Distributional evenness: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
A scale is '''distributionally even (DE)''' if it has [[Maximum_variety|maximum variety]] 2; that is, each class of interval ("seconds", "thirds", and so on) contains '''no more than''' two specific intervals.
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-11-14 18:52:01 UTC</tt>.<br>
: The original revision id was <tt>275398602</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">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 some consider this usage to be technically incorrect because a MOS as defined by [[Erv Wilson]] was to have **exactly** two specific intervals for each class other than multiples of the octave. When Wilson discovered MOS scales and found numerous examples, DE scales with period a fraction of an octave 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 some consider this usage to be technically incorrect because a MOS as defined by [[Erv_Wilson|Erv Wilson]] was to have '''exactly''' two specific intervals for each class other than multiples of the octave. When Wilson discovered MOS scales and found numerous examples, DE scales with period a fraction of an octave such as [[pajara|pajara]], [[Augmented_family|augmented]], [[Diminished|diminished]], etc. were not among them.
<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 (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;
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 some consider this usage to be technically incorrect because a MOS as defined by &lt;a class="wiki_link" href="/Erv%20Wilson"&gt;Erv Wilson&lt;/a&gt; was to have &lt;strong&gt;exactly&lt;/strong&gt; two specific intervals for each class other than multiples of the octave. When Wilson discovered MOS scales and found numerous examples, DE scales with period a fraction of an octave 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>