30edo: Difference between revisions

Revision as of 03:39, 26 December 2016

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The //30 equal division// divides the octave into 30 equal steps of precisely 40 cents each. Its [[patent val]] is a doubled version of the patent val for [[15edo]] through the 11-limit, so 30 can be viewed as a [[contorted]] version of 15. In the 13-limit it supplies the optimal patent val for [[Trienstonic clan#Quindecic|quindecic temperament]].

However, 5\30 is 200 cents, which is a good (and familiar) approximation for 9/8, and hence 30 can be viewed inconsistently, as having a 9' at 95\30 as well as a 9 at 96\30. Instead of the 18\30 fifth of 720 cents, 30 also makes available a 17\30 fifth of 680 cents. This is an ideal tuning for pelogic (5-limit mavila), which tempers out 135/128. When 30 is used for pelogic, 5\30 can again be used inconsistently as a 9/8.

Below is a plot of the Z function around 30:

[[image:plot30.png]]


==Intervals== 
||= **Step** ||= **Cents** ||||||= [[xenharmonic/Ups and Downs Notation|ups and downs]][[xenharmonic/Ups and Downs Notation| notation]] ||
||= 0 ||= 0¢ ||= P1 ||= unison ||= D ||
||= 1 ||= 40 ||= ^1, ^m2 ||= up unison, upminor 2nd ||= D^, Eb^ ||
||= 2 ||= 80 ||= ^^1, v~2 ||= double-up unison, downmid 2nd ||= D^^, Eb^^ ||
||= 3 ||= 120 ||= ~2 ||= mid 2nd ||= Ev<span style="font-size: 90%; vertical-align: super;">3</span> ||
||= 4 ||= 160 ||= ^~2 ||= upmid 2nd ||= Evv ||
||= 5 ||= 200 ||= vM2 ||= downmajor 2nd ||= Ev ||
||= 6 ||= 240 ||= M2, m3 ||= major 2nd, minor 3rd ||= E, F ||
||= 7 ||= 280 ||= ^m3 ||= upminor 3rd ||= F^ ||
||= 8 ||= 320 ||= v~3 ||= downmid 3rd ||= F^^ ||
||= 9 ||= 360 ||= ~3 ||= mid 3rd ||= F^<span style="font-size: 90%; vertical-align: super;">3</span><span style="font-size: 90%; vertical-align: super;"> </span> ||
||= 10 ||= 400 ||= ^~3 ||= upmid 3rd ||= F#vv ||
||= 11 ||= 440 ||= vM3, v4 ||= downmajor 3rd, down 4th ||= F#v, Gv ||
||= 12 ||= 480 ||= P4 ||= perfect 4th ||= G ||
||= 13 ||= 520 ||= ^4, ^d5 ||= up 4th, updim 5th ||= G^, Ab^ ||
||= 14 ||= 560 ||= ^^4, ^^d5 ||= double-up 4th, double-up dim 5th ||= G^^, Ab^^ ||
||= 15 ||= 600 ||= ^<span style="font-size: 90%; vertical-align: super;">3</span>4, v<span style="font-size: 90%; vertical-align: super;">3</span>5 ||= triple-up 4th, triple-down 5th ||= G^3, Av3 ||
||= 16 ||= 640 ||= vvA4, vv5 ||= double-down aug 4th, double-down 5th ||= G#vv, Avv ||
||= 17 ||= 680 ||= vA4, v5 ||= downaug 4th, down 5th ||= G#v, Av ||
||= 18 ||= 720 ||= P5 ||= perfect 5th ||= A ||
||= 19 ||= 760 ||= ^5, ^m6 ||= up 5th, upminor 6th ||= A^, Bb^ ||
||= 20 ||= 800 ||= v~6 ||= downmid 6th ||= Bb^^ ||
||= 21 ||= 840 ||= ~6 ||= mid 6th ||= Bv<span style="font-size: 90%; vertical-align: super;">3</span> ||
||= 22 ||= 880 ||= ^~6 ||= upmid 6th ||= Bvv ||
||= 23 ||= 920 ||= vM6 ||= downmajor 6th ||= Bv ||
||= 24 ||= 960 ||= M6. m7 ||= major 6th, minor 7th ||= B, C ||
||= 25 ||= 1000 ||= ^m7 ||= upminor 7th ||= C^ ||
||= 26 ||= 1040 ||= v~7 ||= downmid 7th ||= C^^ ||
||= 27 ||= 1080 ||= ~7 ||= mid 7th ||= C^<span style="font-size: 90%; vertical-align: super;">3</span> ||
||= 28 ||= 1120 ||= ^~7, vv8 ||= upmid 7th, double-down 8ve ||= C#vv, Dvv ||
||= 29 ||= 1160 ||= vM7, v8 ||= downmajor 7th, down 8ve ||= C#v, Dv ||
||= 30 ||= 1200 ||= P8 ||= 8ve ||= D ||

