10edo: Difference between revisions

Revision as of 17:43, 31 May 2011

IMPORTED REVISION FROM WIKISPACES

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The original revision id was 233289894.

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Original Wikitext content:

10edo, or 10-tone equal temperament, is a tuning system which divides the [[octave]] into 10 equal parts of exactly 120 [[cent]]s. It can be thought of as two circles of [[5edo]] separated by 120 cents (or 5 circles of [[2edo]]). It adds to 5edo a small neutral second and its inversion a large neutral seventh; an excellent approximation of [[13_8|13/8]] and its inversion [[16_13|16/13]]; and the droll 600-cent tritone that appears in every even-numbered EDO. Taking the the 360 cent large neutral third as a generator produces a heptatonic [[MOSScales|moment of symmetry scale]] of the form 1 2 1 2 1 2 1.
=== === 
===Intervals=== 
|| degrees of 10edo || cents value ||
|| 0 || 0 ||
|| 1 || 120 ||
|| 2 || 240 ||
|| 3 || 360 ||
|| 4 || 480 ||
|| 5 || 600 ||
|| 6 || 720 ||
|| 7 || 840 ||
|| 8 || 960 ||
|| 9 || 1080 ||


===Music=== 
[[http://eceserv0.ece.wisc.edu/%7Esethares/xentone.html|Ten Fingers]] by Bill Sethares (synth guitar)
[[http://eceserv0.ece.wisc.edu/%7Esethares/xentone.html|Circle of Thirds]] by Bill Sethares (synth ens.)
[[http://www.akjmusic.com/works.html|10_fantasy]] by Aaron K. Johnson (synth monody)
[[http://www.ziaspace.com/ZIA/mp3s/Future.html|Future]] and [[http://www.ziaspace.com/ZIA/mp3s/Sol.html|Sol]] by ZIA (synths and voice in 10)
[[http://azuma-asobi.com/Music/RhinoPrelude-2003-02-22.mp3|Prelude]] by Rick McGowan (Rhino synthesizer)
[[http://soundclick.com/share?songid=5683815|Ideas on the Waterfall of Expression]] by Iglashion Jones (synth)

==Commas== 
10 EDO tempers out the following commas. (Note: This assumes the val < 10 16 23 28 35 37 |.)

||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 ||
||= 256/243 || | 8 -5 > ||> 90.22 ||= Limma ||= Pythagorean Minor 2nd ||   ||
||= 16875/16384 || | -14 3 4 > ||> 51.12 ||= Negri Comma ||= Double Augmentation Diesis ||   ||
||= 9931568/9752117 || | -25 7 6 > ||> 31.57 ||= Ampersand's Comma ||=   ||   ||
||= 2048/2025 || | 11 -4 -2 > ||> 19.55 ||= Diaschisma ||=   ||   ||
||= 525/512 || | -9 1 2 1 > ||> 43.41 ||= Avicennma ||= Avicenna's Enharmonic Diesis ||   ||
||= 49/48 || | -4 -1 2 > ||> 35.70 ||= Slendro Diesis ||=   ||   ||
||= 50/49 || | 1 2 -2 > ||> 34.98 ||= Tritonic Diesis ||= Jubilisma ||   ||
||= 686/675 || | 1 -3 -2 3 > ||> 27.99 ||= Senga ||=   ||   ||
||= 64/63 || | 6 -2 0 -1 > ||> 27.26 ||= Septimal Comma ||= Archytas' Comma || Leipziger Komma ||
||= 9859966/9733137 || | -10 7 8 -7 > ||> 22.41 ||= Blackjackisma ||=   ||   ||
||= 1029/1024 || | -10 1 0 3 > ||> 8.43 ||= Gamelisma ||=   ||   ||
||= 225/224 || | -5 2 2 -1 > ||> 7.71 ||= Septimal Kleisma ||= Marvel Comma ||   ||
||= 16875/16807 || | 3 4 -5 > ||> 6.99 ||= Mirkwai ||=   ||   ||
||= 6772805/6751042 || | 11 -10 -10 10 > ||> 5.57 ||= Linus ||=   ||   ||
||= 2401/2400 || | -5 -1 -2 4 > ||> 0.72 ||= Breedsma ||=   ||   ||
||= 243/242 || | -1 5 -2 > ||> 7.14 ||= Rastma ||=   ||   ||
||= 385/384 || | -7 -1 1 1 1 > ||> 4.50 ||= Keenanisma ||=   ||   ||
||= 441/440 || | -3 2 -1 2 -1 > ||> 3.93 ||= Werckisma ||=   ||   ||
||= 540/539 || | 2 3 1 -2 -1 > ||> 3.21 ||= Swetisma ||=   ||   ||
||= 3025/3024 || | -4 -3 2 -1 2 > ||> 0.57 ||= Lehmerisma ||=   ||   ||
||= 91/90 || | -1 -2 -1 1 1 > ||> 19.13 ||= Superleap ||=   ||   ||
||= 676/675 || | 2 -3 -2 2 > ||> 2.56 ||= Parizeksma ||=   ||   ||

