80edo: 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:guest|guest]] and made on <tt>2012-08-~~29 07~~:58:11 UTC</tt>.<br>

: This revision was by author [[User:guest|guest]] and made on <tt>2012-08-30 19:51:04 UTC</tt>.<br>

: The original revision id was <tt>~~360658808~~</tt>.<br>

: The original revision id was <tt>361115194</tt>.<br>

: The revision comment was: <tt></tt><br>

: The revision comment was: <tt>scala says otherwise</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">The //80 equal temperament//, often abbreviated 80-tET, 80-EDO, or 80-ET, is the scale derived by dividing the octave into 80 equally-sized steps. Each step represents a frequency ratio of exactly 15 [[xenharmonic/cent|cent]]s. 80et is the first equal temperament that represents the [[xenharmonic/19-limit|19-limit]] [[xenharmonic/tonality diamond|tonality diamond]] [[xenharmonic/consistent|consistent]]ly (it barely manages to do so)~~, and in fact represents the 21 odd limit tonality diamond consistently also~~.

<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">The //80 equal temperament//, often abbreviated 80-tET, 80-EDO, or 80-ET, is the scale derived by dividing the octave into 80 equally-sized steps. Each step represents a frequency ratio of exactly 15 [[xenharmonic/cent|cent]]s. 80et is the first equal temperament that represents the [[xenharmonic/19-limit|19-limit]] [[xenharmonic/tonality diamond|tonality diamond]] [[xenharmonic/consistent|consistent]]ly (it barely manages to do so).

80 et [[xenharmonic/tempering out|tempers out]] 136/135, 169/168, 176/175, 190/189, 221/220, 256/255, 286/285, 289/288, 325/324, 351/350, 352/351, 361/360, 364/363, 400/399, 456/455, 476/475, 540/539, 561/560, 595/594, 715/714, 936/935, 969/968, 1001/1000, 1275/1274, 1331/1330, 1445/1444, 1521/1520, 1540/1539 and 1729/1728, not to mention such important non-superparticular commas as 2048/2025, 4000/3969, 1728/1715 and 3136/3125.

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*based on treating 80edo as a [[19-limit]] temperament; other approaches are possible.</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>80edo</title></head><body>The <em>80 equal temperament</em>, often abbreviated 80-tET, 80-EDO, or 80-ET, is the scale derived by dividing the octave into 80 equally-sized steps. Each step represents a frequency ratio of exactly 15 <a class="wiki_link" href="http://xenharmonic.wikispaces.com/cent">cent</a>s. 80et is the first equal temperament that represents the <a class="wiki_link" href="http://xenharmonic.wikispaces.com/19-limit">19-limit</a> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/tonality%20diamond">tonality diamond</a> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/consistent">consistent</a>ly (it barely manages to do so)~~, and in fact represents the 21 odd limit tonality diamond consistently also~~.<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>80edo</title></head><body>The <em>80 equal temperament</em>, often abbreviated 80-tET, 80-EDO, or 80-ET, is the scale derived by dividing the octave into 80 equally-sized steps. Each step represents a frequency ratio of exactly 15 <a class="wiki_link" href="http://xenharmonic.wikispaces.com/cent">cent</a>s. 80et is the first equal temperament that represents the <a class="wiki_link" href="http://xenharmonic.wikispaces.com/19-limit">19-limit</a> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/tonality%20diamond">tonality diamond</a> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/consistent">consistent</a>ly (it barely manages to do so).<br />

<br />

80 et <a class="wiki_link" href="http://xenharmonic.wikispaces.com/tempering%20out">tempers out</a> 136/135, 169/168, 176/175, 190/189, 221/220, 256/255, 286/285, 289/288, 325/324, 351/350, 352/351, 361/360, 364/363, 400/399, 456/455, 476/475, 540/539, 561/560, 595/594, 715/714, 936/935, 969/968, 1001/1000, 1275/1274, 1331/1330, 1445/1444, 1521/1520, 1540/1539 and 1729/1728, not to mention such important non-superparticular commas as 2048/2025, 4000/3969, 1728/1715 and 3136/3125.<br />

