Macrotonal: 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:<br>

: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2009-12-24 18:58:44 UTC</tt>.<br>

: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2009-12-24 20:45:51 UTC</tt>.<br>

: The original revision id was <tt>~~111025381~~</tt>.<br>

: The original revision id was <tt>111027049</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>

<h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">"Macrotonal" may mean "containing no steps the size of a semitone or ~~larger~~". If we use the 12edo semitone as a standard, that would mean no steps larger than 100 cents. Any scale that fits that simple constraint could be called a macrotonal scale.

<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">"Macrotonal" may mean "containing no steps the size of a semitone or smaller". If we use the 12edo semitone as a standard, that would mean no steps larger than 100 cents. Any scale that fits that simple constraint could be called a macrotonal scale.

Some possible further constraints on a macrotonal scale:

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** 9-note [[Orwell]], [[17edo neutral scale]], overtones 5-10, [[pelog]] & [[slendro]]....</pre></div>

<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>macrotonal</title></head><body>&quot;Macrotonal&quot; may mean &quot;containing no steps the size of a semitone or ~~larger~~&quot;. If we use the 12edo semitone as a standard, that would mean no steps larger than 100 cents. Any scale that fits that simple constraint could be called a macrotonal scale.<br />

<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>macrotonal</title></head><body>&quot;Macrotonal&quot; may mean &quot;containing no steps the size of a semitone or smaller&quot;. If we use the 12edo semitone as a standard, that would mean no steps larger than 100 cents. Any scale that fits that simple constraint could be called a macrotonal scale.<br />

<br />

Some possible further constraints on a macrotonal scale:<br />

<ul><li><a class="wiki_link" href="/macrotonal%20edos">macrotonal edo</a> - a scale built from equal divisions of the octave with fewer divisions than 12. This is a finite set of 11 scales.<ul><li><a class="wiki_link" href="/1edo">1edo</a>, <a class="wiki_link" href="/2edo">2edo</a>, <a class="wiki_link" href="/3edo">3edo</a>, <a class="wiki_link" href="/4edo">4edo</a>, <a class="wiki_link" href="/5edo">5edo</a>, <a class="wiki_link" href="/6edo">6edo</a>, <a class="wiki_link" href="/7edo">7edo</a>, <a class="wiki_link" href="/8edo">8edo</a>, <a class="wiki_link" href="/9edo">9edo</a>, <a class="wiki_link" href="/10edo">10edo</a>, <a class="wiki_link" href="/11edo">11edo</a></li></ul></li><li>macrotonal <a class="wiki_link" href="/edonoi">edonoi</a> - a scale built from equal divisions of a non-octave interval (each of which measures larger than 100 cents). This is an infinite set.<ul><li>eg. <a class="wiki_link" href="/BP">Bohlen-Pierce</a>, square root of 13:10, <a class="wiki_link" href="/6edf">6th root of 3:2</a> ....</li></ul></li><li>macrotonal non-equal - another infinite set. The traditional pentatonic scale of <a class="wiki_link" href="/2L%203s">2L 3s</a> (such as you might find on the black keys of the piano) is one easy example. Also:<ul><li>9-note <a class="wiki_link" href="/Orwell">Orwell</a>, <a class="wiki_link" href="/17edo%20neutral%20scale">17edo neutral scale</a>, overtones 5-10, <a class="wiki_link" href="/pelog">pelog</a> &amp; <a class="wiki_link" href="/slendro">slendro</a>....</li></ul></li></ul></body></html></pre></div>

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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:<br>
-: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2009-12-24 18:58:44 UTC</tt>.<br>
+: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2009-12-24 20:45:51 UTC</tt>.<br>
-: The original revision id was <tt>111025381</tt>.<br>
+: The original revision id was <tt>111027049</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>
 <h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">"Macrotonal" may mean "containing no steps the size of a semitone or larger". If we use the 12edo semitone as a standard, that would mean no steps larger than 100 cents. Any scale that fits that simple constraint could be called a macrotonal scale.
+<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">"Macrotonal" may mean "containing no steps the size of a semitone or smaller". If we use the 12edo semitone as a standard, that would mean no steps larger than 100 cents. Any scale that fits that simple constraint could be called a macrotonal scale.
 Some possible further constraints on a macrotonal scale:
@@ Line 16: / Line 16: @@
 ** 9-note [[Orwell]], [[17edo neutral scale]], overtones 5-10, [[pelog]] &amp; [[slendro]]....</pre></div>
 <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">&lt;html&gt;&lt;head&gt;&lt;title&gt;macrotonal&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&amp;quot;Macrotonal&amp;quot; may mean &amp;quot;containing no steps the size of a semitone or larger&amp;quot;. If we use the 12edo semitone as a standard, that would mean no steps larger than 100 cents. Any scale that fits that simple constraint could be called a macrotonal scale.&lt;br /&gt;
+<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;macrotonal&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&amp;quot;Macrotonal&amp;quot; may mean &amp;quot;containing no steps the size of a semitone or smaller&amp;quot;. If we use the 12edo semitone as a standard, that would mean no steps larger than 100 cents. Any scale that fits that simple constraint could be called a macrotonal scale.&lt;br /&gt;
 &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;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>