow">Something</a> by <a class="wiki_link" href="/Herman%20Klein">Herman Klein</a></li><li><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/36edo/hay.mp3" rel="nofollow">Hay</a> by <a class="wiki_link" href="/Joe%20Hayseed">Joe Hayseed</a></li><li><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/36edo/boomers.mp3" rel="nofollow">Boomers</a> by <a class="wiki_link" href="/Ivan%20Bratt">Ivan Bratt</a><script type="text/javascript" src="http://webplayer.yahooapis.com/player.js">

<tr>

<th>Degrees of 36edo

</th>

<th>Cents Value

</th>

<th>Approx. ratios of 2.3.7

</th>

</tr>

<tr>

<td style="text-align: left;">0

</td>

<td style="text-align: left;">0

</td>

<td style="text-align: left;">1/1

</td>

</tr>

<tr>

<td style="text-align: left;">1

</td>

<td style="text-align: left;">33.333

</td>

<td style="text-align: left;">64/63 ~ 49/48

</td>

</tr>

<tr>

<td style="text-align: left;">2

</td>

<td style="text-align: left;">66.667

</td>

<td style="text-align: left;">28/27

</td>

</tr>

<tr>

<td style="text-align: left;">3

</td>

<td style="text-align: left;">100

</td>

</td>

</tr>

<tr>

<td style="text-align: left;">4

</td>

<td style="text-align: left;">133.333

</td>

</td>

</tr>

<tr>

<td style="text-align: left;">5

</td>

<td style="text-align: left;">166.667

</td>

</td>

</tr>

<tr>

<td style="text-align: left;">6

</td>

<td style="text-align: left;">200

</td>

<td style="text-align: left;">9/8

</td>

</tr>

<tr>

<td style="text-align: left;">7

</td>

<td style="text-align: left;">233.333

</td>

<td style="text-align: left;">8/7

</td>

</tr>

<tr>

<td style="text-align: left;">8

</td>

<td style="text-align: left;">266.667

</td>

<td style="text-align: left;">7/6

</td>

</tr>

<tr>

<td style="text-align: left;">9

</td>

<td style="text-align: left;">300

</td>

<td style="text-align: left;">32/37

</td>

</tr>

<tr>

<td style="text-align: left;">10

</td>

<td style="text-align: left;">333.333

</td>

</td>

</tr>

<tr>

<td style="text-align: left;">11

</td>

<td style="text-align: left;">366.667

</td>

</td>

</tr>

<tr>

<td style="text-align: left;">12

</td>

<td style="text-align: left;">400

</td>

<td style="text-align: left;">81/64

</td>

</tr>

<tr>

<td style="text-align: left;">13

</td>

<td style="text-align: left;">433.333

</td>

<td style="text-align: left;">9/7

</td>

</tr>

<tr>

<td style="text-align: left;">14

</td>

<td style="text-align: left;">466.667

</td>

<td style="text-align: left;">64/49 ~ 21/16

</td>

</tr>

<tr>

<td style="text-align: left;">15

</td>

<td style="text-align: left;">500

</td>

<td style="text-align: left;">4/3

</td>

</tr>

<tr>

<td style="text-align: left;">16

</td>

<td style="text-align: left;">533.333

</td>

<td style="text-align: left;">49/36

</td>

</tr>

<tr>

<td style="text-align: left;">17

</td>

<td style="text-align: left;">566.667

</td>

</td>

</tr>

<tr>

<td style="text-align: left;">18

</td>

<td style="text-align: left;">600

</td>

</td>

</tr>

<tr>

<td style="text-align: left;">19

