Distributional evenness: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Wikispaces>keenanpepper
**Imported revision 275252458 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 275398602 - Original comment: **
Line 1: Line 1:
<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 13:31:51 UTC</tt>.<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>275252458</tt>.<br>
: The original revision id was <tt>275398602</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>
Line 8: Line 8:
<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.
<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 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>
<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 (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;
<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 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>

Revision as of 18:52, 14 November 2011

IMPORTED REVISION FROM WIKISPACES

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

This revision was by author genewardsmith and made on 2011-11-14 18:52:01 UTC.
The original revision id was 275398602.
The revision comment was:

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

Original Wikitext content:

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.

Original HTML content:

<html><head><title>Distributional Evenness</title></head><body>A scale is <strong>distributionally even (DE)</strong> if it has <a class="wiki_link" href="/maximum%20variety">maximum variety</a> 2; that is, each class of interval (&quot;seconds&quot;, &quot;thirds&quot;, and so on) contains <strong>no more than</strong> two specific intervals.<br />
<br />
In practice, such scales are often referred to as &quot;<a class="wiki_link" href="/MOSScales">MOS</a>&quot; scales, but some consider this usage to be technically incorrect because a MOS as defined by <a class="wiki_link" href="/Erv%20Wilson">Erv Wilson</a> was to have <strong>exactly</strong> 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 <a class="wiki_link" href="/pajara">pajara</a>, <a class="wiki_link" href="/Augmented%20family">augmented</a>, <a class="wiki_link" href="/diminished">diminished</a>, etc. were not among them.</body></html>