24edo: Difference between revisions
Wikispaces>genewardsmith **Imported revision 232647478 - Original comment: ** |
Wikispaces>jdfreivald **Imported revision 233345280 - Original comment: Added comma table.** |
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| Line 1: | Line 1: | ||
<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: | : This revision was by author [[User:jdfreivald|jdfreivald]] and made on <tt>2011-05-31 22:04:12 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>233345280</tt>.<br> | ||
: The revision comment was: <tt></tt><br> | : The revision comment was: <tt>Added comma table.</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 23: | Line 23: | ||
0-5-10 (another kind of "neutral", splitting the fourth in two. The 0-5-10 can be extended into a pentatonic scale, 0-5-10-14-19-24, that is close to equi-pentatonic and also close to several Indonesian šlêndros. In a similar way 0-7-14 extends to 0-4-7-11-14-18-21-24, a heptatonic scale close to several Arabic scales.) | 0-5-10 (another kind of "neutral", splitting the fourth in two. The 0-5-10 can be extended into a pentatonic scale, 0-5-10-14-19-24, that is close to equi-pentatonic and also close to several Indonesian šlêndros. In a similar way 0-7-14 extends to 0-4-7-11-14-18-21-24, a heptatonic scale close to several Arabic scales.) | ||
===Commas=== | |||
24 EDO tempers out the following commas. (Note: This assumes val < 24 38 56 67 83 89 |.) | |||
||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 || | |||
|| 531441/524288 || | -19 12 > || 23.46 || Pythagorean Comma || || || | |||
|| 648/625 || | 3 4 -4 > || 62.57 || Major Diesis || Diminished Comma || || | |||
|| 128/125 || | 7 0 -3 > || 41.06 || Diesis || Augmented Comma || || | |||
|| 81/80 || | -4 4 -1 > || 21.51 || Syntonic Comma || Didymos Comma || Meantone Comma || | |||
|| 2048/2025 || | 11 -4 -2 > || 19.55 || Diaschisma || || || | |||
|| 5201701/5149091 || | 26 -12 -3 > || 17.60 || Misty Comma || || || | |||
|| 32805/32768 || | -15 8 1 > || 1.95 || Schisma || || || | |||
|| 1465155/1465142 || | 161 -84 -12 > || 0.02 || Atom || || || | |||
|| 49/48 || | -4 -1 0 2 > || 35.70 || Slendro Diesis || || || | |||
|| 245/243 || | 0 -5 1 2 > || 14.19 || Sensamagic || || || | |||
|| 19683/19600 || | -4 9 -2 -2 > || 7.32 || Cataharry || || || | |||
|| 6144/6125 || | 11 1 -3 -2 > || 5.36 || Porwell || || || | |||
|| 121/120 || | -3 -1 -1 0 2 > || 14.37 || Biyatisma || || || | |||
|| 176/175 || | 4 0 -2 -1 1 > || 9.86 || Valinorsma || || || | |||
|| 896/891 || | 7 -4 0 1 -1 > || 9.69 || Pentacircle || || || | |||
|| 243/242 || | -1 5 0 0 -2 > || 7.14 || Rastma || || || | |||
|| 385/384 || | -7 -1 1 1 1 > || 4.50 || Keenanisma || || || | |||
|| 9801/9800 || | -3 4 -2 -2 2 > || 0.18 || Kalisma || Gauss' Comma || || | |||
|| 91/90 || | -1 -2 -1 1 0 1 > || 19.13 || Superleap || || || | |||
|| 676/675 || | 2 -3 -2 0 0 2 > || 2.56 || Parizeksma || || || | |||
=Intervals= | =Intervals= | ||
The twelve new intervals in quartertones are: | The twelve new intervals in quartertones are: | ||
| Line 214: | Line 237: | ||
=Compositions= | =Compositions= | ||
==Music== | ==Music== | ||