</td>

<td style="text-align: left;">633.333

</td>

</td>

</tr>

<tr>

<td style="text-align: left;">20

</td>

<td style="text-align: left;">666.667

</td>

<td style="text-align: left;">72/49

</td>

</tr>

<tr>

<td style="text-align: left;">21

</td>

<td style="text-align: left;">700

</td>

<td style="text-align: left;">3/2

</td>

</tr>

<tr>

<td style="text-align: left;">22

</td>

<td style="text-align: left;">733.333

</td>

<td style="text-align: left;">49/32 ~ 32/21

</td>

</tr>

<tr>

<td style="text-align: left;">23

</td>

<td style="text-align: left;">766.667

</td>

<td style="text-align: left;">14/9

</td>

</tr>

<tr>

<td style="text-align: left;">24

</td>

<td style="text-align: left;">800

</td>

<td style="text-align: left;">128/81

</td>

</tr>

<tr>

<td style="text-align: left;">25

</td>

<td style="text-align: left;">833.333

</td>

</td>

</tr>

<tr>

<td style="text-align: left;">26

</td>

<td style="text-align: left;">866.667

</td>

</td>

</tr>

<tr>

<td style="text-align: left;">27

</td>

<td style="text-align: left;">900

</td>

<td style="text-align: left;">27/16

</td>

</tr>

<tr>

<td style="text-align: left;">28

</td>

<td style="text-align: left;">933.333

</td>

<td style="text-align: left;">12/7

</td>

</tr>

<tr>

<td style="text-align: left;">29

</td>

<td style="text-align: left;">966.667

</td>

<td style="text-align: left;">7/4

</td>

</tr>

<tr>

<td style="text-align: left;">30

</td>

<td style="text-align: left;">1000

</td>

<td style="text-align: left;">16/9

</td>

</tr>

<tr>

<td style="text-align: left;">31

</td>

<td style="text-align: left;">1033.333

</td>

</td>

</tr>

<tr>

<td style="text-align: left;">32

</td>

<td style="text-align: left;">1066.667

</td>

</td>

</tr>

<tr>

<td style="text-align: left;">33

</td>

<td style="text-align: left;">1100

</td>

</td>

</tr>

<tr>

<td style="text-align: left;">34

</td>

<td style="text-align: left;">1133.333

</td>

<td style="text-align: left;">27/14

</td>

</tr>

<tr>

<td style="text-align: left;">35

</td>

<td style="text-align: left;">1166.667

</td>

<td style="text-align: left;">63/32 ~ 96/49

</td>

</tr>

</table>

<h1 id="toc6"><a name="M37usic"></a>M37usic</h1>

<ul><li>3<a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/36edo/something.mp3" rel="nofollow">Something</a> by <a class="wiki_link" href="/Herman%20Klein">Herman Klein</a></li><li><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/36edo/hay.mp3" rel="nofollow">Hay</a> by <a class="wiki_link" href="/Joe%20Hayseed">Joe Hayseed</a></li><li><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/36edo/boomers.mp3" rel="nofollow">Boomers</a> by <a class="wiki_link" href="/Ivan%20Bratt">Ivan Bratt</a><script type="text/javascript" src="http://webplayer.yahooapis.com/player.js">

</script></li><li><a class="wiki_link_ext" href="http://micro.soonlabel.com/36edo/20120418-36edo.mp3" rel="nofollow">Thoughts in Legolas Tuning</a> by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a></li></ul></body></html></pre></div>

