EDO: Difference between revisions
Wikispaces>genewardsmith **Imported revision 220046970 - Original comment: ** |
Wikispaces>Osmiorisbendi **Imported revision 233073776 - 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:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2011-05-31 05:31:23 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>233073776</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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<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;white-space: pre-wrap ! important" class="old-revision-html">=E.D.O.= | <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;white-space: pre-wrap ! important" class="old-revision-html">=E.D.O.= | ||
EDO, used here, means //not// [[http://en.wikipedia.org/wiki/Edo_period|the period of Japanese history]] (and musical tradition), but [[Equal]] | EDO, used here, means //not// [[http://en.wikipedia.org/wiki/Edo_period|the period of Japanese history]] (and musical tradition), but yes, **[[Equal]] Divisions of the [[Octave]]**. | ||
=What are EDO scales like?= | =What are EDO scales like?= | ||
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The [[MOSScales|Moments of Symmetry]] paradigm is a fascinating way of thinking about building sub-scales of EDOs and relating them to non-EDO scales. | The [[MOSScales|Moments of Symmetry]] paradigm is a fascinating way of thinking about building sub-scales of EDOs and relating them to non-EDO scales. | ||
When an edo divides the octave into fewer than 12 divisions (so that each step exceeds 100 cents), you might call it a [[macrotonal edos|macrotonal edo]]. Of these, 1, 2, 3, 4 and 6 divide 12 and so are already available to anyone wishing to explore them. The 5, 7 and 9 edos have arguably been used in various kinds of musical traditions in different parts of the world. | When an edo divides the octave into fewer than 12 divisions (so that each step exceeds 100 cents), you might call it a [[macrotonal edos|macrotonal edo]]. Of these, 1, 2, 3, 4 and 6 divide 12 and so are already available to anyone wishing to explore them. The 5, 7 and 9 edos have arguably been used in various kinds of musical traditions in different parts of the world. | ||
On the other hand, if you use the edo to tune a scale or [[Regular temperaments|regular temperament]], the size of the edo does not matter so much, as you don't need to use all of it. Some of the edos which can be used to tune various temperaments are listed on the [[optimal patent val]] page. Tuning a scale in just intonation by one of these edos can be regarded as automatically tempering it to the corresponding regular temperament. | On the other hand, if you use the edo to tune a scale or [[Regular temperaments|regular temperament]], the size of the edo does not matter so much, as you don't need to use all of it. Some of the edos which can be used to tune various temperaments are listed on the [[optimal patent val]] page. Tuning a scale in just intonation by one of these edos can be regarded as automatically tempering it to the corresponding regular temperament. | ||
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|| || || [[87edo]] || [[88edo]] || [[89edo]] || || [[91edo]] || || || [[94edo]] || || [[96edo]] || | || || || [[87edo]] || [[88edo]] || [[89edo]] || || [[91edo]] || || || [[94edo]] || || [[96edo]] || | ||
|| || || [[99edo]] || || [[101edo]] || [[102edo]] || [[103edo]] || [[104edo]] || [[105edo]] || || || || | || || || [[99edo]] || || [[101edo]] || [[102edo]] || [[103edo]] || [[104edo]] || [[105edo]] || || || || | ||
|| [[109edo]] | || [[109edo]] || || [[111edo]] || || || [[114edo]] || || || || [[118edo]] || || || | ||
|| [[121edo]] || [[122edo]] || || || [[125edo]] || || [[127edo]] || | || [[121edo]] || [[122edo]] || || || [[125edo]] || || [[127edo]] || [[128edo]] || [[129edo]] || [[130edo]] || [[131edo]] || || | ||
|| || || || || [[137edo]] || || || [[140edo]] || || [[142edo]] || || || | || || || || || [[137edo]] || || || [[140edo]] || || [[142edo]] || || || | ||
|| [[145edo]] || || [[147edo]] || [[148edo]] || [[149edo]] || || || [[152edo]] || || [[154edo]] || || || | || [[145edo]] || || [[147edo]] || [[148edo]] || [[149edo]] || || || [[152edo]] || || [[154edo]] || || || | ||