[[http://240edomusic.googlepages.com/Microhex3.mp3|Microhex3]], [[http://240edomusic.googlepages.com/Microhex4.mp3|Microhex4]], and [[http://www.96edo.com/music/Microhex5.mp3|Microhex5]] by [[http://www.96edo.com/About_me.html|Shaahin Mohajeri]] | <span class="ymp-btn-page-play ymp-media-eb56a917c62000140296c2e1a6d89911">[[http://240edomusic.googlepages.com/Microhex3.mp3|Microhex3]]</span>, <span class="ymp-btn-page-play ymp-media-750620955011dabb8bc98c7c8830cbb8">[[http://240edomusic.googlepages.com/Microhex4.mp3|Microhex4]]</span>, and <span class="ymp-btn-page-play ymp-media-4aeb7c299c23983ba8081a591562e704">[[http://www.96edo.com/music/Microhex5.mp3|Microhex5]]</span> by [[http://www.96edo.com/About_me.html|Shaahin Mohajeri]] | ||
[[http://micro.soonlabel.com/24et/quarterpicnic.mp3|Quarterpicnic]] by [[Chris Vaisvil]] | <span class="ymp-btn-page-play ymp-media-30832be5610668b4b42451c8ce82dc80">[[http://micro.soonlabel.com/24et/quarterpicnic.mp3|Quarterpicnic]]</span> by [[Chris Vaisvil]] | ||
==About== | ==About== | ||
| Line 232: | Line 255: | ||
<h4>Original HTML content:</h4> | <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>24edo</title></head><body><!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/custom/9484240?h=0&amp;w=0&quot; class=&quot;WikiMedia WikiMediaCustom&quot; id=&quot;wikitext@@media@@type=&amp;quot;custom&amp;quot; key=&amp;quot;9484240&amp;quot;&quot; title=&quot;Custom Media&quot;/&gt; --><script type="text/javascript" src="http://webplayer.yahooapis.com/player.js"> | <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>24edo</title></head><body><!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/custom/9484240?h=0&amp;w=0&quot; class=&quot;WikiMedia WikiMediaCustom&quot; id=&quot;wikitext@@media@@type=&amp;quot;custom&amp;quot; key=&amp;quot;9484240&amp;quot;&quot; title=&quot;Custom Media&quot;/&gt; --><script type="text/javascript" src="http://webplayer.yahooapis.com/player.js"> | ||
</script><!-- ws:end:WikiTextMediaRule:0 --><!-- ws:start:WikiTextTocRule: | </script><!-- ws:end:WikiTextMediaRule:0 --><!-- ws:start:WikiTextTocRule:27:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:27 --><!-- ws:start:WikiTextTocRule:28: --><a href="#Basics">Basics</a><!-- ws:end:WikiTextTocRule:28 --><!-- ws:start:WikiTextTocRule:29: --> | <a href="#x24edo as a temperament">24edo as a temperament</a><!-- ws:end:WikiTextTocRule:29 --><!-- ws:start:WikiTextTocRule:30: --><!-- ws:end:WikiTextTocRule:30 --><!-- ws:start:WikiTextTocRule:31: --> | <a href="#Intervals">Intervals</a><!-- ws:end:WikiTextTocRule:31 --><!-- ws:start:WikiTextTocRule:32: --> | <a href="#Notation">Notation</a><!-- ws:end:WikiTextTocRule:32 --><!-- ws:start:WikiTextTocRule:33: --> | <a href="#Scales / Modes">Scales / Modes</a><!-- ws:end:WikiTextTocRule:33 --><!-- ws:start:WikiTextTocRule:34: --><!-- ws:end:WikiTextTocRule:34 --><!-- ws:start:WikiTextTocRule:35: --> | <a href="#Instruments">Instruments</a><!-- ws:end:WikiTextTocRule:35 --><!-- ws:start:WikiTextTocRule:36: --> | <a href="#Compositions">Compositions</a><!-- ws:end:WikiTextTocRule:36 --><!-- ws:start:WikiTextTocRule:37: --><!-- ws:end:WikiTextTocRule:37 --><!-- ws:start:WikiTextTocRule:38: --><!-- ws:end:WikiTextTocRule:38 --><!-- ws:start:WikiTextTocRule:39: --> | <a href="#Practical Theory / Books">Practical Theory / Books</a><!-- ws:end:WikiTextTocRule:39 --><!-- ws:start:WikiTextTocRule:40: --> | <a href="#External links">External links</a><!-- ws:end:WikiTextTocRule:40 --><!-- ws:start:WikiTextTocRule:41: --> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:41 --><br /> | ||
