Armodue theory: Difference between revisions
Wikispaces>Osmiorisbendi **Imported revision 222448818 - Original comment: ** |
Wikispaces>hstraub **Imported revision 240208729 - 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: | : This revision was by author [[User:hstraub|hstraub]] and made on <tt>2011-07-06 11:41:24 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>240208729</tt>.<br> | ||
: The revision comment was: <tt></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> | The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | ||
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Armodue Neck Inlays | Armodue Neck Inlays | ||
XXX</pre></div> | =Armodue just intonation - connection to Lou Harrison and Andrián Pertout= | ||
Armodue Just Intonation is nothing else then the 16-note scale by Lou Harrison based on simple ratios and pure intervals. In this scale there are practically the same twelve intervals of the "natural" or "Zarlinian" scale (the semitone 16/15, the minor wholetone 10/9, the minor third 6/5, the major third 5/4, the pure forth and fifth 4/3 and 3/2, the minor sixth 8/5, the major sixth 5/3, the minor seventh that is the complement of the minor wholetone 9/5, the major seventh 15/8) in addtion to the tritone and four other intervals that are based on the harmonic seventh (the ratios 8/7, 7/6, 12/7, 7/4). | |||
The composer Andrián Pertout used a very similar scale in his composition "Sonus dulcis" ([[http://web.archive.org/web/20040511172650/http://www.users.bigpond.com/apertout/Sonus.htm|article on archive.org]]) | |||
XXX | |||
=Semi-equalized Armodue= | |||
One step of 16edo (75 cents) is nearly equal to two steps of [[31edo]] (77.4 cents). If we take the latter as a base, we get semi-equalized Armodue. In this temperament there is inevitably a smaller microtone (eka between the notes # 7 and 8). | |||
XXX According to the 31EDO site, this is called "Valentine temperament"... | |||
Semi-equalized Armodue provides a balance between the symmetry of the equalized system and the purity of natural intervals (intervals of semi-equalized Armodue are very pure and at the same time it preserves the symmetry of the system almost unchanged and the amplitude of Eka).</pre></div> | |||
<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>Armodue theory</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Armodue Theory of 16EDO"></a><!-- ws:end:WikiTextHeadingRule:0 -->Armodue Theory of 16EDO</h1> | <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>Armodue theory</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Armodue Theory of 16EDO"></a><!-- ws:end:WikiTextHeadingRule:0 -->Armodue Theory of 16EDO</h1> | ||
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<td><!-- ws:start:WikiTextRemoteImageRule: | <td><!-- ws:start:WikiTextRemoteImageRule:37:&lt;img src=&quot;http://www.armodue.com/TETR-%5B1%5D.jpg&quot; alt=&quot;copyright Armodue, used with permission&quot; title=&quot;copyright Armodue, used with permission&quot; /&gt; --><table class="captionBox"><tr><td class="captionedImage"><img src="http://www.armodue.com/TETR-%5B1%5D.jpg" alt="copyright Armodue, used with permission" title="copyright Armodue, used with permission" /></td></tr><tr><td class="imageCaption">copyright Armodue, used with permission</td></tr></table><!-- ws:end:WikiTextRemoteImageRule:37 --><br /> | ||
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<td><!-- ws:start:WikiTextRemoteImageRule: | <td><!-- ws:start:WikiTextRemoteImageRule:38:&lt;img src=&quot;http://www.armodue.com/Chiave.gif&quot; alt=&quot;copyright Armodue, used with permission&quot; title=&quot;copyright Armodue, used with permission&quot; /&gt; --><table class="captionBox"><tr><td class="captionedImage"><img src="http://www.armodue.com/Chiave.gif" alt="copyright Armodue, used with permission" title="copyright Armodue, used with permission" /></td></tr><tr><td class="imageCaption">copyright Armodue, used with permission</td></tr></table><!-- ws:end:WikiTextRemoteImageRule:38 --><br /> | ||
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<td><!-- ws:start:WikiTextRemoteImageRule: | <td><!-- ws:start:WikiTextRemoteImageRule:39:&lt;img src=&quot;http://www.armodue.com/Tastiera.jpg&quot; alt=&quot;copyright Armodue, used by permission&quot; title=&quot;copyright Armodue, used by permission&quot; /&gt; --><table class="captionBox"><tr><td class="captionedImage"><img src="http://www.armodue.com/Tastiera.jpg" alt="copyright Armodue, used by permission" title="copyright Armodue, used by permission" /></td></tr><tr><td class="imageCaption">copyright Armodue, used by permission</td></tr></table><!-- ws:end:WikiTextRemoteImageRule:39 --><br /> | ||
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Armodue Neck Inlays<br /> | Armodue Neck Inlays<br /> | ||
<br /> | <br /> | ||
XXX</body></html></pre></div> | <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Armodue just intonation - connection to Lou Harrison and Andrián Pertout"></a><!-- ws:end:WikiTextHeadingRule:2 -->Armodue just intonation - connection to Lou Harrison and Andrián Pertout</h1> | ||
<br /> | |||
Armodue Just Intonation is nothing else then the 16-note scale by Lou Harrison based on simple ratios and pure intervals. In this scale there are practically the same twelve intervals of the &quot;natural&quot; or &quot;Zarlinian&quot; scale (the semitone 16/15, the minor wholetone 10/9, the minor third 6/5, the major third 5/4, the pure forth and fifth 4/3 and 3/2, the minor sixth 8/5, the major sixth 5/3, the minor seventh that is the complement of the minor wholetone 9/5, the major seventh 15/8) in addtion to the tritone and four other intervals that are based on the harmonic seventh (the ratios 8/7, 7/6, 12/7, 7/4).<br /> | |||
<br /> | |||
The composer Andrián Pertout used a very similar scale in his composition &quot;Sonus dulcis&quot; (<a class="wiki_link_ext" href="http://web.archive.org/web/20040511172650/http://www.users.bigpond.com/apertout/Sonus.htm" rel="nofollow">article on archive.org</a>)<br /> | |||
<br /> | |||
XXX<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Semi-equalized Armodue"></a><!-- ws:end:WikiTextHeadingRule:4 -->Semi-equalized Armodue</h1> | |||
<br /> | |||
One step of 16edo (75 cents) is nearly equal to two steps of <a class="wiki_link" href="/31edo">31edo</a> (77.4 cents). If we take the latter as a base, we get semi-equalized Armodue. In this temperament there is inevitably a smaller microtone (eka between the notes # 7 and 8).<br /> | |||
<br /> | |||
XXX According to the 31EDO site, this is called &quot;Valentine temperament&quot;...<br /> | |||
<br /> | |||
Semi-equalized Armodue provides a balance between the symmetry of the equalized system and the purity of natural intervals (intervals of semi-equalized Armodue are very pure and at the same time it preserves the symmetry of the system almost unchanged and the amplitude of Eka).</body></html></pre></div> | |||