=Commas= 
30 EDO tempers out the following commas. (Note: This assumes the val < 30 48 70 84 104 111/1 | .)
||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 ||
||= 256/243 ||< | 8 -5 > ||> 90.22 ||= Limma ||= Pythagorean Minor 2nd ||=   ||
||= 250/243 ||< | 1 -5 3 > ||> 49.17 ||= Maximal Diesis ||= Porcupine Comma ||=   ||
||= 128/125 ||< | 7 0 -3 > ||> 41.06 ||= Diesis ||= Augmented Comma ||=   ||
||= 15625/15552 ||< | -6 -5 6 > ||> 8.11 ||= Kleisma ||= Semicomma Majeur ||=   ||
||= 1029/1000 ||< | -3 1 -3 3 > ||> 49.49 ||= Keega ||=   ||=   ||
||= 49/48 ||< | -4 -1 0 2 > ||> 35.70 ||= Slendro Diesis ||=   ||=   ||
||= 64/63 ||< | 6 -2 0 -1 > ||> 27.26 ||= Septimal Comma ||= Archytas' Comma ||= Leipziger Komma ||
||= 64827/64000 ||< | -9 3 -3 4 > ||> 22.23 ||= Squalentine ||=   ||=   ||
||= 875/864 ||< | -5 -3 3 1 > ||> 21.90 ||= Keema ||=   ||=   ||
||= 126/125 ||< | 1 2 -3 1 > ||> 13.79 ||= Septimal Semicomma ||= Starling Comma ||=   ||
||= 4000/3969 ||< | 5 -4 3 -2 > ||> 13.47 ||= Octagar ||=   ||=   ||
||= 1029/1024 ||< | -10 1 0 3 > ||> 8.43 ||= Gamelisma ||=   ||=   ||
||= 6144/6125 ||< | 11 1 -3 -2 > ||> 5.36 ||= Porwell ||=   ||=   ||
||=   ||< | -4 6 -6 3 > ||> 0.33 ||= Landscape Comma ||=   ||=   ||
||= 100/99 ||< | 2 -2 2 0 -1 > ||> 17.40 ||= Ptolemisma ||=   ||=   ||
||= 121/120 ||< | -3 -1 -1 0 2 > ||> 14.37 ||= Biyatisma ||=   ||=   ||
||= 176/175 ||< | 4 0 -2 -1 1 > ||> 9.86 ||= Valinorsma ||=   ||=   ||
||= 65536/65219 ||< | 16 0 0 -2 -3 > ||> 8.39 ||= Orgonisma ||=   ||=   ||
||= 385/384 ||< | -7 -1 1 1 1 > ||> 4.50 ||= Keenanisma ||=   ||=   ||
||= 441/440 ||< | -3 2 -1 2 -1 > ||> 3.93 ||= Werckisma ||=   ||=   ||
||= 4000/3993 ||< | 5 -1 3 0 -3 > ||> 3.03 ||= Wizardharry ||=   ||=   ||
||= 3025/3024 ||< | -4 -3 2 -1 2 > ||> 0.57 ||= Lehmerisma ||=   ||=   ||

