5edo: 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:Cenobyte|Cenobyte]] and made on <tt>2011-08-07 01:00:19 UTC</tt>.<br>

: This revision was by author [[User:Cenobyte|Cenobyte]] and made on <tt>2011-08-07 01:07:06 UTC</tt>.<br>

: The original revision id was <tt>~~244670371~~</tt>.<br>

: The original revision id was <tt>244670687</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>

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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;white-space: pre-wrap ! important" class="old-revision-html">[[toc|flat]]

----

~~[[toc|flat]]~~

----

=5 Equal Divisions of the Octave: Theory=

==="~~equal pentatonic~~"===

==="Equal Pentatonic"===

[[image:5-EDO.png]]

The above is a preliminary visualization of 5EDO courtesy of the primitive TuxPaint program. The colors are arbitrary and no labeling has been done yet, but it may be more than has ever been done before.

5-edo divides the 1200-[[cent]] octave into 5 equal parts, making its smallest interval exactly 240 [[cent]], or the fifth root of 2.

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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"><html><head><title>5edo</title></head><body><a href="#x5 Equal Divisions of the Octave: Theory">5 Equal Divisions of the Octave: Theory</a> | <a href="#x5-edo in Musicmaking">5-edo in Musicmaking</a> | <a href="#x5 Equal Divisions of the Octave: Theory">5 Equal Divisions of the Octave: Theory</a> | <a href="#x5-edo in Musicmaking">5-edo in Musicmaking</a>