@@ Line 1: / Line 1: @@
 <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:guest|guest]] and made on <tt>2012-08-29 07:58:11 UTC</tt>.<br>
+: This revision was by author [[User:guest|guest]] and made on <tt>2012-08-30 19:51:04 UTC</tt>.<br>
-: The original revision id was <tt>360658808</tt>.<br>
+: The original revision id was <tt>361115194</tt>.<br>
-: The revision comment was: <tt></tt><br>
+: The revision comment was: <tt>scala says otherwise</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">The //80 equal temperament//, often abbreviated 80-tET, 80-EDO, or 80-ET, is the scale derived by dividing the octave into 80 equally-sized steps. Each step represents a frequency ratio of exactly 15 [[xenharmonic/cent|cent]]s. 80et is the first equal temperament that represents the [[xenharmonic/19-limit|19-limit]] [[xenharmonic/tonality diamond|tonality diamond]] [[xenharmonic/consistent|consistent]]ly (it barely manages to do so), and in fact represents the 21 odd limit tonality diamond consistently also.
+<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">The //80 equal temperament//, often abbreviated 80-tET, 80-EDO, or 80-ET, is the scale derived by dividing the octave into 80 equally-sized steps. Each step represents a frequency ratio of exactly 15 [[xenharmonic/cent|cent]]s. 80et is the first equal temperament that represents the [[xenharmonic/19-limit|19-limit]] [[xenharmonic/tonality diamond|tonality diamond]] [[xenharmonic/consistent|consistent]]ly (it barely manages to do so).
 et [[xenharmonic/tempering out|tempers out]] 136/135, 169/168, 176/175, 190/189, 221/220, 256/255, 286/285, 289/288, 325/324, 351/350, 352/351, 361/360, 364/363, 400/399, 456/455, 476/475, 540/539, 561/560, 595/594, 715/714, 936/935, 969/968, 1001/1000, 1275/1274, 1331/1330, 1445/1444, 1521/1520, 1540/1539 and 1729/1728, not to mention such important non-superparticular commas as 2048/2025, 4000/3969, 1728/1715 and 3136/3125.
@@ Line 69: / Line 69: @@
 *based on treating 80edo as a [[19-limit]] temperament; other approaches are possible.</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;80edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;em&gt;80 equal temperament&lt;/em&gt;, often abbreviated 80-tET, 80-EDO, or 80-ET, is the scale derived by dividing the octave into 80 equally-sized steps. Each step represents a frequency ratio of exactly 15 &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/cent"&gt;cent&lt;/a&gt;s. 80et is the first equal temperament that represents the &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/19-limit"&gt;19-limit&lt;/a&gt; &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/tonality%20diamond"&gt;tonality diamond&lt;/a&gt; &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/consistent"&gt;consistent&lt;/a&gt;ly (it barely manages to do so), and in fact represents the 21 odd limit tonality diamond consistently also.&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;80edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;em&gt;80 equal temperament&lt;/em&gt;, often abbreviated 80-tET, 80-EDO, or 80-ET, is the scale derived by dividing the octave into 80 equally-sized steps. Each step represents a frequency ratio of exactly 15 &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/cent"&gt;cent&lt;/a&gt;s. 80et is the first equal temperament that represents the &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/19-limit"&gt;19-limit&lt;/a&gt; &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/tonality%20diamond"&gt;tonality diamond&lt;/a&gt; &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/consistent"&gt;consistent&lt;/a&gt;ly (it barely manages to do so).&lt;br /&gt;
 &lt;br /&gt;
 et &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/tempering%20out"&gt;tempers out&lt;/a&gt; 136/135, 169/168, 176/175, 190/189, 221/220, 256/255, 286/285, 289/288, 325/324, 351/350, 352/351, 361/360, 364/363, 400/399, 456/455, 476/475, 540/539, 561/560, 595/594, 715/714, 936/935, 969/968, 1001/1000, 1275/1274, 1331/1330, 1445/1444, 1521/1520, 1540/1539 and 1729/1728, not to mention such important non-superparticular commas as 2048/2025, 4000/3969, 1728/1715 and 3136/3125.&lt;br /&gt;