<hr /> | <hr /> | ||
<!-- ws:start:WikiTextHeadingRule:1:&lt;h1&gt; --><h1 id="toc0"><a name="Basics"></a><!-- ws:end:WikiTextHeadingRule:1 -->Basics</h1> | <!-- ws:start:WikiTextHeadingRule:1:&lt;h1&gt; --><h1 id="toc0"><a name="Basics"></a><!-- ws:end:WikiTextHeadingRule:1 -->Basics</h1> | ||
| Line 250: | Line 273: | ||
0-5-10 (another kind of &quot;neutral&quot;, splitting the fourth in two. The 0-5-10 can be extended into a pentatonic scale, 0-5-10-14-19-24, that is close to equi-pentatonic and also close to several Indonesian šlêndros. In a similar way 0-7-14 extends to 0-4-7-11-14-18-21-24, a heptatonic scale close to several Arabic scales.)<br /> | 0-5-10 (another kind of &quot;neutral&quot;, splitting the fourth in two. The 0-5-10 can be extended into a pentatonic scale, 0-5-10-14-19-24, that is close to equi-pentatonic and also close to several Indonesian šlêndros. In a similar way 0-7-14 extends to 0-4-7-11-14-18-21-24, a heptatonic scale close to several Arabic scales.)<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:5:&lt;h1&gt; --><h1 id=" | <!-- ws:start:WikiTextHeadingRule:5:&lt;h3&gt; --><h3 id="toc2"><a name="x24edo as a temperament--Commas"></a><!-- ws:end:WikiTextHeadingRule:5 -->Commas</h3> | ||
24 EDO tempers out the following commas. (Note: This assumes val &lt; 24 38 56 67 83 89 |.)<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>531441/524288<br /> | |||
</td> | |||
<td>| -19 12 &gt;<br /> | |||
</td> | |||
<td>23.46<br /> | |||
</td> | |||
<td>Pythagorean Comma<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>648/625<br /> | |||
</td> | |||
<td>| 3 4 -4 &gt;<br /> | |||
</td> | |||
<td>62.57<br /> | |||
</td> | |||
<td>Major Diesis<br /> | |||
</td> | |||
<td>Diminished Comma<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>128/125<br /> | |||
</td> | |||
<td>| 7 0 -3 &gt;<br /> | |||
</td> | |||
<td>41.06<br /> | |||
</td> | |||
<td>Diesis<br /> | |||
</td> | |||
<td>Augmented Comma<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>81/80<br /> | |||
</td> | |||
<td>| -4 4 -1 &gt;<br /> | |||
</td> | |||
<td>21.51<br /> | |||
</td> | |||
<td>Syntonic Comma<br /> | |||
</td> | |||
<td>Didymos Comma<br /> | |||
</td> | |||
<td>Meantone Comma<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>2048/2025<br /> | |||
</td> | |||
<td>| 11 -4 -2 &gt;<br /> | |||
</td> | |||
<td>19.55<br /> | |||
</td> | |||
<td>Diaschisma<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>5201701/5149091<br /> | |||
</td> | |||
<td>| 26 -12 -3 &gt;<br /> | |||
</td> | |||
<td>17.60<br /> | |||
</td> | |||
<td>Misty Comma<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>32805/32768<br /> | |||
</td> | |||
<td>| -15 8 1 &gt;<br /> | |||
</td> | |||
<td>1.95<br /> | |||
</td> | |||
<td>Schisma<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>1465155/1465142<br /> | |||
</td> | |||
<td>| 161 -84 -12 &gt;<br /> | |||
</td> | |||
<td>0.02<br /> | |||
</td> | |||
<td>Atom<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>49/48<br /> | |||
</td> | |||
<td>| -4 -1 0 2 &gt;<br /> | |||
</td> | |||
<td>35.70<br /> | |||
</td> | |||
<td>Slendro Diesis<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>245/243<br /> | |||
</td> | |||
<td>| 0 -5 1 2 &gt;<br /> | |||
</td> | |||
<td>14.19<br /> | |||
</td> | |||