Original HTML content:

<html><head><title>10edo</title></head><body>10edo, or 10-tone equal temperament, is a tuning system which divides the <a class="wiki_link" href="/octave">octave</a> into 10 equal parts of exactly 120 <a class="wiki_link" href="/cent">cent</a>s. It can be thought of as two circles of <a class="wiki_link" href="/5edo">5edo</a> separated by 120 cents (or 5 circles of <a class="wiki_link" href="/2edo">2edo</a>). It adds to 5edo a small neutral second and its inversion a large neutral seventh; an excellent approximation of <a class="wiki_link" href="/13_8">13/8</a> and its inversion <a class="wiki_link" href="/16_13">16/13</a>; and the droll 600-cent tritone that appears in every even-numbered EDO. Taking the the 360 cent large neutral third as a generator produces a heptatonic <a class="wiki_link" href="/MOSScales">moment of symmetry scale</a> of the form 1 2 1 2 1 2 1.<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h3&gt; --><h3 id="toc0"><!-- ws:end:WikiTextHeadingRule:0 --> </h3>
 <!-- ws:start:WikiTextHeadingRule:2:&lt;h3&gt; --><h3 id="toc1"><a name="x--Intervals"></a><!-- ws:end:WikiTextHeadingRule:2 -->Intervals</h3>
 

<table class="wiki_table">
    <tr>
        <td>degrees of 10edo<br />
</td>
        <td>cents value<br />
</td>
    </tr>
    <tr>
        <td>0<br />
</td>
        <td>0<br />
</td>
    </tr>
    <tr>
        <td>1<br />
</td>
        <td>120<br />
</td>
    </tr>
    <tr>
        <td>2<br />
</td>
        <td>240<br />
</td>
    </tr>
    <tr>
        <td>3<br />
</td>
        <td>360<br />
</td>
    </tr>
    <tr>
        <td>4<br />
</td>
        <td>480<br />
</td>
    </tr>
    <tr>
        <td>5<br />
</td>
        <td>600<br />
</td>
    </tr>
    <tr>
        <td>6<br />
</td>
        <td>720<br />
</td>
    </tr>
    <tr>
        <td>7<br />
</td>
        <td>840<br />
</td>
    </tr>
    <tr>
        <td>8<br />
</td>
        <td>960<br />
</td>
    </tr>
    <tr>
        <td>9<br />
</td>
        <td>1080<br />
</td>
    </tr>
</table>

<br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h3&gt; --><h3 id="toc2"><a name="x--Music"></a><!-- ws:end:WikiTextHeadingRule:4 -->Music</h3>
 <a class="wiki_link_ext" href="http://eceserv0.ece.wisc.edu/%7Esethares/xentone.html" rel="nofollow">Ten Fingers</a> by Bill Sethares (synth guitar)<br />
<a class="wiki_link_ext" href="http://eceserv0.ece.wisc.edu/%7Esethares/xentone.html" rel="nofollow">Circle of Thirds</a> by Bill Sethares (synth ens.)<br />
<a class="wiki_link_ext" href="http://www.akjmusic.com/works.html" rel="nofollow">10_fantasy</a> by Aaron K. Johnson (synth monody)<br />
<a class="wiki_link_ext" href="http://www.ziaspace.com/ZIA/mp3s/Future.html" rel="nofollow">Future</a> and <a class="wiki_link_ext" href="http://www.ziaspace.com/ZIA/mp3s/Sol.html" rel="nofollow">Sol</a> by ZIA (synths and voice in 10)<br />
<a class="wiki_link_ext" href="http://azuma-asobi.com/Music/RhinoPrelude-2003-02-22.mp3" rel="nofollow">Prelude</a> by Rick McGowan (Rhino synthesizer)<br />
<a class="wiki_link_ext" href="http://soundclick.com/share?songid=5683815" rel="nofollow">Ideas on the Waterfall of Expression</a> by Iglashion Jones (synth)<br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="x-Commas"></a><!-- ws:end:WikiTextHeadingRule:6 -->Commas</h2>
 10 EDO tempers out the following commas. (Note: This assumes the val &lt; 10 16 23 28 35 37 |.)<br />
<br />