=Music= 

[[@http://spectropolrecords.bandcamp.com/track/todd-harrop-fifteen-short-pieces|Fifteen Short Pieces]] by <span class="wiki_link_ext">Todd Harrop</span>

Original HTML content:

<html><head><title>30edo</title></head><body>The <em>30 equal division</em> divides the octave into 30 equal steps of precisely 40 cents each. Its <a class="wiki_link" href="/patent%20val">patent val</a> is a doubled version of the patent val for <a class="wiki_link" href="/15edo">15edo</a> through the 11-limit, so 30 can be viewed as a <a class="wiki_link" href="/contorted">contorted</a> version of 15. In the 13-limit it supplies the optimal patent val for <a class="wiki_link" href="/Trienstonic%20clan#Quindecic">quindecic temperament</a>.<br />
<br />
However, 5\30 is 200 cents, which is a good (and familiar) approximation for 9/8, and hence 30 can be viewed inconsistently, as having a 9' at 95\30 as well as a 9 at 96\30. Instead of the 18\30 fifth of 720 cents, 30 also makes available a 17\30 fifth of 680 cents. This is an ideal tuning for pelogic (5-limit mavila), which tempers out 135/128. When 30 is used for pelogic, 5\30 can again be used inconsistently as a 9/8.<br />
<br />
Below is a plot of the Z function around 30:<br />
<br />
<!-- ws:start:WikiTextLocalImageRule:712:&lt;img src=&quot;/file/view/plot30.png/220060356/plot30.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/plot30.png/220060356/plot30.png" alt="plot30.png" title="plot30.png" /><!-- ws:end:WikiTextLocalImageRule:712 --><br />
<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Intervals"></a><!-- ws:end:WikiTextHeadingRule:0 -->Intervals</h2>
 

