EDO: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

: This revision was by author [[User:~~Osmiorisbendi~~|~~Osmiorisbendi~~]] and made on <tt>~~2010~~-09-15 22:~~43:59~~ UTC</tt>.

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-02-14 13:22:42 UTC</tt>.

: The original revision id was <tt>~~163032819~~</tt>.

: The original revision id was <tt>201644494</tt>.

: The revision comment was: <tt></tt>

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

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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 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 [[Patent vals|patent val]] can be regarded as automatically tempering it to the corresponding regular temperament.

All of these tools are also applicable to equal divisions of other ([[nonoctave]]) intervals as well.

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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.

On the other hand, if you use the edo to tune a scale or <a class="wiki_link" href="/regular%20temperament">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 <a class="wiki_link" href="/Patent%20vals">patent val</a> can be regarded as automatically tempering it to the corresponding regular temperament.

All of these tools are also applicable to equal divisions of other (<a class="wiki_link" href="/nonoctave">nonoctave</a>) intervals as well.

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2010-09-15 22:43:59 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-02-14 13:22:42 UTC</tt>.<br>
-: The original revision id was <tt>163032819</tt>.<br>
+: The original revision id was <tt>201644494</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>
@@ Line 23: / Line 23: @@
 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 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 [[Patent vals|patent val]] can be regarded as automatically tempering it to the corresponding regular temperament.
 All of these tools are also applicable to equal divisions of other ([[nonoctave]]) intervals as well.
@@ Line 60: / Line 62: @@
 &lt;br /&gt;
 When an edo divides the octave into fewer than 12 divisions (so that each step exceeds 100 cents), you might call it a &lt;a class="wiki_link" href="/macrotonal%20edos"&gt;macrotonal edo&lt;/a&gt;. 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. &lt;br /&gt;
+&lt;br /&gt;
+On the other hand, if you use the edo to tune a scale or &lt;a class="wiki_link" href="/regular%20temperament"&gt;regular temperament&lt;/a&gt;, 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 &lt;a class="wiki_link" href="/optimal%20patent%20val"&gt;optimal patent val&lt;/a&gt; page. Tuning a scale in just intonation by one of these &lt;a class="wiki_link" href="/Patent%20vals"&gt;patent val&lt;/a&gt; can be regarded as automatically tempering it to the corresponding regular temperament.&lt;br /&gt;
 &lt;br /&gt;
 All of these tools are also applicable to equal divisions of other (&lt;a class="wiki_link" href="/nonoctave"&gt;nonoctave&lt;/a&gt;) intervals as well.&lt;br /&gt;