@@ 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:genewardsmith|genewardsmith]] and made on <tt>2012-12-28 15:01:42 UTC</tt>.<br>
+: This revision was by author [[User:hearneg|hearneg]] and made on <tt>2014-01-21 01:30:28 UTC</tt>.<br>
-: The original revision id was <tt>394888058</tt>.<br>
+: The original revision id was <tt>484175242</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">[[toc|flat]]
 edo, by definition, divides the 2:1 octave into 36 equal steps, each of which is exactly 33.333... cents.
@@ Line 61: / Line 60: @@
 /32 = 1172.736... cents; 35 degrees of 36edo = 1166.666... cents.
-=Music=
+And now all that in a table, because tables are good.
-* &lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;[[http://micro.soonlabel.com/gene_ward_smith/36edo/something.mp3|Something]]&lt;/span&gt; by [[Herman Klein]]
+||~ Degrees of 36edo ||~ Cents Value ||~ Approx. ratios of 2.3.7 ||
+||&lt; 0 ||&lt; 0 ||&lt; 1/1 ||
+||&lt; 1 ||&lt; 33.333 ||&lt; 64/63 ~ 49/48 ||
+||&lt; 2 ||&lt; 66.667 ||&lt; 28/27 ||
+||&lt; 3 ||&lt; 100 ||&lt;   ||
+||&lt; 4 ||&lt; 133.333 ||&lt;   ||
+||&lt; 5 ||&lt; 166.667 ||&lt;   ||
+||&lt; 6 ||&lt; 200 ||&lt; 9/8 ||
+||&lt; 7 ||&lt; 233.333 ||&lt; 8/7 ||
+||&lt; 8 ||&lt; 266.667 ||&lt; 7/6 ||
+||&lt; 9 ||&lt; 300 ||&lt; 32/37 ||
+||&lt; 10 ||&lt; 333.333 ||&lt;   ||
+||&lt; 11 ||&lt; 366.667 ||&lt;   ||
+||&lt; 12 ||&lt; 400 ||&lt; 81/64 ||
+||&lt; 13 ||&lt; 433.333 ||&lt; 9/7 ||
+||&lt; 14 ||&lt; 466.667 ||&lt; 64/49 ~ 21/16 ||
+||&lt; 15 ||&lt; 500 ||&lt; 4/3 ||
+||&lt; 16 ||&lt; 533.333 ||&lt; 49/36 ||
+||&lt; 17 ||&lt; 566.667 ||&lt;   ||
+||&lt; 18 ||&lt; 600 ||&lt;   ||
+||&lt; 19 ||&lt; 633.333 ||&lt;   ||
+||&lt; 20 ||&lt; 666.667 ||&lt; 72/49 ||
+||&lt; 21 ||&lt; 700 ||&lt; 3/2 ||
+||&lt; 22 ||&lt; 733.333 ||&lt; 49/32 ~ 32/21 ||
+||&lt; 23 ||&lt; 766.667 ||&lt; 14/9 ||
+||&lt; 24 ||&lt; 800 ||&lt; 128/81 ||
+||&lt; 25 ||&lt; 833.333 ||&lt;   ||
+||&lt; 26 ||&lt; 866.667 ||&lt;   ||
+||&lt; 27 ||&lt; 900 ||&lt; 27/16 ||
+||&lt; 28 ||&lt; 933.333 ||&lt; 12/7 ||
+||&lt; 29 ||&lt; 966.667 ||&lt; 7/4 ||
+||&lt; 30 ||&lt; 1000 ||&lt; 16/9 ||
+||&lt; 31 ||&lt; 1033.333 ||&lt;   ||
+||&lt; 32 ||&lt; 1066.667 ||&lt;   ||
+||&lt; 33 ||&lt; 1100 ||&lt;   ||
+||&lt; 34 ||&lt; 1133.333 ||&lt; 27/14 ||
+||&lt; 35 ||&lt; 1166.667 ||&lt; 63/32 ~ 96/49 ||
+=M37usic=
+* &lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;3[[http://micro.soonlabel.com/gene_ward_smith/36edo/something.mp3|Something]]&lt;/span&gt; by [[Herman Klein]]
 * &lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;[[http://micro.soonlabel.com/gene_ward_smith/36edo/hay.mp3|Hay]]&lt;/span&gt; by [[Joe Hayseed]]
 * &lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;[[http://micro.soonlabel.com/gene_ward_smith/36edo/boomers.mp3|Boomers]]&lt;/span&gt; by [[Ivan Bratt]][[media type="custom" key="9486498"]]
 * [[http://micro.soonlabel.com/36edo/20120418-36edo.mp3|Thoughts in Legolas Tuning]] by [[Chris Vaisvil]]</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;36edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:15:&amp;lt;img id=&amp;quot;wikitext@@toc@@flat&amp;quot; class=&amp;quot;WikiMedia WikiMediaTocFlat&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/flat?w=100&amp;amp;h=16&amp;quot;/&amp;gt; --&gt;&lt;!-- ws:end:WikiTextTocRule:15 --&gt;&lt;!-- ws:start:WikiTextTocRule:16: --&gt;&lt;a href="#As a harmonic temperament"&gt;As a harmonic temperament&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:16 --&gt;&lt;!-- ws:start:WikiTextTocRule:17: --&gt; | &lt;a href="#Approximations"&gt;Approximations&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:17 --&gt;&lt;!-- ws:start:WikiTextTocRule:18: --&gt;&lt;!-- ws:end:WikiTextTocRule:18 --&gt;&lt;!-- ws:start:WikiTextTocRule:19: --&gt;&lt;!-- ws:end:WikiTextTocRule:19 --&gt;&lt;!-- ws:start:WikiTextTocRule:20: --&gt;&lt;!-- ws:end:WikiTextTocRule:20 --&gt;&lt;!-- ws:start:WikiTextTocRule:21: --&gt;&lt;!-- ws:end:WikiTextTocRule:21 --&gt;&lt;!-- ws:start:WikiTextTocRule:22: --&gt; | &lt;a href="#Music"&gt;Music&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:22 --&gt;&lt;!-- ws:start:WikiTextTocRule:23: --&gt;
+<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;36edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:15:&amp;lt;img id=&amp;quot;wikitext@@toc@@flat&amp;quot; class=&amp;quot;WikiMedia WikiMediaTocFlat&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/flat?w=100&amp;amp;h=16&amp;quot;/&amp;gt; --&gt;&lt;!-- ws:end:WikiTextTocRule:15 --&gt;&lt;!-- ws:start:WikiTextTocRule:16: --&gt;&lt;a href="#As a harmonic temperament"&gt;As a harmonic temperament&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:16 --&gt;&lt;!-- ws:start:WikiTextTocRule:17: --&gt; | &lt;a href="#Approximations"&gt;Approximations&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:17 --&gt;&lt;!-- ws:start:WikiTextTocRule:18: --&gt;&lt;!-- ws:end:WikiTextTocRule:18 --&gt;&lt;!-- ws:start:WikiTextTocRule:19: --&gt;&lt;!-- ws:end:WikiTextTocRule:19 --&gt;&lt;!-- ws:start:WikiTextTocRule:20: --&gt;&lt;!-- ws:end:WikiTextTocRule:20 --&gt;&lt;!-- ws:start:WikiTextTocRule:21: --&gt;&lt;!-- ws:end:WikiTextTocRule:21 --&gt;&lt;!-- ws:start:WikiTextTocRule:22: --&gt; | &lt;a href="#M37usic"&gt;M37usic&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:22 --&gt;&lt;!-- ws:start:WikiTextTocRule:23: --&gt;