<table class="wiki_table">
    <tr>
        <td style="text-align: center;"><strong>Step</strong><br />
</td>
        <td style="text-align: center;"><strong>Cents</strong><br />
</td>
        <td colspan="3" style="text-align: center;"><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ups%20and%20Downs%20Notation">ups and downs</a><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ups%20and%20Downs%20Notation"> notation</a><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">0<br />
</td>
        <td style="text-align: center;">0¢<br />
</td>
        <td style="text-align: center;">P1<br />
</td>
        <td style="text-align: center;">unison<br />
</td>
        <td style="text-align: center;">D<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">1<br />
</td>
        <td style="text-align: center;">40<br />
</td>
        <td style="text-align: center;">^1, ^m2<br />
</td>
        <td style="text-align: center;">up unison, upminor 2nd<br />
</td>
        <td style="text-align: center;">D^, Eb^<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">2<br />
</td>
        <td style="text-align: center;">80<br />
</td>
        <td style="text-align: center;">^^1, v~2<br />
</td>
        <td style="text-align: center;">double-up unison, downmid 2nd<br />
</td>
        <td style="text-align: center;">D^^, Eb^^<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3<br />
</td>
        <td style="text-align: center;">120<br />
</td>
        <td style="text-align: center;">~2<br />
</td>
        <td style="text-align: center;">mid 2nd<br />
</td>
        <td style="text-align: center;">Ev<span style="font-size: 90%; vertical-align: super;">3</span><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">4<br />
</td>
        <td style="text-align: center;">160<br />
</td>
        <td style="text-align: center;">^~2<br />
</td>
        <td style="text-align: center;">upmid 2nd<br />
</td>
        <td style="text-align: center;">Evv<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">5<br />
</td>
        <td style="text-align: center;">200<br />
</td>
        <td style="text-align: center;">vM2<br />
</td>
        <td style="text-align: center;">downmajor 2nd<br />
</td>
        <td style="text-align: center;">Ev<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">6<br />
</td>
        <td style="text-align: center;">240<br />
</td>
        <td style="text-align: center;">M2, m3<br />
</td>
        <td style="text-align: center;">major 2nd, minor 3rd<br />
</td>
        <td style="text-align: center;">E, F<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">7<br />
</td>
        <td style="text-align: center;">280<br />
</td>
        <td style="text-align: center;">^m3<br />
</td>
        <td style="text-align: center;">upminor 3rd<br />
</td>
        <td style="text-align: center;">F^<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">8<br />
</td>
        <td style="text-align: center;">320<br />
</td>
        <td style="text-align: center;">v~3<br />
</td>
        <td style="text-align: center;">downmid 3rd<br />
</td>
        <td style="text-align: center;">F^^<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">9<br />
</td>
        <td style="text-align: center;">360<br />
</td>
        <td style="text-align: center;">~3<br />
</td>
        <td style="text-align: center;">mid 3rd<br />
</td>
        <td style="text-align: center;">F^<span style="font-size: 90%; vertical-align: super;">3</span><span style="font-size: 90%; vertical-align: super;"> </span><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">10<br />
</td>
        <td style="text-align: center;">400<br />
</td>
        <td style="text-align: center;">^~3<br />
</td>
        <td style="text-align: center;">upmid 3rd<br />
</td>
        <td style="text-align: center;">F#vv<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">11<br />
</td>
        <td style="text-align: center;">440<br />
</td>
        <td style="text-align: center;">vM3, v4<br />
</td>
        <td style="text-align: center;">downmajor 3rd, down 4th<br />
</td>
        <td style="text-align: center;">F#v, Gv<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">12<br />
</td>
        <td style="text-align: center;">480<br />
</td>
        <td style="text-align: center;">P4<br />
</td>
        <td style="text-align: center;">perfect 4th<br />
</td>
        <td style="text-align: center;">G<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">13<br />
</td>
        <td style="text-align: center;">520<br />
</td>
        <td style="text-align: center;">^4, ^d5<br />
</td>
        <td style="text-align: center;">up 4th, updim 5th<br />
</td>
        <td style="text-align: center;">G^, Ab^<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">14<br />
</td>
        <td style="text-align: center;">560<br />
</td>
        <td style="text-align: center;">^^4, ^^d5<br />
</td>
        <td style="text-align: center;">double-up 4th, double-up dim 5th<br />
</td>
        <td style="text-align: center;">G^^, Ab^^<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">15<br />
</td>
        <td style="text-align: center;">600<br />
</td>
        <td style="text-align: center;">^<span style="font-size: 90%; vertical-align: super;">3</span>4, v<span style="font-size: 90%; vertical-align: super;">3</span>5<br />
