20edo: Difference between revisions
Wikispaces>jdfreivald **Imported revision 233339378 - Original comment: Added comma table.** |
Wikispaces>jdfreivald **Imported revision 233340056 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | 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 21: | : This revision was by author [[User:jdfreivald|jdfreivald]] and made on <tt>2011-05-31 21:41:00 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>233340056</tt>.<br> | ||
: The revision comment was: <tt> | : 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> | 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> | <h4>Original Wikitext content:</h4> | ||
| Line 56: | Line 56: | ||
20 EDO tempers out the following commas. (Note: This assumes the val < 20 32 46 56 69 74 |.) | 20 EDO tempers out the following commas. (Note: This assumes the val < 20 32 46 56 69 74 |.) | ||
||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 || | ||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 || | ||
|| 256/243 || | 8 -5 > || 90.22 || Limma || Pythagorean Minor 2nd || || | ||= 256/243 ||< | 8 -5 > ||> 90.22 ||= Limma ||= Pythagorean Minor 2nd ||= || | ||
|| 16875/16384 || | -14 3 4 > || 51.12 || Negri Comma || | ||= 16875/16384 ||< | -14 3 4 > ||> 51.12 ||= Negri Comma ||= Double Augmentation Diesis || || | ||
|| 9931568/9752117 || | -25 7 6 > || 31.57 || | ||= 9931568/9752117 ||< | -25 7 6 > ||> 31.57 ||= Ampersand's Comma ||= ||= || | ||
|| 2048/2025 || | 11 -4 -2 > || 19.55 || Diaschisma || || || | ||= 2048/2025 ||< | 11 -4 -2 > ||> 19.55 ||= Diaschisma ||= ||= || | ||
|| 525/512 || | -9 1 2 1 > || 43.41 || Avicennma || | ||= 525/512 ||< | -9 1 2 1 > ||> 43.41 ||= Avicennma ||= Avicenna's Enharmonic Diesis || || | ||
|| 49/48 || | -4 -1 0 2 > || 35.70 |||| | ||= 49/48 ||< | -4 -1 0 2 > ||> 35.70 ||= Slendro Diesis ||= ||= || | ||
|| 50/49 || | 1 0 2 -2 > || 34.98 || Tritonic Diesis || Jubilisma || || | ||= 50/49 ||< | 1 0 2 -2 > ||> 34.98 ||= Tritonic Diesis ||= Jubilisma ||= || | ||
|| 686/675 || | 1 -3 -2 3 > || 27.99 || Senga || || || | ||= 686/675 ||< | 1 -3 -2 3 > ||> 27.99 ||= Senga ||= ||= || | ||
|| 64/63 || | 6 -2 0 -1 > || 27.26 || Septimal Comma || Archytas' Comma || Leipziger Komma || | ||= 64/63 ||< | 6 -2 0 -1 > ||> 27.26 ||= Septimal Comma ||= Archytas' Comma ||= Leipziger Komma || | ||
|| 9859966/9733137 || | -10 7 8 -7 > || 22.41 || Blackjackisma || || || | ||= 9859966/9733137 ||< | -10 7 8 -7 > ||> 22.41 ||= Blackjackisma ||= ||= || | ||
|| 1029/1024 || | -10 1 0 3 > || 8.43 || Gamelisma || || || | ||= 1029/1024 ||< | -10 1 0 3 > ||> 8.43 ||= Gamelisma ||= ||= || | ||
|| 225/224 || | -5 2 2 -1 > || 7.71 || Septimal Kleisma || Marvel Comma || || | ||= 225/224 ||< | -5 2 2 -1 > ||> 7.71 ||= Septimal Kleisma ||= Marvel Comma ||= || | ||
|| 16875/16807 || | 0 3 4 -5 > || 6.99 || Mirkwai || || || | ||= 16875/16807 ||< | 0 3 4 -5 > ||> 6.99 ||= Mirkwai ||= ||= || | ||
|| 6772805/6751042 || | 11 -10 -10 10 > || 5.57 || Linus || || || | ||= 6772805/6751042 ||< | 11 -10 -10 10 > ||> 5.57 ||= Linus ||= ||= || | ||
|| 2401/2400 || | -5 -1 -2 4 > || 0.72 || Breedsma || || || | ||= 2401/2400 ||< | -5 -1 -2 4 > ||> 0.72 ||= Breedsma ||= ||= || | ||
|| 121/120 || | -3 -1 -1 0 2 > || 14.37 || Biyatisma || || || | ||= 121/120 ||< | -3 -1 -1 0 2 > ||> 14.37 ||= Biyatisma ||= ||= || | ||
|| 91/90 || | -1 -2 -1 1 0 1 > || 19.13 || Superleap || || || | ||= 91/90 ||< | -1 -2 -1 1 0 1 > ||> 19.13 ||= Superleap ||= ||= || | ||
|| 676/675 || | 2 -3 -2 0 0 2 > || 2.56 || Parizeksma || || || | ||= 676/675 ||< | 2 -3 -2 0 0 2 > ||> 2.56 ||= Parizeksma ||= ||= || | ||