<td>Sensamagic<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>19683/19600<br /> | |||
</td> | |||
<td>| -4 9 -2 -2 &gt;<br /> | |||
</td> | |||
<td>7.32<br /> | |||
</td> | |||
<td>Cataharry<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>6144/6125<br /> | |||
</td> | |||
<td>| 11 1 -3 -2 &gt;<br /> | |||
</td> | |||
<td>5.36<br /> | |||
</td> | |||
<td>Porwell<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>121/120<br /> | |||
</td> | |||
<td>| -3 -1 -1 0 2 &gt;<br /> | |||
</td> | |||
<td>14.37<br /> | |||
</td> | |||
<td>Biyatisma<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>176/175<br /> | |||
</td> | |||
<td>| 4 0 -2 -1 1 &gt;<br /> | |||
</td> | |||
<td>9.86<br /> | |||
</td> | |||
<td>Valinorsma<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>896/891<br /> | |||
</td> | |||
<td>| 7 -4 0 1 -1 &gt;<br /> | |||
</td> | |||
<td>9.69<br /> | |||
</td> | |||
<td>Pentacircle<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>243/242<br /> | |||
</td> | |||
<td>| -1 5 0 0 -2 &gt;<br /> | |||
</td> | |||
<td>7.14<br /> | |||
</td> | |||
<td>Rastma<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>385/384<br /> | |||
</td> | |||
<td>| -7 -1 1 1 1 &gt;<br /> | |||
</td> | |||
<td>4.50<br /> | |||
</td> | |||
<td>Keenanisma<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>9801/9800<br /> | |||
</td> | |||
<td>| -3 4 -2 -2 2 &gt;<br /> | |||
</td> | |||
<td>0.18<br /> | |||
</td> | |||
<td>Kalisma<br /> | |||
</td> | |||
<td>Gauss' Comma<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>91/90<br /> | |||
</td> | |||
<td>| -1 -2 -1 1 0 1 &gt;<br /> | |||
</td> | |||
<td>19.13<br /> | |||
</td> | |||
<td>Superleap<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>676/675<br /> | |||
</td> | |||
<td>| 2 -3 -2 0 0 2 &gt;<br /> | |||
</td> | |||
<td>2.56<br /> | |||
</td> | |||
<td>Parizeksma<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
</table> | |||
<!-- ws:start:WikiTextHeadingRule:7:&lt;h1&gt; --><h1 id="toc3"><a name="Intervals"></a><!-- ws:end:WikiTextHeadingRule:7 -->Intervals</h1> | |||
The twelve new intervals in quartertones are:<br /> | The twelve new intervals in quartertones are:<br /> | ||
<br /> | <br /> | ||
| Line 472: | Line 796: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:9:&lt;h1&gt; --><h1 id="toc4"><a name="Notation"></a><!-- ws:end:WikiTextHeadingRule:9 -->Notation</h1> | ||
<!-- ws:start:WikiTextRemoteImageRule: | <!-- ws:start:WikiTextRemoteImageRule:1092:&lt;img src=&quot;http://www.wfg.woodwind.org/n/s14_blue.gif&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://www.wfg.woodwind.org/n/s14_blue.gif" alt="external image s14_blue.gif" title="external image s14_blue.gif" /><!-- ws:end:WikiTextRemoteImageRule:1092 --> = quarter-tone sharp<br /> | ||
<!-- ws:start:WikiTextRemoteImageRule: | <!-- ws:start:WikiTextRemoteImageRule:1093:&lt;img src=&quot;http://www.wfg.woodwind.org/n/s34_blue.gif&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://www.wfg.woodwind.org/n/s34_blue.gif" alt="external image s34_blue.gif" title="external image s34_blue.gif" /><!-- ws:end:WikiTextRemoteImageRule:1093 --> = three-quarter-tone sharp<br /> | ||
<!-- ws:start:WikiTextRemoteImageRule: | <!-- ws:start:WikiTextRemoteImageRule:1094:&lt;img src=&quot;http://www.wfg.woodwind.org/n/f14_blue.gif&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://www.wfg.woodwind.org/n/f14_blue.gif" alt="external image f14_blue.gif" title="external image f14_blue.gif" /><!-- ws:end:WikiTextRemoteImageRule:1094 --> = quarter-tone flat<br /> | ||