<table class="wiki_table">
    <tr>
        <th>Comma<br />
</th>
        <th>Monzo<br />
</th>
        <th>Value (Cents)<br />
</th>
        <th>Name 1<br />
</th>
        <th>Name 2<br />
</th>
        <th>Name 3<br />
</th>
    </tr>
    <tr>
        <td style="text-align: center;">256/243<br />
</td>
        <td>| 8 -5 &gt;<br />
</td>
        <td style="text-align: right;">90.22<br />
</td>
        <td style="text-align: center;">Limma<br />
</td>
        <td style="text-align: center;">Pythagorean Minor 2nd<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">16875/16384<br />
</td>
        <td>| -14 3 4 &gt;<br />
</td>
        <td style="text-align: right;">51.12<br />
</td>
        <td style="text-align: center;">Negri Comma<br />
</td>
        <td style="text-align: center;">Double Augmentation Diesis<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">9931568/9752117<br />
</td>
        <td>| -25 7 6 &gt;<br />
</td>
        <td style="text-align: right;">31.57<br />
</td>
        <td style="text-align: center;">Ampersand's Comma<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">2048/2025<br />
</td>
        <td>| 11 -4 -2 &gt;<br />
</td>
        <td style="text-align: right;">19.55<br />
</td>
        <td style="text-align: center;">Diaschisma<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">525/512<br />
</td>
        <td>| -9 1 2 1 &gt;<br />
</td>
        <td style="text-align: right;">43.41<br />
</td>
        <td style="text-align: center;">Avicennma<br />
</td>
        <td style="text-align: center;">Avicenna's Enharmonic Diesis<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">49/48<br />
</td>
        <td>| -4 -1 2 &gt;<br />
</td>
        <td style="text-align: right;">35.70<br />
</td>
        <td style="text-align: center;">Slendro Diesis<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">50/49<br />
</td>
        <td>| 1 2 -2 &gt;<br />
</td>
        <td style="text-align: right;">34.98<br />
</td>
        <td style="text-align: center;">Tritonic Diesis<br />
</td>
        <td style="text-align: center;">Jubilisma<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">686/675<br />
</td>
        <td>| 1 -3 -2 3 &gt;<br />
</td>
        <td style="text-align: right;">27.99<br />
</td>
        <td style="text-align: center;">Senga<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">64/63<br />
</td>
        <td>| 6 -2 0 -1 &gt;<br />
</td>
        <td style="text-align: right;">27.26<br />
</td>
        <td style="text-align: center;">Septimal Comma<br />
</td>
        <td style="text-align: center;">Archytas' Comma<br />
</td>
        <td>Leipziger Komma<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">9859966/9733137<br />
</td>
        <td>| -10 7 8 -7 &gt;<br />
</td>
        <td style="text-align: right;">22.41<br />
</td>
        <td style="text-align: center;">Blackjackisma<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">1029/1024<br />
</td>
        <td>| -10 1 0 3 &gt;<br />
</td>
        <td style="text-align: right;">8.43<br />
</td>
        <td style="text-align: center;">Gamelisma<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">225/224<br />
</td>
        <td>| -5 2 2 -1 &gt;<br />
</td>
        <td style="text-align: right;">7.71<br />
</td>
        <td style="text-align: center;">Septimal Kleisma<br />
</td>
        <td style="text-align: center;">Marvel Comma<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">16875/16807<br />
</td>
        <td>| 3 4 -5 &gt;<br />
</td>
        <td style="text-align: right;">6.99<br />
</td>
        <td style="text-align: center;">Mirkwai<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">6772805/6751042<br />
</td>
        <td>| 11 -10 -10 10 &gt;<br />
</td>
        <td style="text-align: right;">5.57<br />
</td>
        <td style="text-align: center;">Linus<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">2401/2400<br />
</td>
        <td>| -5 -1 -2 4 &gt;<br />
</td>
        <td style="text-align: right;">0.72<br />
</td>
        <td style="text-align: center;">Breedsma<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">243/242<br />
</td>
        <td>| -1 5 -2 &gt;<br />
</td>
        <td style="text-align: right;">7.14<br />
</td>
        <td style="text-align: center;">Rastma<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">385/384<br />
</td>
        <td>| -7 -1 1 1 1 &gt;<br />
</td>
        <td style="text-align: right;">4.50<br />
</td>
        <td style="text-align: center;">Keenanisma<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">441/440<br />
</td>
        <td>| -3 2 -1 2 -1 &gt;<br />
</td>
        <td style="text-align: right;">3.93<br />
</td>
        <td style="text-align: center;">Werckisma<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">540/539<br />
</td>
        <td>| 2 3 1 -2 -1 &gt;<br />
</td>
        <td style="text-align: right;">3.21<br />
</td>
        <td style="text-align: center;">Swetisma<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3025/3024<br />
</td>
        <td>| -4 -3 2 -1 2 &gt;<br />
</td>
        <td style="text-align: right;">0.57<br />
</td>
        <td style="text-align: center;">Lehmerisma<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">91/90<br />
</td>
        <td>| -1 -2 -1 1 1 &gt;<br />
</td>
        <td style="text-align: right;">19.13<br />
</td>
        <td style="text-align: center;">Superleap<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">676/675<br />
</td>
        <td>| 2 -3 -2 2 &gt;<br />
</td>
        <td style="text-align: right;">2.56<br />
</td>
        <td style="text-align: center;">Parizeksma<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td><br />
</td>
    </tr>
</table>