=Books= | =Books= | ||
[[image:http://ronsword.com/images/20_tet_Coversm.jpg width="82" height="114" link="@http://www.ronsword.com/"]][[@http://www.ronsword.com/|"Icosaphonic Scales for Guitar" - Theory / Scale book with above modes and more]] by [[Ron Sword]] | [[image:http://ronsword.com/images/20_tet_Coversm.jpg width="82" height="114" link="@http://www.ronsword.com/"]][[@http://www.ronsword.com/|"Icosaphonic Scales for Guitar" - Theory / Scale book with above modes and more]] by [[Ron Sword]] | ||
| Line 257: | Line 257: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>256/243<br /> | <td style="text-align: center;">256/243<br /> | ||
</td> | </td> | ||
<td>| 8 -5 &gt;<br /> | <td style="text-align: left;">| 8 -5 &gt;<br /> | ||
</td> | </td> | ||
<td>90.22<br /> | <td style="text-align: right;">90.22<br /> | ||
</td> | </td> | ||
<td>Limma<br /> | <td style="text-align: center;">Limma<br /> | ||
</td> | </td> | ||
<td>Pythagorean Minor 2nd<br /> | <td style="text-align: center;">Pythagorean Minor 2nd<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>16875/16384<br /> | <td style="text-align: center;">16875/16384<br /> | ||
</td> | |||
<td style="text-align: left;">| -14 3 4 &gt;<br /> | |||
</td> | </td> | ||
<td | <td style="text-align: right;">51.12<br /> | ||
</td> | </td> | ||
<td> | <td style="text-align: center;">Negri Comma<br /> | ||
</td> | </td> | ||
<td> | <td style="text-align: center;">Double Augmentation Diesis<br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>9931568/9752117<br /> | <td style="text-align: center;">9931568/9752117<br /> | ||
</td> | |||
<td style="text-align: left;">| -25 7 6 &gt;<br /> | |||
</td> | </td> | ||
<td | <td style="text-align: right;">31.57<br /> | ||
</td> | </td> | ||
<td> | <td style="text-align: center;">Ampersand's Comma<br /> | ||
</td> | </td> | ||
<td | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>2048/2025<br /> | <td style="text-align: center;">2048/2025<br /> | ||
</td> | </td> | ||
<td>| 11 -4 -2 &gt;<br /> | <td style="text-align: left;">| 11 -4 -2 &gt;<br /> | ||
</td> | </td> | ||
<td>19.55<br /> | <td style="text-align: right;">19.55<br /> | ||
</td> | </td> | ||
<td>Diaschisma<br /> | <td style="text-align: center;">Diaschisma<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>525/512<br /> | <td style="text-align: center;">525/512<br /> | ||
</td> | |||
<td style="text-align: left;">| -9 1 2 1 &gt;<br /> | |||
</td> | </td> | ||
<td | <td style="text-align: right;">43.41<br /> | ||
</td> | </td> | ||
<td> | <td style="text-align: center;">Avicennma<br /> | ||
</td> | </td> | ||
<td> | <td style="text-align: center;">Avicenna's Enharmonic Diesis<br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>49/48<br /> | <td style="text-align: center;">49/48<br /> | ||
</td> | |||
<td style="text-align: left;">| -4 -1 0 2 &gt;<br /> | |||
</td> | </td> | ||
<td | <td style="text-align: right;">35.70<br /> | ||
</td> | </td> | ||
<td> | <td style="text-align: center;">Slendro Diesis<br /> | ||
</td> | </td> | ||
<td | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>50/49<br /> | <td style="text-align: center;">50/49<br /> | ||
</td> | </td> | ||
<td>| 1 0 2 -2 &gt;<br /> | <td style="text-align: left;">| 1 0 2 -2 &gt;<br /> | ||
</td> | </td> | ||
<td>34.98<br /> | <td style="text-align: right;">34.98<br /> | ||
</td> | </td> | ||
<td>Tritonic Diesis<br /> | <td style="text-align: center;">Tritonic Diesis<br /> | ||
</td> | </td> | ||