<!-- ws:start:WikiTextRemoteImageRule: | <!-- ws:start:WikiTextRemoteImageRule:1095:&lt;img src=&quot;http://www.wfg.woodwind.org/n/f34_blue.gif&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://www.wfg.woodwind.org/n/f34_blue.gif" alt="external image f34_blue.gif" title="external image f34_blue.gif" /><!-- ws:end:WikiTextRemoteImageRule:1095 --> = three-quarter-tone flat<br /> | ||
<br /> | <br /> | ||
Alternately, in another notation system,<br /> | Alternately, in another notation system,<br /> | ||
<!-- ws:start:WikiTextRemoteImageRule: | <!-- ws:start:WikiTextRemoteImageRule:1096:&lt;img src=&quot;http://faculty.mansfield.edu/jmurphy/oldsite/quartertonesharp.gif&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://faculty.mansfield.edu/jmurphy/oldsite/quartertonesharp.gif" alt="external image quartertonesharp.gif" title="external image quartertonesharp.gif" /><!-- ws:end:WikiTextRemoteImageRule:1096 --> can be used as a quarter-tone sharp,<br /> | ||
††† (the horizontal line should connect all three vertical lines) can be used as a three-quartertone sharp,<br /> | ††† (the horizontal line should connect all three vertical lines) can be used as a three-quartertone sharp,<br /> | ||
<!-- ws:start:WikiTextRemoteImageRule: | <!-- ws:start:WikiTextRemoteImageRule:1097:&lt;img src=&quot;http://www.dolmetsch.com/onequarterflat.gif&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://www.dolmetsch.com/onequarterflat.gif" alt="external image onequarterflat.gif" title="external image onequarterflat.gif" /><!-- ws:end:WikiTextRemoteImageRule:1097 --> = quartertone flat,<br /> | ||
<!-- ws:start:WikiTextRemoteImageRule: | <!-- ws:start:WikiTextRemoteImageRule:1098:&lt;img src=&quot;http://upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Arabic_music_notation_half_flat.svg/9px-Arabic_music_notation_half_flat.svg.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Arabic_music_notation_half_flat.svg/9px-Arabic_music_notation_half_flat.svg.png" alt="external image 9px-Arabic_music_notation_half_flat.svg.png" title="external image 9px-Arabic_music_notation_half_flat.svg.png" /><!-- ws:end:WikiTextRemoteImageRule:1098 --> can be used as a three-quarter-tone flat.<br /> | ||
For example, the scale 0-5-10-15-20 is written as C-D<!-- ws:start:WikiTextRemoteImageRule: | For example, the scale 0-5-10-15-20 is written as C-D<!-- ws:start:WikiTextRemoteImageRule:1099:&lt;img src=&quot;http://faculty.mansfield.edu/jmurphy/oldsite/quartertonesharp.gif&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://faculty.mansfield.edu/jmurphy/oldsite/quartertonesharp.gif" alt="external image quartertonesharp.gif" title="external image quartertonesharp.gif" /><!-- ws:end:WikiTextRemoteImageRule:1099 --> (or E<!-- ws:start:WikiTextRemoteImageRule:1100:&lt;img src=&quot;http://upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Arabic_music_notation_half_flat.svg/9px-Arabic_music_notation_half_flat.svg.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Arabic_music_notation_half_flat.svg/9px-Arabic_music_notation_half_flat.svg.png" alt="external image 9px-Arabic_music_notation_half_flat.svg.png" title="external image 9px-Arabic_music_notation_half_flat.svg.png" /><!