</td>
        <td style="text-align: center;">triple-up 4th, triple-down 5th<br />
</td>
        <td style="text-align: center;">G^3, Av3<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">16<br />
</td>
        <td style="text-align: center;">640<br />
</td>
        <td style="text-align: center;">vvA4, vv5<br />
</td>
        <td style="text-align: center;">double-down aug 4th, double-down 5th<br />
</td>
        <td style="text-align: center;">G#vv, Avv<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">17<br />
</td>
        <td style="text-align: center;">680<br />
</td>
        <td style="text-align: center;">vA4, v5<br />
</td>
        <td style="text-align: center;">downaug 4th, down 5th<br />
</td>
        <td style="text-align: center;">G#v, Av<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">18<br />
</td>
        <td style="text-align: center;">720<br />
</td>
        <td style="text-align: center;">P5<br />
</td>
        <td style="text-align: center;">perfect 5th<br />
</td>
        <td style="text-align: center;">A<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">19<br />
</td>
        <td style="text-align: center;">760<br />
</td>
        <td style="text-align: center;">^5, ^m6<br />
</td>
        <td style="text-align: center;">up 5th, upminor 6th<br />
</td>
        <td style="text-align: center;">A^, Bb^<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">20<br />
</td>
        <td style="text-align: center;">800<br />
</td>
        <td style="text-align: center;">v~6<br />
</td>
        <td style="text-align: center;">downmid 6th<br />
</td>
        <td style="text-align: center;">Bb^^<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">21<br />
</td>
        <td style="text-align: center;">840<br />
</td>
        <td style="text-align: center;">~6<br />
</td>
        <td style="text-align: center;">mid 6th<br />
</td>
        <td style="text-align: center;">Bv<span style="font-size: 90%; vertical-align: super;">3</span><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">22<br />
</td>
        <td style="text-align: center;">880<br />
</td>
        <td style="text-align: center;">^~6<br />
</td>
        <td style="text-align: center;">upmid 6th<br />
</td>
        <td style="text-align: center;">Bvv<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">23<br />
</td>
        <td style="text-align: center;">920<br />
</td>
        <td style="text-align: center;">vM6<br />
</td>
        <td style="text-align: center;">downmajor 6th<br />
</td>
        <td style="text-align: center;">Bv<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">24<br />
</td>
        <td style="text-align: center;">960<br />
</td>
        <td style="text-align: center;">M6. m7<br />
</td>
        <td style="text-align: center;">major 6th, minor 7th<br />
</td>
        <td style="text-align: center;">B, C<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">25<br />
</td>
        <td style="text-align: center;">1000<br />
</td>
        <td style="text-align: center;">^m7<br />
</td>
        <td style="text-align: center;">upminor 7th<br />
</td>
        <td style="text-align: center;">C^<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">26<br />
</td>
        <td style="text-align: center;">1040<br />
</td>
        <td style="text-align: center;">v~7<br />
</td>
        <td style="text-align: center;">downmid 7th<br />
</td>
        <td style="text-align: center;">C^^<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">27<br />
</td>
        <td style="text-align: center;">1080<br />
</td>
        <td style="text-align: center;">~7<br />
</td>
        <td style="text-align: center;">mid 7th<br />
</td>
        <td style="text-align: center;">C^<span style="font-size: 90%; vertical-align: super;">3</span><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">28<br />
</td>
        <td style="text-align: center;">1120<br />
</td>
        <td style="text-align: center;">^~7, vv8<br />
</td>
        <td style="text-align: center;">upmid 7th, double-down 8ve<br />
</td>
        <td style="text-align: center;">C#vv, Dvv<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">29<br />
</td>
        <td style="text-align: center;">1160<br />
</td>
        <td style="text-align: center;">vM7, v8<br />
</td>
        <td style="text-align: center;">downmajor 7th, down 8ve<br />
</td>
        <td style="text-align: center;">C#v, Dv<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">30<br />
</td>
        <td style="text-align: center;">1200<br />
</td>
        <td style="text-align: center;">P8<br />
</td>
        <td style="text-align: center;">8ve<br />
</td>
        <td style="text-align: center;">D<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Commas"></a><!-- ws:end:WikiTextHeadingRule:2 -->Commas</h1>
 30 EDO tempers out the following commas. (Note: This assumes the val &lt; 30 48 70 84 104 111/1 | .)<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 style="text-align: left;">| 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 style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">250/243<br />
</td>
        <td style="text-align: left;">| 1 -5 3 &gt;<br />
</td>