-&lt;!-- ws:end:WikiTextTocRule:23 --&gt;&lt;br /&gt;
+&lt;!-- ws:end:WikiTextTocRule:23 --&gt;36edo, by definition, divides the 2:1 octave into 36 equal steps, each of which is exactly 33.333... cents.&lt;br /&gt;
-edo, by definition, divides the 2:1 octave into 36 equal steps, each of which is exactly 33.333... cents.&lt;br /&gt;
 &lt;br /&gt;
 is a highly composite number, factoring into 2x2x3x3. Since 36 is divisible by 12, it contains the overly-familiar &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt; as a subset. It divides 12edo's 100-cent half step into three microtonal step of approximately 33 cents, which could be called &amp;quot;sixth tones.&amp;quot; 36edo also contains &lt;a class="wiki_link" href="/18edo"&gt;18edo&lt;/a&gt; (&amp;quot;third tones&amp;quot;) and &lt;a class="wiki_link" href="/9edo"&gt;9edo&lt;/a&gt; (&amp;quot;two-thirds tones&amp;quot;) as subsets, not to mention the &lt;a class="wiki_link" href="/6edo"&gt;6edo&lt;/a&gt; whole tone scale, &lt;a class="wiki_link" href="/4edo"&gt;4edo&lt;/a&gt; full-diminished seventh chord, and the &lt;a class="wiki_link" href="/3edo"&gt;3edo&lt;/a&gt; augmented triad, all of which are present in 12edo.&lt;br /&gt;
@@ Line 122: / Line 159: @@
 /32 = 1172.736... cents; 35 degrees of 36edo = 1166.666... cents.&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:13:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc6"&gt;&lt;a name="Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:13 --&gt;Music&lt;/h1&gt;
+And now all that in a table, because tables are good.&lt;br /&gt;
-  &lt;ul&gt;&lt;li&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/36edo/something.mp3" rel="nofollow"&gt;Something&lt;/a&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/Herman%20Klein"&gt;Herman Klein&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/36edo/hay.mp3" rel="nofollow"&gt;Hay&lt;/a&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/Joe%20Hayseed"&gt;Joe Hayseed&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/36edo/boomers.mp3" rel="nofollow"&gt;Boomers&lt;/a&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/Ivan%20Bratt"&gt;Ivan Bratt&lt;/a&gt;&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/custom/9486498?h=0&amp;amp;w=0&amp;quot; class=&amp;quot;WikiMedia WikiMediaCustom&amp;quot; id=&amp;quot;wikitext@@media@@type=&amp;amp;quot;custom&amp;amp;quot; key=&amp;amp;quot;9486498&amp;amp;quot;&amp;quot; title=&amp;quot;Custom Media&amp;quot;/&amp;gt; --&gt;&lt;script type="text/javascript" src="http://webplayer.yahooapis.com/player.js"&gt;
+&lt;table class="wiki_table"&gt;
+    &lt;tr&gt;
+        &lt;th&gt;Degrees of 36edo&lt;br /&gt;
+&lt;/th&gt;
+        &lt;th&gt;Cents Value&lt;br /&gt;
+&lt;/th&gt;
+        &lt;th&gt;Approx. ratios of 2.3.7&lt;br /&gt;
+&lt;/th&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: left;"&gt;0&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;0&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;1/1&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: left;"&gt;1&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;33.333&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;64/63 ~ 49/48&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: left;"&gt;2&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;66.667&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;28/27&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: left;"&gt;3&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;100&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: left;"&gt;4&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;133.333&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: left;"&gt;5&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;166.667&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: left;"&gt;6&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;200&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;9/8&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: left;"&gt;7&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;233.333&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;8/7&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: left;"&gt;8&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;266.667&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;7/6&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: left;"&gt;9&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;300&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;32/37&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: left;"&gt;10&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;333.333&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: left;"&gt;11&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;366.667&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: left;"&gt;12&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;400&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;81/64&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: left;"&gt;13&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;433.333&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;9/7&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: left;"&gt;14&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;466.667&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;64/49 ~ 21/16&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: left;"&gt;15&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;500&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;4/3&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: left;"&gt;16&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;533.333&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;49/36&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: left;"&gt;17&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;566.667&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: left;"&gt;18&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;600&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: left;"&gt;19&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;633.333&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: left;"&gt;20&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;666.667&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;72/49&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: left;"&gt;21&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;700&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;3/2&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: left;"&gt;22&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;733.333&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;49/32 ~ 32/21&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: left;"&gt;23&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;766.667&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;14/9&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: left;"&gt;24&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;800&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;128/81&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: left;"&gt;25&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;833.333&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: left;"&gt;26&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;866.667&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: left;"&gt;27&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;900&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;27/16&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: left;"&gt;28&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;933.333&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;12/7&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: left;"&gt;29&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;966.667&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;7/4&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: left;"&gt;30&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;1000&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;16/9&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: left;"&gt;31&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;1033.333&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: left;"&gt;32&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;1066.667&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: left;"&gt;33&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;1100&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: left;"&gt;34&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;1133.333&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;27/14&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: left;"&gt;35&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;1166.667&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;63/32 ~ 96/49&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+&lt;/table&gt;
+&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:13:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc6"&gt;&lt;a name="M37usic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:13 --&gt;M37usic&lt;/h1&gt;
+  &lt;ul&gt;&lt;li&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;3&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/36edo/something.mp3" rel="nofollow"&gt;Something&lt;/a&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/Herman%20Klein"&gt;Herman Klein&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/36edo/hay.mp3" rel="nofollow"&gt;Hay&lt;/a&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/Joe%20Hayseed"&gt;Joe Hayseed&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/36edo/boomers.mp3" rel="nofollow"&gt;Boomers&lt;/a&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="/Ivan%20Bratt"&gt;Ivan Bratt&lt;/a&gt;&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/custom/9486498?h=0&amp;amp;w=0&amp;quot; class=&amp;quot;WikiMedia WikiMediaCustom&amp;quot; id=&amp;quot;wikitext@@media@@type=&amp;amp;quot;custom&amp;amp;quot; key=&amp;amp;quot;9486498&amp;amp;quot;&amp;quot; title=&amp;quot;Custom Media&amp;quot;/&amp;gt; --&gt;&lt;script type="text/javascript" src="http://webplayer.yahooapis.com/player.js"&gt;
 &lt;/script&gt;&lt;!-- ws:end:WikiTextMediaRule:0 --&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/36edo/20120418-36edo.mp3" rel="nofollow"&gt;Thoughts in Legolas Tuning&lt;/a&gt; by &lt;a class="wiki_link" href="/Chris%20Vaisvil"&gt;Chris Vaisvil&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>