</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:jdfreivald|jdfreivald]] and made on <tt>2011-05-31 17:42:06 UTC</tt>.<br>
+: This revision was by author [[User:jdfreivald|jdfreivald]] and made on <tt>2011-05-31 17:43:11 UTC</tt>.<br>
-: The original revision id was <tt>233289618</tt>.<br>
+: The original revision id was <tt>233289894</tt>.<br>
-: The revision comment was: <tt>Added comma table.</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>
@@ Line 33: / Line 33: @@
 EDO tempers out the following commas. (Note: This assumes the val &lt; 10 16 23 28 35 37 |.)
-|| Comma || Monzo || Value (Cents) || Name 1 || Name 2 || Name 3 ||
+||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 ||
-|| 256/243 || | 8 -5 &gt; || 90.22 || Limma || Pythagorean Minor 2nd ||   ||
+||= 256/243 || | 8 -5 &gt; ||&gt; 90.22 ||= Limma ||= Pythagorean Minor 2nd ||   ||
-|| 16875/16384 || | -14 3 4 &gt; || 51.12 || Negri Comma || Double Augmentation Diesis ||   ||
+||= 16875/16384 || | -14 3 4 &gt; ||&gt; 51.12 ||= Negri Comma ||= Double Augmentation Diesis ||   ||
-|| 9931568/9752117 || | -25 7 6 &gt; || 31.57 || Ampersand's Comma ||   ||   ||
+||= 9931568/9752117 || | -25 7 6 &gt; ||&gt; 31.57 ||= Ampersand's Comma ||=   ||   ||
-|| 2048/2025 || | 11 -4 -2 &gt; || 19.55 || Diaschisma ||   ||   ||
+||= 2048/2025 || | 11 -4 -2 &gt; ||&gt; 19.55 ||= Diaschisma ||=   ||   ||
-|| 525/512 || | -9 1 2 1 &gt; || 43.41 || Avicennma || Avicenna's Enharmonic Diesis ||   ||
+||= 525/512 || | -9 1 2 1 &gt; ||&gt; 43.41 ||= Avicennma ||= Avicenna's Enharmonic Diesis ||   ||
-|| 49/48 || | -4 -1 2 &gt; || 35.70 || Slendro Diesis ||   ||   ||
+||= 49/48 || | -4 -1 2 &gt; ||&gt; 35.70 ||= Slendro Diesis ||=   ||   ||
-|| 50/49 || | 1 2 -2 &gt; || 34.98 || Tritonic Diesis || Jubilisma ||   ||
+||= 50/49 || | 1 2 -2 &gt; ||&gt; 34.98 ||= Tritonic Diesis ||= Jubilisma ||   ||
-|| 686/675 || | 1 -3 -2 3 &gt; || 27.99 || Senga ||   ||   ||
+||= 686/675 || | 1 -3 -2 3 &gt; ||&gt; 27.99 ||= Senga ||=   ||   ||
-|| 64/63 || | 6 -2 0 -1 &gt; || 27.26 || Septimal Comma || Archytas' Comma || Leipziger Komma ||
+||= 64/63 || | 6 -2 0 -1 &gt; ||&gt; 27.26 ||= Septimal Comma ||= Archytas' Comma || Leipziger Komma ||
-|| 9859966/9733137 || | -10 7 8 -7 &gt; || 22.41 || Blackjackisma ||   ||   ||
+||= 9859966/9733137 || | -10 7 8 -7 &gt; ||&gt; 22.41 ||= Blackjackisma ||=   ||   ||
-|| 1029/1024 || | -10 1 0 3 &gt; || 8.43 || Gamelisma ||   ||   ||
+||= 1029/1024 || | -10 1 0 3 &gt; ||&gt; 8.43 ||= Gamelisma ||=   ||   ||
-|| 225/224 || | -5 2 2 -1 &gt; || 7.71 || Septimal Kleisma || Marvel Comma ||   ||
+||= 225/224 || | -5 2 2 -1 &gt; ||&gt; 7.71 ||= Septimal Kleisma ||= Marvel Comma ||   ||
-|| 16875/16807 || | 3 4 -5 &gt; || 6.99 || Mirkwai ||   ||   ||
+||= 16875/16807 || | 3 4 -5 &gt; ||&gt; 6.99 ||= Mirkwai ||=   ||   ||
-|| 6772805/6751042 || | 11 -10 -10 10 &gt; || 5.57 || Linus ||   ||   ||
+||= 6772805/6751042 || | 11 -10 -10 10 &gt; ||&gt; 5.57 ||= Linus ||=   ||   ||
-|| 2401/2400 || | -5 -1 -2 4 &gt; || 0.72 || Breedsma ||   ||   ||
+||= 2401/2400 || | -5 -1 -2 4 &gt; ||&gt; 0.72 ||= Breedsma ||=   ||   ||
-|| 243/242 || | -1 5 -2 &gt; || 7.14 || Rastma ||   ||   ||
+||= 243/242 || | -1 5 -2 &gt; ||&gt; 7.14 ||= Rastma ||=   ||   ||
-|| 385/384 || | -7 -1 1 1 1 &gt; || 4.50 || Keenanisma ||   ||   ||
+||= 385/384 || | -7 -1 1 1 1 &gt; ||&gt; 4.50 ||= Keenanisma ||=   ||   ||
-|| 441/440 || | -3 2 -1 2 -1 &gt; || 3.93 || Werckisma ||   ||   ||
+||= 441/440 || | -3 2 -1 2 -1 &gt; ||&gt; 3.93 ||= Werckisma ||=   ||   ||
-|| 540/539 || | 2 3 1 -2 -1 &gt; || 3.21 || Swetisma ||   ||   ||
+||= 540/539 || | 2 3 1 -2 -1 &gt; ||&gt; 3.21 ||= Swetisma ||=   ||   ||
-|| 3025/3024 || | -4 -3 2 -1 2 &gt; || 0.57 || Lehmerisma ||   ||   ||
+||= 3025/3024 || | -4 -3 2 -1 2 &gt; ||&gt; 0.57 ||= Lehmerisma ||=   ||   ||
-|| 91/90 || | -1 -2 -1 1 1 &gt; || 19.13 || Superleap ||   ||   ||
+||= 91/90 || | -1 -2 -1 1 1 &gt; ||&gt; 19.13 ||= Superleap ||=   ||   ||
-|| 676/675 || | 2 -3 -2 2 &gt; || 2.56 || Parizeksma ||   ||   ||</pre></div>