-- ws:end:WikiTextRemoteImageRule:1100 -->) F G<!-- ws:start:WikiTextRemoteImageRule:1101:&lt;img src=&quot;http://faculty.mansfield.edu/jmurphy/oldsite/quartertonesharp.gif&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://faculty.mansfield.edu/jmurphy/oldsite/quartertonesharp.gif" alt="external image quartertonesharp.gif" title="external image quartertonesharp.gif" /><!-- ws:end:WikiTextRemoteImageRule:1101 --> (or A<!-- ws:start:WikiTextRemoteImageRule:1102:&lt;img src=&quot;http://upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Arabic_music_notation_half_flat.svg/9px-Arabic_music_notation_half_flat.svg.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Arabic_music_notation_half_flat.svg/9px-Arabic_music_notation_half_flat.svg.png" alt="external image 9px-Arabic_music_notation_half_flat.svg.png" title="external image 9px-Arabic_music_notation_half_flat.svg.png" /><!-- ws:end:WikiTextRemoteImageRule:1102 -->) Bb.<br /> | ||
And in persian music:<br /> | And in persian music:<br /> | ||
<span style="display: block; text-align: center;"><!-- ws:start:WikiTextRemoteImageRule: | <span style="display: block; text-align: center;"><!-- ws:start:WikiTextRemoteImageRule:1104:&lt;a href=&quot;/24edo&quot;&gt;&lt;img src=&quot;http://240edo.googlepages.com/2.jpg/2-custom;size:430,120.jpg&quot; alt=&quot;Sori,Koron&quot; title=&quot;Sori,Koron&quot; /&gt;&lt;/a&gt; --><table class="captionBox"><tr><td class="captionedImage"><a href="/24edo"><img src="http://240edo.googlepages.com/2.jpg/2-custom;size:430,120.jpg" alt="Sori,Koron" title="Sori,Koron" /></a></td></tr><tr><td class="imageCaption">Sori,Koron</td></tr></table><!-- ws:end:WikiTextRemoteImageRule:1104 --></span><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:11:&lt;h1&gt; --><h1 id="toc5"><a name="Scales / Modes"></a><!-- ws:end:WikiTextHeadingRule:11 -->Scales / Modes</h1> | ||
<br /> | <br /> | ||
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<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
<td colspan="2"><!-- ws:start:WikiTextHeadingRule: | <td colspan="2"><!-- ws:start:WikiTextHeadingRule:13:&lt;h4&gt; --><h4 id="toc6"><a name="Scales / Modes---24 tone modes:"></a><!-- ws:end:WikiTextHeadingRule:13 -->24 tone modes:</h4> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,081: | Line 1,405: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:15:&lt;h1&gt; --><h1 id="toc7"><a name="Instruments"></a><!-- ws:end:WikiTextHeadingRule:15 -->Instruments<!-- ws:start:WikiTextAnchorRule:42:&lt;img src=&quot;/i/anchor.gif&quot; class=&quot;WikiAnchor&quot; alt=&quot;Anchor&quot; id=&quot;wikitext@@anchor@@instruments&quot; title=&quot;Anchor: instruments&quot;/&gt; --><a name="instruments"></a><!-- ws:end:WikiTextAnchorRule:42 --></h1> | ||
The ever-arising question in microtonal music, how to play it on instruments designed for 12edo, has a relatively simple answer in the case of 24edo: use two standard instruments tuned a quartertone apart. This <a class="wiki_link" href="/Microtonal%20Keyboards#twelvenoteoctavescales">&quot;12 note octave scales&quot;</a> approach is used in a wide part of the existing literature - see below.<br /> | The ever-arising question in microtonal music, how to play it on instruments designed for 12edo, has a relatively simple answer in the case of 24edo: use two standard instruments tuned a quartertone apart. This <a class="wiki_link" href="/Microtonal%20Keyboards#twelvenoteoctavescales">&quot;12 note octave scales&quot;</a> approach is used in a wide part of the existing literature - see below.<br /> | ||