<td>Jubilisma<br /> | <td style="text-align: center;">Jubilisma<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>686/675<br /> | <td style="text-align: center;">686/675<br /> | ||
</td> | </td> | ||
<td>| 1 -3 -2 3 &gt;<br /> | <td style="text-align: left;">| 1 -3 -2 3 &gt;<br /> | ||
</td> | </td> | ||
<td>27.99<br /> | <td style="text-align: right;">27.99<br /> | ||
</td> | </td> | ||
<td>Senga<br /> | <td style="text-align: center;">Senga<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>64/63<br /> | <td style="text-align: center;">64/63<br /> | ||
</td> | </td> | ||
<td>| 6 -2 0 -1 &gt;<br /> | <td style="text-align: left;">| 6 -2 0 -1 &gt;<br /> | ||
</td> | </td> | ||
<td>27.26<br /> | <td style="text-align: right;">27.26<br /> | ||
</td> | </td> | ||
<td>Septimal Comma<br /> | <td style="text-align: center;">Septimal Comma<br /> | ||
</td> | </td> | ||
<td>Archytas' Comma<br /> | <td style="text-align: center;">Archytas' Comma<br /> | ||
</td> | </td> | ||
<td>Leipziger Komma<br /> | <td style="text-align: center;">Leipziger Komma<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>9859966/9733137<br /> | <td style="text-align: center;">9859966/9733137<br /> | ||
</td> | </td> | ||
<td>| -10 7 8 -7 &gt;<br /> | <td style="text-align: left;">| -10 7 8 -7 &gt;<br /> | ||
</td> | </td> | ||
<td>22.41<br /> | <td style="text-align: right;">22.41<br /> | ||
</td> | </td> | ||
<td>Blackjackisma<br /> | <td style="text-align: center;">Blackjackisma<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>1029/1024<br /> | <td style="text-align: center;">1029/1024<br /> | ||
</td> | </td> | ||
<td>| -10 1 0 3 &gt;<br /> | <td style="text-align: left;">| -10 1 0 3 &gt;<br /> | ||
</td> | </td> | ||
<td>8.43<br /> | <td style="text-align: right;">8.43<br /> | ||
</td> | </td> | ||
<td>Gamelisma<br /> | <td style="text-align: center;">Gamelisma<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>225/224<br /> | <td style="text-align: center;">225/224<br /> | ||
</td> | </td> | ||
<td>| -5 2 2 -1 &gt;<br /> | <td style="text-align: left;">| -5 2 2 -1 &gt;<br /> | ||
</td> | </td> | ||
<td>7.71<br /> | <td style="text-align: right;">7.71<br /> | ||
</td> | </td> | ||
<td>Septimal Kleisma<br /> | <td style="text-align: center;">Septimal Kleisma<br /> | ||
</td> | </td> | ||
<td>Marvel Comma<br /> | <td style="text-align: center;">Marvel Comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>16875/16807<br /> | <td style="text-align: center;">16875/16807<br /> | ||
</td> | </td> | ||
<td>| 0 3 4 -5 &gt;<br /> | <td style="text-align: left;">| 0 3 4 -5 &gt;<br /> | ||
</td> | </td> | ||
<td>6.99<br /> | <td style="text-align: right;">6.99<br /> | ||
</td> | </td> | ||
<td>Mirkwai<br /> | <td style="text-align: center;">Mirkwai<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>6772805/6751042<br /> | <td style="text-align: center;">6772805/6751042<br /> | ||
</td> | </td> | ||
<td>| 11 -10 -10 10 &gt;<br /> | <td style="text-align: left;">| 11 -10 -10 10 &gt;<br /> | ||
</td> | </td> | ||
<td>5.57<br /> | <td style="text-align: right;">5.57<br /> | ||
</td> | </td> | ||
<td>Linus<br /> | <td style="text-align: center;">Linus<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>2401/2400<br /> | <td style="text-align: center;">2401/2400<br /> | ||
</td> | </td> | ||
<td>| -5 -1 -2 4 &gt;<br /> | <td style="text-align: left;">| -5 -1 -2 4 &gt;<br /> | ||
</td> | </td> | ||
<td>0.72<br /> | <td style="text-align: right;">0.72<br /> | ||
</td> | </td> | ||