        <td style="text-align: right;">49.17<br />
</td>
        <td style="text-align: center;">Maximal Diesis<br />
</td>
        <td style="text-align: center;">Porcupine Comma<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">128/125<br />
</td>
        <td style="text-align: left;">| 7 0 -3 &gt;<br />
</td>
        <td style="text-align: right;">41.06<br />
</td>
        <td style="text-align: center;">Diesis<br />
</td>
        <td style="text-align: center;">Augmented Comma<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">15625/15552<br />
</td>
        <td style="text-align: left;">| -6 -5 6 &gt;<br />
</td>
        <td style="text-align: right;">8.11<br />
</td>
        <td style="text-align: center;">Kleisma<br />
</td>
        <td style="text-align: center;">Semicomma Majeur<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">1029/1000<br />
</td>
        <td style="text-align: left;">| -3 1 -3 3 &gt;<br />
</td>
        <td style="text-align: right;">49.49<br />
</td>
        <td style="text-align: center;">Keega<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">49/48<br />
</td>
        <td style="text-align: left;">| -4 -1 0 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 style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">64/63<br />
</td>
        <td style="text-align: left;">| 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 style="text-align: center;">Leipziger Komma<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">64827/64000<br />
</td>
        <td style="text-align: left;">| -9 3 -3 4 &gt;<br />
</td>
        <td style="text-align: right;">22.23<br />
</td>
        <td style="text-align: center;">Squalentine<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">875/864<br />
</td>
        <td style="text-align: left;">| -5 -3 3 1 &gt;<br />
</td>
        <td style="text-align: right;">21.90<br />
</td>
        <td style="text-align: center;">Keema<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">126/125<br />
</td>
        <td style="text-align: left;">| 1 2 -3 1 &gt;<br />
</td>
        <td style="text-align: right;">13.79<br />
</td>
        <td style="text-align: center;">Septimal Semicomma<br />
</td>
        <td style="text-align: center;">Starling Comma<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">4000/3969<br />
</td>
        <td style="text-align: left;">| 5 -4 3 -2 &gt;<br />
</td>
        <td style="text-align: right;">13.47<br />
</td>
        <td style="text-align: center;">Octagar<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">1029/1024<br />
</td>
        <td style="text-align: left;">| -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 style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">6144/6125<br />
</td>
        <td style="text-align: left;">| 11 1 -3 -2 &gt;<br />
</td>
        <td style="text-align: right;">5.36<br />
</td>
        <td style="text-align: center;">Porwell<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: left;">| -4 6 -6 3 &gt;<br />
</td>
        <td style="text-align: right;">0.33<br />
</td>
        <td style="text-align: center;">Landscape Comma<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">100/99<br />
</td>
        <td style="text-align: left;">| 2 -2 2 0 -1 &gt;<br />
</td>
        <td style="text-align: right;">17.40<br />
</td>
        <td style="text-align: center;">Ptolemisma<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">121/120<br />
</td>
        <td style="text-align: left;">| -3 -1 -1 0 2 &gt;<br />
</td>
        <td style="text-align: right;">14.37<br />
</td>
        <td style="text-align: center;">Biyatisma<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">176/175<br />
</td>
        <td style="text-align: left;">| 4 0 -2 -1 1 &gt;<br />
</td>
        <td style="text-align: right;">9.86<br />
</td>
        <td style="text-align: center;">Valinorsma<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">65536/65219<br />
</td>
        <td style="text-align: left;">| 16 0 0 -2 -3 &gt;<br />
</td>
        <td style="text-align: right;">8.39<br />
</td>
        <td style="text-align: center;">Orgonisma<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">385/384<br />
</td>
        <td style="text-align: left;">| -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 style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">441/440<br />
</td>
        <td style="text-align: left;">| -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 style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">4000/3993<br />
</td>
        <td style="text-align: left;">| 5 -1 3 0 -3 &gt;<br />
</td>
        <td style="text-align: right;">3.03<br />
</td>
        <td style="text-align: center;">Wizardharry<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3025/3024<br />
</td>
        <td style="text-align: left;">| -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 style="text-align: center;"><br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:4 -->Music</h1>
 <br />
<a class="wiki_link_ext" href="http://spectropolrecords.bandcamp.com/track/todd-harrop-fifteen-short-pieces" rel="nofollow" target="_blank">Fifteen Short Pieces</a> by <span class="wiki_link_ext">Todd Harrop</span></body></html>

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