Equal-step tuning: Difference between revisions

Wikispaces>hstraub
**Imported revision 6751555 - Original comment: 41edo, 46edo**
Wikispaces>guest
**Imported revision 7676049 - 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:hstraub|hstraub]] and made on <tt>2007-08-11 06:44:16 UTC</tt>.<br>
: This revision was by author [[User:guest|guest]] and made on <tt>2007-09-07 19:54:00 UTC</tt>.<br>
: The original revision id was <tt>6751555</tt>.<br>
: The original revision id was <tt>7676049</tt>.<br>
: The revision comment was: <tt>41edo, 46edo</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">An Equal Temperament, in the most general sense, is a tuning in which every single step is the same interval; an equal-step scale. This single-step interval is often described as a fraction of another interval—the divisions paradigm, if you will—but it can also be explicitly given.
<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">An Equal Temperament, in the most general sense, is a tuning in which every single step is the same interval; an equal-step scale. This single-step interval is often described as a fraction of another interval—the divisions paradigm, if you will—but it can also be explicitly given.


There is a convention which takes "X tone equal temperament" to mean "X divisions of 2/1, the octave"; this is abbreviated tET or some variant. Because "equal //temperament//" literally refers to treating these scales as [[temperament|temperaments]] of JI, the less loaded term //EDO//, meaning "equal divisions of the octave", introduced by Dan Stearns and later popularized by Joe Monzo, is helpful especially for denoting scales that do not even //try// to resemble JI.
There is a convention which takes "X tone equal temperament" to mean "X divisions of 2/1, the octave"; this is abbreviated tET or some variant. Because "equal //temperament//" literally refers to treating these scales as [[temperament|temperaments]] of JI, the less loaded term //EDO//, meaning "equal divisions of the octave", popularized by Joe Monzo, is helpful especially for denoting scales that do not even //try// to resemble JI.


There are other less standard terms, many in the [[http://www.tonalsoft.com/enc/encyclopedia.aspx|Tonalsoft Encyclopedia]].
There are other less standard terms, many in the [[http://www.tonalsoft.com/enc/encyclopedia.aspx|Tonalsoft Encyclopedia]].
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<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;Equal-step Tuning&lt;/title&gt;&lt;/head&gt;&lt;body&gt;An Equal Temperament, in the most general sense, is a tuning in which every single step is the same interval; an equal-step scale. This single-step interval is often described as a fraction of another interval—the divisions paradigm, if you will—but it can also be explicitly given.&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;Equal-step Tuning&lt;/title&gt;&lt;/head&gt;&lt;body&gt;An Equal Temperament, in the most general sense, is a tuning in which every single step is the same interval; an equal-step scale. This single-step interval is often described as a fraction of another interval—the divisions paradigm, if you will—but it can also be explicitly given.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
There is a convention which takes &amp;quot;X tone equal temperament&amp;quot; to mean &amp;quot;X divisions of 2/1, the octave&amp;quot;; this is abbreviated tET or some variant. Because &amp;quot;equal &lt;em&gt;temperament&lt;/em&gt;&amp;quot; literally refers to treating these scales as &lt;a class="wiki_link" href="/temperament"&gt;temperaments&lt;/a&gt; of JI, the less loaded term &lt;em&gt;EDO&lt;/em&gt;, meaning &amp;quot;equal divisions of the octave&amp;quot;, introduced by Dan Stearns and later popularized by Joe Monzo, is helpful especially for denoting scales that do not even &lt;em&gt;try&lt;/em&gt; to resemble JI.&lt;br /&gt;
There is a convention which takes &amp;quot;X tone equal temperament&amp;quot; to mean &amp;quot;X divisions of 2/1, the octave&amp;quot;; this is abbreviated tET or some variant. Because &amp;quot;equal &lt;em&gt;temperament&lt;/em&gt;&amp;quot; literally refers to treating these scales as &lt;a class="wiki_link" href="/temperament"&gt;temperaments&lt;/a&gt; of JI, the less loaded term &lt;em&gt;EDO&lt;/em&gt;, meaning &amp;quot;equal divisions of the octave&amp;quot;, popularized by Joe Monzo, is helpful especially for denoting scales that do not even &lt;em&gt;try&lt;/em&gt; to resemble JI.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
There are other less standard terms, many in the &lt;a class="wiki_link_ext" href="http://www.tonalsoft.com/enc/encyclopedia.aspx" rel="nofollow"&gt;Tonalsoft Encyclopedia&lt;/a&gt;.&lt;br /&gt;
There are other less standard terms, many in the &lt;a class="wiki_link_ext" href="http://www.tonalsoft.com/enc/encyclopedia.aspx" rel="nofollow"&gt;Tonalsoft Encyclopedia&lt;/a&gt;.&lt;br /&gt;