+||= 676/675 || | 2 -3 -2 2 &gt; ||&gt; 2.56 ||= Parizeksma ||=   ||   ||</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;10edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;10edo, or 10-tone equal temperament, is a tuning system which divides the &lt;a class="wiki_link" href="/octave"&gt;octave&lt;/a&gt; into 10 equal parts of exactly 120 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s. It can be thought of as two circles of &lt;a class="wiki_link" href="/5edo"&gt;5edo&lt;/a&gt; separated by 120 cents (or 5 circles of &lt;a class="wiki_link" href="/2edo"&gt;2edo&lt;/a&gt;). It adds to 5edo a small neutral second and its inversion a large neutral seventh; an excellent approximation of &lt;a class="wiki_link" href="/13_8"&gt;13/8&lt;/a&gt; and its inversion &lt;a class="wiki_link" href="/16_13"&gt;16/13&lt;/a&gt;; and the droll 600-cent tritone that appears in every even-numbered EDO. Taking the the 360 cent large neutral third as a generator produces a heptatonic &lt;a class="wiki_link" href="/MOSScales"&gt;moment of symmetry scale&lt;/a&gt; of the form 1 2 1 2 1 2 1.&lt;br /&gt;
@@ Line 148: / Line 148: @@
 &lt;table class="wiki_table"&gt;
      &lt;tr&gt;
-         &lt;td&gt;Comma&lt;br /&gt;
+         &lt;th&gt;Comma&lt;br /&gt;
-&lt;/td&gt;
+&lt;/th&gt;
-         &lt;td&gt;Monzo&lt;br /&gt;
+         &lt;th&gt;Monzo&lt;br /&gt;
-&lt;/td&gt;
+&lt;/th&gt;
-         &lt;td&gt;Value (Cents)&lt;br /&gt;
+         &lt;th&gt;Value (Cents)&lt;br /&gt;
-&lt;/td&gt;
+&lt;/th&gt;
-         &lt;td&gt;Name 1&lt;br /&gt;
+         &lt;th&gt;Name 1&lt;br /&gt;
-&lt;/td&gt;
+&lt;/th&gt;
-         &lt;td&gt;Name 2&lt;br /&gt;
+         &lt;th&gt;Name 2&lt;br /&gt;
-&lt;/td&gt;
+&lt;/th&gt;
-         &lt;td&gt;Name 3&lt;br /&gt;
+         &lt;th&gt;Name 3&lt;br /&gt;
-&lt;/td&gt;
+&lt;/th&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;256/243&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;256/243&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;| 8 -5 &amp;gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;90.22&lt;br /&gt;
+         &lt;td style="text-align: right;"&gt;90.22&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Limma&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Limma&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Pythagorean Minor 2nd&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Pythagorean Minor 2nd&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 176: / Line 176: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;16875/16384&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;16875/16384&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;| -14 3 4 &amp;gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;51.12&lt;br /&gt;
+         &lt;td style="text-align: right;"&gt;51.12&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Negri Comma&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Negri Comma&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Double Augmentation Diesis&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Double Augmentation Diesis&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 190: / Line 190: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;9931568/9752117&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;9931568/9752117&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;| -25 7 6 &amp;gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;31.57&lt;br /&gt;
+         &lt;td style="text-align: right;"&gt;31.57&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Ampersand's Comma&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Ampersand's Comma&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 204: / Line 204: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;2048/2025&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;2048/2025&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;| 11 -4 -2 &amp;gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;19.55&lt;br /&gt;
+         &lt;td style="text-align: right;"&gt;19.55&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Diaschisma&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Diaschisma&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 218: / Line 218: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;525/512&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;525/512&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;| -9 1 2 1 &amp;gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;43.41&lt;br /&gt;
+         &lt;td style="text-align: right;"&gt;43.41&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Avicennma&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Avicennma&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Avicenna's Enharmonic Diesis&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Avicenna's Enharmonic Diesis&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 232: / Line 232: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;49/48&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;49/48&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;| -4 -1 2 &amp;gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;35.70&lt;br /&gt;