<td>Breedsma<br /> | <td style="text-align: center;">Breedsma<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>121/120<br /> | <td style="text-align: center;">121/120<br /> | ||
</td> | </td> | ||
<td>| -3 -1 -1 0 2 &gt;<br /> | <td style="text-align: left;">| -3 -1 -1 0 2 &gt;<br /> | ||
</td> | </td> | ||
<td>14.37<br /> | <td style="text-align: right;">14.37<br /> | ||
</td> | </td> | ||
<td>Biyatisma<br /> | <td style="text-align: center;">Biyatisma<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>91/90<br /> | <td style="text-align: center;">91/90<br /> | ||
</td> | </td> | ||
<td>| -1 -2 -1 1 0 1 &gt;<br /> | <td style="text-align: left;">| -1 -2 -1 1 0 1 &gt;<br /> | ||
</td> | </td> | ||
<td>19.13<br /> | <td style="text-align: right;">19.13<br /> | ||
</td> | </td> | ||
<td>Superleap<br /> | <td style="text-align: center;">Superleap<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>676/675<br /> | <td style="text-align: center;">676/675<br /> | ||
</td> | </td> | ||
<td>| 2 -3 -2 0 0 2 &gt;<br /> | <td style="text-align: left;">| 2 -3 -2 0 0 2 &gt;<br /> | ||
</td> | </td> | ||
<td>2.56<br /> | <td style="text-align: right;">2.56<br /> | ||
</td> | </td> | ||
<td>Parizeksma<br /> | <td style="text-align: center;">Parizeksma<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 503: | Line 511: | ||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="Books"></a><!-- ws:end:WikiTextHeadingRule:10 -->Books</h1> | <!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="Books"></a><!-- ws:end:WikiTextHeadingRule:10 -->Books</h1> | ||
<!-- ws:start:WikiTextRemoteImageRule: | <!-- ws:start:WikiTextRemoteImageRule:417:&lt;a href=&quot;http://www.ronsword.com/&quot; target=&quot;_blank&quot; rel=&quot;nofollow&quot;&gt;&lt;img src=&quot;http://ronsword.com/images/20_tet_Coversm.jpg&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 114px; width: 82px;&quot; /&gt;&lt;/a&gt; --><a href="http://www.ronsword.com/" target="_blank" rel="nofollow"><img src="http://ronsword.com/images/20_tet_Coversm.jpg" alt="external image 20_tet_Coversm.jpg" title="external image 20_tet_Coversm.jpg" style="height: 114px; width: 82px;" /></a><!-- ws:end:WikiTextRemoteImageRule:417 --><a class="wiki_link_ext" href="http://www.ronsword.com/" rel="nofollow" target="_blank">&quot;Icosaphonic Scales for Guitar&quot; - Theory / Scale book with above modes and more</a> by <a class="wiki_link" href="/Ron%20Sword">Ron Sword</a><br /> | ||
<!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="Compositions"></a><!-- ws:end:WikiTextHeadingRule:12 -->Compositions</h1> | <!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="Compositions"></a><!-- ws:end:WikiTextHeadingRule:12 -->Compositions</h1> | ||
<ul><li><a class="wiki_link_ext" href="http://www.io.com/%7Ehmiller/midi/20tet.mid" rel="nofollow">Etude in 20-tone equal tuning</a> by <a class="wiki_link" href="/Herman%20Miller">Herman Miller</a></li><li><a class="wiki_link_ext" href="http://www.h-pi.com/mp3/20ETPreludeFugue.mp3" rel="nofollow">20ET — Prelude &amp; Fugue a3</a> by <a class="wiki_link" href="/Aaron%20Hunt">Aaron Hunt</a></li></ul></body></html></pre></div> | <ul><li><a class="wiki_link_ext" href="http://www.io.com/%7Ehmiller/midi/20tet.mid" rel="nofollow">Etude in 20-tone equal tuning</a> by <a class="wiki_link" href="/Herman%20Miller">Herman Miller</a></li><li><a class="wiki_link_ext" href="http://www.h-pi.com/mp3/20ETPreludeFugue.mp3" rel="nofollow">20ET — Prelude &amp; Fugue a3</a> by <a class="wiki_link" href="/Aaron%20Hunt">Aaron Hunt</a></li></ul></body></html></pre></div> | ||