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and so on. Some larger systems include [[253edo]], [[270edo]], [[283edo]], [[284edo]], [[289edo]], [[311edo]], [[346edo]], [[347edo]], [[359edo]], [[383edo]], [[441edo]], [[494edo]], [[612edo]], [[665edo]], [[771edo]], [[940edo]], [[971edo]], [[2460edo]], [[2966edo]], [[6079edo]], [[15601edo]] | and so on. Some larger systems include [[253edo]], [[270edo]], [[283edo]], [[284edo]], [[289edo]], [[311edo]], [[346edo]], [[347edo]], [[359edo]], [[383edo]], [[441edo]], [[494edo]], [[612edo]], [[665edo]], [[771edo]], [[940edo]], [[971edo]], [[2460edo]], [[2966edo]], [[6079edo]], [[15601edo]] | ||
=Articles= | =Articles= | ||
[[http://www.webcitation.org/5xZz8RtQB|Teen Tunes]] by Ivor Darreg</pre></div> | [[http://www.webcitation.org/5xZz8RtQB|Teen Tunes]] by Ivor Darreg</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>EDO</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="E.D.O."></a><!-- ws:end:WikiTextHeadingRule:0 -->E.D.O.</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>EDO</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="E.D.O."></a><!-- ws:end:WikiTextHeadingRule:0 -->E.D.O.</h1> | ||
<br /> | <br /> | ||
EDO, used here, means <em>not</em> <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Edo_period" rel="nofollow">the period of Japanese history</a> (and musical tradition), but <a class="wiki_link" href="/Equal">Equal</a> | EDO, used here, means <em>not</em> <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Edo_period" rel="nofollow">the period of Japanese history</a> (and musical tradition), but yes, <strong><a class="wiki_link" href="/Equal">Equal</a> Divisions of the <a class="wiki_link" href="/Octave">Octave</a></strong>.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="What are EDO scales like?"></a><!-- ws:end:WikiTextHeadingRule:2 -->What are EDO scales like?</h1> | <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="What are EDO scales like?"></a><!-- ws:end:WikiTextHeadingRule:2 -->What are EDO scales like?</h1> | ||
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The <a class="wiki_link" href="/MOSScales">Moments of Symmetry</a> paradigm is a fascinating way of thinking about building sub-scales of EDOs and relating them to non-EDO scales.<br /> | The <a class="wiki_link" href="/MOSScales">Moments of Symmetry</a> paradigm is a fascinating way of thinking about building sub-scales of EDOs and relating them to non-EDO scales.<br /> | ||
<br /> | <br /> | ||
When an edo divides the octave into fewer than 12 divisions (so that each step exceeds 100 cents), you might call it a <a class="wiki_link" href="/macrotonal%20edos">macrotonal edo</a>. Of these, 1, 2, 3, 4 and 6 divide 12 and so are already available to anyone wishing to explore them. The 5, 7 and 9 edos have arguably been used in various kinds of musical traditions in different parts of the world. <br /> | When an edo divides the octave into fewer than 12 divisions (so that each step exceeds 100 cents), you might call it a <a class="wiki_link" href="/macrotonal%20edos">macrotonal edo</a>. Of these, 1, 2, 3, 4 and 6 divide 12 and so are already available to anyone wishing to explore them. The 5, 7 and 9 edos have arguably been used in various kinds of musical traditions in different parts of the world.<br /> | ||
<br /> | <br /> | ||
On the other hand, if you use the edo to tune a scale or <a class="wiki_link" href="/Regular%20temperaments">regular temperament</a>, the size of the edo does not matter so much, as you don't need to use all of it. Some of the edos which can be used to tune various temperaments are listed on the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> page. Tuning a scale in just intonation by one of these edos can be regarded as automatically tempering it to the corresponding regular temperament.<br /> | On the other hand, if you use the edo to tune a scale or <a class="wiki_link" href="/Regular%20temperaments">regular temperament</a>, the size of the edo does not matter so much, as you don't need to use all of it. Some of the edos which can be used to tune various temperaments are listed on the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> page. Tuning a scale in just intonation by one of these edos can be regarded as automatically tempering it to the corresponding regular temperament.<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Articles"></a><!-- ws:end:WikiTextHeadingRule:8 -->Articles</h1> | <!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Articles"></a><!-- ws:end:WikiTextHeadingRule:8 -->Articles</h1> | ||
<a class="wiki_link_ext" href="http://www.webcitation.org/5xZz8RtQB" rel="nofollow">Teen Tunes</a> by Ivor Darreg</body></html></pre></div> | <a class="wiki_link_ext" href="http://www.webcitation.org/5xZz8RtQB" rel="nofollow">Teen Tunes</a> by Ivor Darreg</body></html></pre></div> | ||