<!-- ws:start:WikiTextRemoteImageRule: | <!-- ws:start:WikiTextRemoteImageRule:1105:&lt;img src=&quot;http://www.swordguitars.com/Sword_quartertone_stratsm.jpg&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 195px; width: 406px;&quot; /&gt; --><img src="http://www.swordguitars.com/Sword_quartertone_stratsm.jpg" alt="external image Sword_quartertone_stratsm.jpg" title="external image Sword_quartertone_stratsm.jpg" style="height: 195px; width: 406px;" /><!-- ws:end:WikiTextRemoteImageRule:1105 -->24-tone &quot;1/4-tone&quot; Guitar by Ron Sword / Sword guitars<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:17:&lt;h1&gt; --><h1 id="toc8"><a name="Compositions"></a><!-- ws:end:WikiTextHeadingRule:17 -->Compositions</h1> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:19:&lt;h2&gt; --><h2 id="toc9"><a name="Compositions-Music"></a><!-- ws:end:WikiTextHeadingRule:19 -->Music</h2> | ||
<a class="wiki_link_ext" href="http://240edomusic.googlepages.com/Microhex3.mp3" rel="nofollow">Microhex3</a>, <a class="wiki_link_ext" href="http://240edomusic.googlepages.com/Microhex4.mp3" rel="nofollow">Microhex4</a>, and <a class="wiki_link_ext" href="http://www.96edo.com/music/Microhex5.mp3" rel="nofollow">Microhex5</a> by <a class="wiki_link_ext" href="http://www.96edo.com/About_me.html" rel="nofollow">Shaahin Mohajeri</a><br /> | <span class="ymp-btn-page-play ymp-media-eb56a917c62000140296c2e1a6d89911"><a class="wiki_link_ext" href="http://240edomusic.googlepages.com/Microhex3.mp3" rel="nofollow">Microhex3</a></span>, <span class="ymp-btn-page-play ymp-media-750620955011dabb8bc98c7c8830cbb8"><a class="wiki_link_ext" href="http://240edomusic.googlepages.com/Microhex4.mp3" rel="nofollow">Microhex4</a></span>, and <span class="ymp-btn-page-play ymp-media-4aeb7c299c23983ba8081a591562e704"><a class="wiki_link_ext" href="http://www.96edo.com/music/Microhex5.mp3" rel="nofollow">Microhex5</a></span> by <a class="wiki_link_ext" href="http://www.96edo.com/About_me.html" rel="nofollow">Shaahin Mohajeri</a><br /> | ||
<a class="wiki_link_ext" href="http://micro.soonlabel.com/24et/quarterpicnic.mp3" rel="nofollow">Quarterpicnic</a> by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a><br /> | <span class="ymp-btn-page-play ymp-media-30832be5610668b4b42451c8ce82dc80"><a class="wiki_link_ext" href="http://micro.soonlabel.com/24et/quarterpicnic.mp3" rel="nofollow">Quarterpicnic</a></span> by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:21:&lt;h2&gt; --><h2 id="toc10"><a name="Compositions-About"></a><!-- ws:end:WikiTextHeadingRule:21 -->About</h2> | ||
&quot;Prométhée enchaîné&quot; by <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Fromental_Hal%C3%A9vy" rel="nofollow">Fromental Halévy</a> (considered the first mainstream western orchestral composition to use quarter tones.)<br /> | &quot;Prométhée enchaîné&quot; by <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Fromental_Hal%C3%A9vy" rel="nofollow">Fromental Halévy</a> (considered the first mainstream western orchestral composition to use quarter tones.)<br /> | ||