+         &lt;td style="text-align: right;"&gt;35.70&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Slendro Diesis&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Slendro Diesis&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 246: / Line 246: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;50/49&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;50/49&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;| 1 2 -2 &amp;gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;34.98&lt;br /&gt;
+         &lt;td style="text-align: right;"&gt;34.98&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Tritonic Diesis&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Tritonic Diesis&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Jubilisma&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Jubilisma&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 260: / Line 260: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;686/675&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;686/675&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;| 1 -3 -2 3 &amp;gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;27.99&lt;br /&gt;
+         &lt;td style="text-align: right;"&gt;27.99&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Senga&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Senga&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 274: / Line 274: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;64/63&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;64/63&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;| 6 -2 0 -1 &amp;gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;27.26&lt;br /&gt;
+         &lt;td style="text-align: right;"&gt;27.26&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Septimal Comma&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Septimal Comma&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Archytas' Comma&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Archytas' Comma&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;Leipziger Komma&lt;br /&gt;
@@ Line 288: / Line 288: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;9859966/9733137&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;9859966/9733137&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;| -10 7 8 -7 &amp;gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;22.41&lt;br /&gt;
+         &lt;td style="text-align: right;"&gt;22.41&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Blackjackisma&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Blackjackisma&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 302: / Line 302: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;1029/1024&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;1029/1024&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;| -10 1 0 3 &amp;gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;8.43&lt;br /&gt;
+         &lt;td style="text-align: right;"&gt;8.43&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Gamelisma&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Gamelisma&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 316: / Line 316: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;225/224&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;225/224&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;| -5 2 2 -1 &amp;gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;7.71&lt;br /&gt;
+         &lt;td style="text-align: right;"&gt;7.71&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Septimal Kleisma&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Septimal Kleisma&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Marvel Comma&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Marvel Comma&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 330: / Line 330: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;16875/16807&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;16875/16807&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;| 3 4 -5 &amp;gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;6.99&lt;br /&gt;
+         &lt;td style="text-align: right;"&gt;6.99&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Mirkwai&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Mirkwai&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 344: / Line 344: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;6772805/6751042&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;6772805/6751042&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;| 11 -10 -10 10 &amp;gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;5.57&lt;br /&gt;
