Distributional evenness: Difference between revisions

Wikispaces>keenanpepper
**Imported revision 275251658 - Original comment: **
 
Wikispaces>keenanpepper
**Imported revision 275252458 - 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:keenanpepper|keenanpepper]] and made on <tt>2011-11-14 13:30:09 UTC</tt>.<br>
: This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2011-11-14 13:31:51 UTC</tt>.<br>
: The original revision id was <tt>275251658</tt>.<br>
: The original revision id was <tt>275252458</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>
<h4>Original Wikitext content:</h4>
<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">A scale is **distributionally even** if it has [[maximum variety]] 2; that is, each class of interval ("seconds", "thirds", and so on) contains **no more than** two specific intervals.
<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">A scale is **distributionally even (DE)** if it has [[maximum variety]] 2; that is, each class of interval ("seconds", "thirds", and so on) contains **no more than** two specific intervals.


In practice, such scales are often referred to as "[[MOSScales|MOS]]" scales, but this usage is technically incorrect because a MOS is defined to have **exactly** two specific intervals for each class other than multiples of the octave. When [[Erv Wilson]] discovered MOS scales and found numerous examples, DE scales that are not technically MOS such as [[pajara]], [[Augmented family|augmented]], [[diminished]], etc. were not among them.</pre></div>
In practice, such scales are often referred to as "[[MOSScales|MOS]]" scales, but this usage is technically incorrect because a MOS is defined to have **exactly** two specific intervals for each class other than multiples of the octave. When [[Erv Wilson]] discovered MOS scales and found numerous examples, DE scales that are not technically MOS such as [[pajara]], [[Augmented family|augmented]], [[diminished]], etc. were not among them.</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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Distributional Evenness&lt;/title&gt;&lt;/head&gt;&lt;body&gt;A scale is &lt;strong&gt;distributionally even&lt;/strong&gt; if it has &lt;a class="wiki_link" href="/maximum%20variety"&gt;maximum variety&lt;/a&gt; 2; that is, each class of interval (&amp;quot;seconds&amp;quot;, &amp;quot;thirds&amp;quot;, and so on) contains &lt;strong&gt;no more than&lt;/strong&gt; two specific intervals.&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;Distributional Evenness&lt;/title&gt;&lt;/head&gt;&lt;body&gt;A scale is &lt;strong&gt;distributionally even (DE)&lt;/strong&gt; if it has &lt;a class="wiki_link" href="/maximum%20variety"&gt;maximum variety&lt;/a&gt; 2; that is, each class of interval (&amp;quot;seconds&amp;quot;, &amp;quot;thirds&amp;quot;, and so on) contains &lt;strong&gt;no more than&lt;/strong&gt; two specific intervals.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
In practice, such scales are often referred to as &amp;quot;&lt;a class="wiki_link" href="/MOSScales"&gt;MOS&lt;/a&gt;&amp;quot; scales, but this usage is technically incorrect because a MOS is defined to have &lt;strong&gt;exactly&lt;/strong&gt; two specific intervals for each class other than multiples of the octave. When &lt;a class="wiki_link" href="/Erv%20Wilson"&gt;Erv Wilson&lt;/a&gt; discovered MOS scales and found numerous examples, DE scales that are not technically MOS such as &lt;a class="wiki_link" href="/pajara"&gt;pajara&lt;/a&gt;, &lt;a class="wiki_link" href="/Augmented%20family"&gt;augmented&lt;/a&gt;, &lt;a class="wiki_link" href="/diminished"&gt;diminished&lt;/a&gt;, etc. were not among them.&lt;/body&gt;&lt;/html&gt;</pre></div>
In practice, such scales are often referred to as &amp;quot;&lt;a class="wiki_link" href="/MOSScales"&gt;MOS&lt;/a&gt;&amp;quot; scales, but this usage is technically incorrect because a MOS is defined to have &lt;strong&gt;exactly&lt;/strong&gt; two specific intervals for each class other than multiples of the octave. When &lt;a class="wiki_link" href="/Erv%20Wilson"&gt;Erv Wilson&lt;/a&gt; discovered MOS scales and found numerous examples, DE scales that are not technically MOS such as &lt;a class="wiki_link" href="/pajara"&gt;pajara&lt;/a&gt;, &lt;a class="wiki_link" href="/Augmented%20family"&gt;augmented&lt;/a&gt;, &lt;a class="wiki_link" href="/diminished"&gt;diminished&lt;/a&gt;, etc. were not among them.&lt;/body&gt;&lt;/html&gt;</pre></div>