&quot;3 Hommages&quot; by <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Georg_Friedrich_Haas" rel="nofollow">Georg Friedrich Haas</a><br /> | &quot;3 Hommages&quot; by <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Georg_Friedrich_Haas" rel="nofollow">Georg Friedrich Haas</a><br /> | ||
<a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/List_of_quarter_tone_pieces" rel="nofollow">List of quartertone pieces on Wikipedia</a><br /> | <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/List_of_quarter_tone_pieces" rel="nofollow">List of quartertone pieces on Wikipedia</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:23:&lt;h1&gt; --><h1 id="toc11"><a name="Practical Theory / Books"></a><!-- ws:end:WikiTextHeadingRule:23 -->Practical Theory / Books</h1> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextRemoteImageRule: | <!-- ws:start:WikiTextRemoteImageRule:1106:&lt;img src=&quot;http://ronsword.com/images/24_tet_Coversm.jpg&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 236px; width: 179px;&quot; /&gt; --><img src="http://ronsword.com/images/24_tet_Coversm.jpg" alt="external image 24_tet_Coversm.jpg" title="external image 24_tet_Coversm.jpg" style="height: 236px; width: 179px;" /><!-- ws:end:WikiTextRemoteImageRule:1106 --><strong>&quot;Icosakaiteraphonic Scales for Guitar&quot;</strong> - A Book for Twenty-Four Equal Divisions of the Octave on guitar, or 'Quarter-tones'. Features a practical approach to understanding the tuning, and over 550 Scale Examples on Nine-String finger board charts, which allows for both symmetrical tuning visualization and standard guitar tuning- helpful for bassists and large range guitarists as well. Includes MOS, DE, and *all* the Scales / Modes from the list above.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:25:&lt;h1&gt; --><h1 id="toc12"><a name="External links"></a><!-- ws:end:WikiTextHeadingRule:25 -->External links</h1> | ||
<a class="wiki_link_ext" href="http://tonalsoft.com/enc/q/quarter-tone.aspx" rel="nofollow">quarter-tone / 24-edo - Encyclopedia of Microtonal Music Theory</a> <a class="wiki_link_ext" href="http://www.webcitation.org/5xeFMH6cd" rel="nofollow">Permalink</a><br /> | <a class="wiki_link_ext" href="http://tonalsoft.com/enc/q/quarter-tone.aspx" rel="nofollow">quarter-tone / 24-edo - Encyclopedia of Microtonal Music Theory</a> <a class="wiki_link_ext" href="http://www.webcitation.org/5xeFMH6cd" rel="nofollow">Permalink</a><br /> | ||
<a class="wiki_link_ext" href="http://www.96edo.com/24_EDO.html" rel="nofollow">About 24-EDO</a> by Shaahin Mohajeri <a class="wiki_link_ext" href="http://www.webcitation.org/5xeFBNdQW" rel="nofollow">Permalink</a><br /> | <a class="wiki_link_ext" href="http://www.96edo.com/24_EDO.html" rel="nofollow">About 24-EDO</a> by Shaahin Mohajeri <a class="wiki_link_ext" href="http://www.webcitation.org/5xeFBNdQW" rel="nofollow">Permalink</a><br /> | ||
<a class="wiki_link_ext" href="http://sonic-arts.org/darreg/contents.htm" rel="nofollow">The place of QUARTERTONES in Today's Xenharmonics</a> by Ivor Darreg <a class="wiki_link_ext" href="http://sonic-arts.org/darreg/dar8.htm" rel="nofollow">Permalink</a></body></html></pre></div> | <a class="wiki_link_ext" href="http://sonic-arts.org/darreg/contents.htm" rel="nofollow">The place of QUARTERTONES in Today's Xenharmonics</a> by Ivor Darreg <a class="wiki_link_ext" href="http://sonic-arts.org/darreg/dar8.htm" rel="nofollow">Permalink</a></body></html></pre></div> | ||