+         &lt;td style="text-align: right;"&gt;5.57&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Linus&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Linus&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 358: / Line 358: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;2401/2400&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;2401/2400&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;| -5 -1 -2 4 &amp;gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;0.72&lt;br /&gt;
+         &lt;td style="text-align: right;"&gt;0.72&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Breedsma&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Breedsma&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 372: / Line 372: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;243/242&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;243/242&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;| -1 5 -2 &amp;gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;7.14&lt;br /&gt;
+         &lt;td style="text-align: right;"&gt;7.14&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Rastma&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Rastma&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 386: / Line 386: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;385/384&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;385/384&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;| -7 -1 1 1 1 &amp;gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;4.50&lt;br /&gt;
+         &lt;td style="text-align: right;"&gt;4.50&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Keenanisma&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Keenanisma&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 400: / Line 400: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;441/440&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;441/440&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;| -3 2 -1 2 -1 &amp;gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;3.93&lt;br /&gt;
+         &lt;td style="text-align: right;"&gt;3.93&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Werckisma&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Werckisma&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 414: / Line 414: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;540/539&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;540/539&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;| 2 3 1 -2 -1 &amp;gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;3.21&lt;br /&gt;
+         &lt;td style="text-align: right;"&gt;3.21&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Swetisma&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Swetisma&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 428: / Line 428: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;3025/3024&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;3025/3024&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;| -4 -3 2 -1 2 &amp;gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;0.57&lt;br /&gt;
+         &lt;td style="text-align: right;"&gt;0.57&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Lehmerisma&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Lehmerisma&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 442: / Line 442: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;91/90&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;91/90&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;| -1 -2 -1 1 1 &amp;gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;19.13&lt;br /&gt;
+         &lt;td style="text-align: right;"&gt;19.13&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Superleap&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Superleap&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 456: / Line 456: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;676/675&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;676/675&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;| 2 -3 -2 2 &amp;gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;2.56&lt;br /&gt;
+         &lt;td style="text-align: right;"&gt;2.56&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Parizeksma&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Parizeksma&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;

10edo: Difference between revisions

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