Macrotonal: Difference between revisions

Wikispaces>Andrew_Heathwaite
**Imported revision 101989027 - Original comment: **
 
Wikispaces>Andrew_Heathwaite
**Imported revision 111025381 - 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:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2009-11-11 17:09:58 UTC</tt>.<br>
: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2009-12-24 18:58:44 UTC</tt>.<br>
: The original revision id was <tt>101989027</tt>.<br>
: The original revision id was <tt>111025381</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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* [[macrotonal edos|macrotonal edo]] - a scale built from equal divisions of the octave with fewer divisions than 12. This is a finite set of 11 scales.
* [[macrotonal edos|macrotonal edo]] - a scale built from equal divisions of the octave with fewer divisions than 12. This is a finite set of 11 scales.
** [[1edo]], [[2edo]], [[3edo]], [[4edo]], [[5edo]], [[6edo]], [[7edo]], [[8edo]], [[9edo]], [[10edo]], [[11edo]]
** [[1edo]], [[2edo]], [[3edo]], [[4edo]], [[5edo]], [[6edo]], [[7edo]], [[8edo]], [[9edo]], [[10edo]], [[11edo]]
* [[macrotonal edonois|macrotonal edonoi]] - a scale built from equal divisions of a non-octave interval (each of which measures larger than 100 cents). This is an infinite set.
* macrotonal [[edonoi]] - a scale built from equal divisions of a non-octave interval (each of which measures larger than 100 cents). This is an infinite set.
** eg. [[BP|Bohlen-Pierce]], square root of 13:10, [[6edf|6th root of 3:2]] ....
** eg. [[BP|Bohlen-Pierce]], square root of 13:10, [[6edf|6th root of 3:2]] ....
* macrotonal non-equal - another infinite set. The traditional pentatonic scale of [[2L 3s]] (such as you might find on the black keys of the piano) is one easy example. Also:
* macrotonal non-equal - another infinite set. The traditional pentatonic scale of [[2L 3s]] (such as you might find on the black keys of the piano) is one easy example. Also:
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&lt;br /&gt;
&lt;br /&gt;
Some possible further constraints on a macrotonal scale:&lt;br /&gt;
Some possible further constraints on a macrotonal scale:&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/macrotonal%20edos"&gt;macrotonal edo&lt;/a&gt; - a scale built from equal divisions of the octave with fewer divisions than 12. This is a finite set of 11 scales.&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/1edo"&gt;1edo&lt;/a&gt;, &lt;a class="wiki_link" href="/2edo"&gt;2edo&lt;/a&gt;, &lt;a class="wiki_link" href="/3edo"&gt;3edo&lt;/a&gt;, &lt;a class="wiki_link" href="/4edo"&gt;4edo&lt;/a&gt;, &lt;a class="wiki_link" href="/5edo"&gt;5edo&lt;/a&gt;, &lt;a class="wiki_link" href="/6edo"&gt;6edo&lt;/a&gt;, &lt;a class="wiki_link" href="/7edo"&gt;7edo&lt;/a&gt;, &lt;a class="wiki_link" href="/8edo"&gt;8edo&lt;/a&gt;, &lt;a class="wiki_link" href="/9edo"&gt;9edo&lt;/a&gt;, &lt;a class="wiki_link" href="/10edo"&gt;10edo&lt;/a&gt;, &lt;a class="wiki_link" href="/11edo"&gt;11edo&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/macrotonal%20edonois"&gt;macrotonal edonoi&lt;/a&gt; - a scale built from equal divisions of a non-octave interval (each of which measures larger than 100 cents). This is an infinite set.&lt;ul&gt;&lt;li&gt;eg. &lt;a class="wiki_link" href="/BP"&gt;Bohlen-Pierce&lt;/a&gt;, square root of 13:10, &lt;a class="wiki_link" href="/6edf"&gt;6th root of 3:2&lt;/a&gt; ....&lt;/li&gt;&lt;/ul&gt;&lt;/li&gt;&lt;li&gt;macrotonal non-equal - another infinite set. The traditional pentatonic scale of &lt;a class="wiki_link" href="/2L%203s"&gt;2L 3s&lt;/a&gt; (such as you might find on the black keys of the piano) is one easy example. Also:&lt;ul&gt;&lt;li&gt;9-note &lt;a class="wiki_link" href="/Orwell"&gt;Orwell&lt;/a&gt;, &lt;a class="wiki_link" href="/17edo%20neutral%20scale"&gt;17edo neutral scale&lt;/a&gt;, overtones 5-10, &lt;a class="wiki_link" href="/pelog"&gt;pelog&lt;/a&gt; &amp;amp; &lt;a class="wiki_link" href="/slendro"&gt;slendro&lt;/a&gt;....&lt;/li&gt;&lt;/ul&gt;&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/macrotonal%20edos"&gt;macrotonal edo&lt;/a&gt; - a scale built from equal divisions of the octave with fewer divisions than 12. This is a finite set of 11 scales.&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/1edo"&gt;1edo&lt;/a&gt;, &lt;a class="wiki_link" href="/2edo"&gt;2edo&lt;/a&gt;, &lt;a class="wiki_link" href="/3edo"&gt;3edo&lt;/a&gt;, &lt;a class="wiki_link" href="/4edo"&gt;4edo&lt;/a&gt;, &lt;a class="wiki_link" href="/5edo"&gt;5edo&lt;/a&gt;, &lt;a class="wiki_link" href="/6edo"&gt;6edo&lt;/a&gt;, &lt;a class="wiki_link" href="/7edo"&gt;7edo&lt;/a&gt;, &lt;a class="wiki_link" href="/8edo"&gt;8edo&lt;/a&gt;, &lt;a class="wiki_link" href="/9edo"&gt;9edo&lt;/a&gt;, &lt;a class="wiki_link" href="/10edo"&gt;10edo&lt;/a&gt;, &lt;a class="wiki_link" href="/11edo"&gt;11edo&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;/li&gt;&lt;li&gt;macrotonal &lt;a class="wiki_link" href="/edonoi"&gt;edonoi&lt;/a&gt; - a scale built from equal divisions of a non-octave interval (each of which measures larger than 100 cents). This is an infinite set.&lt;ul&gt;&lt;li&gt;eg. &lt;a class="wiki_link" href="/BP"&gt;Bohlen-Pierce&lt;/a&gt;, square root of 13:10, &lt;a class="wiki_link" href="/6edf"&gt;6th root of 3:2&lt;/a&gt; ....&lt;/li&gt;&lt;/ul&gt;&lt;/li&gt;&lt;li&gt;macrotonal non-equal - another infinite set. The traditional pentatonic scale of &lt;a class="wiki_link" href="/2L%203s"&gt;2L 3s&lt;/a&gt; (such as you might find on the black keys of the piano) is one easy example. Also:&lt;ul&gt;&lt;li&gt;9-note &lt;a class="wiki_link" href="/Orwell"&gt;Orwell&lt;/a&gt;, &lt;a class="wiki_link" href="/17edo%20neutral%20scale"&gt;17edo neutral scale&lt;/a&gt;, overtones 5-10, &lt;a class="wiki_link" href="/pelog"&gt;pelog&lt;/a&gt; &amp;amp; &lt;a class="wiki_link" href="/slendro"&gt;slendro&lt;/a&gt;....&lt;/li&gt;&lt;/ul&gt;&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>