<hr />

~~<br />~~

<hr />

<a href="#x5 Equal Divisions of the Octave: Theory">5 Equal Divisions of the Octave: Theory</a> | <a href="#x5-edo in Musicmaking">5-edo in Musicmaking</a> | <a href="#x5 Equal Divisions of the Octave: Theory">5 Equal Divisions of the Octave: Theory</a> | <a href="#x5-edo in Musicmaking">5-edo in Musicmaking</a>

~~~~<hr />

<br />

<h1 id="toc0"><a name="x5 Equal Divisions of the Octave: Theory"></a>5 Equal Divisions of the Octave: Theory</h1>

<h3 id="toc1"><a name="x5 Equal Divisions of the Octave: Theory--&quot;~~equal pentatonic~~&quot;"></a>&quot;~~equal pentatonic~~&quot;</h3>

<h3 id="toc1"><a name="x5 Equal Divisions of the Octave: Theory--&quot;Equal Pentatonic&quot;"></a>&quot;Equal Pentatonic&quot;</h3>

<br />

<img src="/file/view/5-EDO.png/244670441/5-EDO.png" alt="5-EDO.png" title="5-EDO.png" /><br />

The above is a preliminary visualization of 5EDO courtesy of the primitive TuxPaint program. The colors are arbitrary and no labeling has been done yet, but it may be more than has ever been done before. <br />

<br />

5-edo divides the 1200-<a class="wiki_link" href="/cent">cent</a> octave into 5 equal parts, making its smallest interval exactly 240 <a class="wiki_link" href="/cent">cent</a>, or the fifth root of 2.<br />

<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:Cenobyte|Cenobyte]] and made on <tt>2011-08-07 01:00:19 UTC</tt>.<br>
+: This revision was by author [[User:Cenobyte|Cenobyte]] and made on <tt>2011-08-07 01:07:06 UTC</tt>.<br>
-: The original revision id was <tt>244670371</tt>.<br>
+: The original revision id was <tt>244670687</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>
@@ 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">[[toc|flat]]
 ----
-[[toc|flat]]
 ----
 =5 Equal Divisions of the Octave: Theory=
-==="equal pentatonic"===
+==="Equal Pentatonic"===
+[[image:5-EDO.png]]
+The above is a preliminary visualization of 5EDO courtesy of the primitive TuxPaint program. The colors are arbitrary and no labeling has been done yet, but it may be more than has ever been done before.
 -edo divides the 1200-[[cent]] octave into 5 equal parts, making its smallest interval exactly 240 [[cent]], or the fifth root of 2.
@@ Line 233: / Line 234: @@
 <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;5edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:52:&amp;lt;img id=&amp;quot;wikitext@@toc@@flat&amp;quot; class=&amp;quot;WikiMedia WikiMediaTocFlat&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/flat?w=100&amp;amp;h=16&amp;quot;/&amp;gt; --&gt;&lt;!-- ws:end:WikiTextTocRule:52 --&gt;&lt;!-- ws:start:WikiTextTocRule:53: --&gt;&lt;a href="#x5 Equal Divisions of the Octave: Theory"&gt;5 Equal Divisions of the Octave: Theory&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:53 --&gt;&lt;!-- ws:start:WikiTextTocRule:54: --&gt;&lt;!-- ws:end:WikiTextTocRule:54 --&gt;&lt;!-- ws:start:WikiTextTocRule:55: --&gt;&lt;!-- ws:end:WikiTextTocRule:55 --&gt;&lt;!-- ws:start:WikiTextTocRule:56: --&gt;&lt;!-- ws:end:WikiTextTocRule:56 --&gt;&lt;!-- ws:start:WikiTextTocRule:57: --&gt;&lt;!-- ws:end:WikiTextTocRule:57 --&gt;&lt;!-- ws:start:WikiTextTocRule:58: --&gt;&lt;!-- ws:end:WikiTextTocRule:58 --&gt;&lt;!-- ws:start:WikiTextTocRule:59: --&gt; | &lt;a href="#x5-edo in Musicmaking"&gt;5-edo in Musicmaking&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:59 --&gt;&lt;!-- ws:start:WikiTextTocRule:60: --&gt;&lt;!-- ws:end:WikiTextTocRule:60 --&gt;&lt;!-- ws:start:WikiTextTocRule:61: --&gt;&lt;!-- ws:end:WikiTextTocRule:61 --&gt;&lt;!-- ws:start:WikiTextTocRule:62: --&gt;&lt;!-- ws:end:WikiTextTocRule:62 --&gt;&lt;!-- ws:start:WikiTextTocRule:63: --&gt;&lt;!-- ws:end:WikiTextTocRule:63 --&gt;&lt;!-- ws:start:WikiTextTocRule:64: --&gt;&lt;!-- ws:end:WikiTextTocRule:64 --&gt;&lt;!-- ws:start:WikiTextTocRule:65: --&gt;&lt;!-- ws:end:WikiTextTocRule:65 --&gt;&lt;!-- ws:start:WikiTextTocRule:66: --&gt; | &lt;a href="#x5 Equal Divisions of the Octave: Theory"&gt;5 Equal Divisions of the Octave: Theory&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:66 --&gt;&lt;!-- ws:start:WikiTextTocRule:67: --&gt;&lt;!-- ws:end:WikiTextTocRule:67 --&gt;&lt;!-- ws:start:WikiTextTocRule:68: --&gt;&lt;!-- ws:end:WikiTextTocRule:68 --&gt;&lt;!-- ws:start:WikiTextTocRule:69: --&gt;&lt;!-- ws:end:WikiTextTocRule:69 --&gt;&lt;!-- ws:start:WikiTextTocRule:70: --&gt;&lt;!-- ws:end:WikiTextTocRule:70 --&gt;&lt;!-- ws:start:WikiTextTocRule:71: --&gt;&lt;!-- ws:end:WikiTextTocRule:71 --&gt;&lt;!-- ws:start:WikiTextTocRule:72: --&gt; | &lt;a href="#x5-edo in Musicmaking"&gt;5-edo in Musicmaking&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:72 --&gt;&lt;!-- ws:start:WikiTextTocRule:73: --&gt;&lt;!-- ws:end:WikiTextTocRule:73 --&gt;&lt;!-- ws:start:WikiTextTocRule:74: --&gt;&lt;!-- ws:end:WikiTextTocRule:74 --&gt;&lt;!-- ws:start:WikiTextTocRule:75: --&gt;&lt;!-- ws:end:WikiTextTocRule:75 --&gt;&lt;!-- ws:start:WikiTextTocRule:76: --&gt;&lt;!-- ws:end:WikiTextTocRule:76 --&gt;&lt;!-- ws:start:WikiTextTocRule:77: --&gt;&lt;!-- ws:end:WikiTextTocRule:77 --&gt;&lt;!-- ws:start:WikiTextTocRule:78: --&gt;&lt;!-- ws:end:WikiTextTocRule:78 --&gt;&lt;!-- ws:start:WikiTextTocRule:79: --&gt;
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+&lt;hr /&gt;
-&lt;!-- ws:start:WikiTextTocRule:80:&amp;lt;img id=&amp;quot;wikitext@@toc@@flat&amp;quot; class=&amp;quot;WikiMedia WikiMediaTocFlat&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/flat?w=100&amp;amp;h=16&amp;quot;/&amp;gt; --&gt;&lt;!-- ws:end:WikiTextTocRule:80 --&gt;&lt;!-- ws:start:WikiTextTocRule:81: --&gt;&lt;a href="#x5 Equal Divisions of the Octave: Theory"&gt;5 Equal Divisions of the Octave: Theory&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:81 --&gt;&lt;!-- ws:start:WikiTextTocRule:82: --&gt;&lt;!-- ws:end:WikiTextTocRule:82 --&gt;&lt;!-- ws:start:WikiTextTocRule:83: --&gt;&lt;!-- ws:end:WikiTextTocRule:83 --&gt;&lt;!-- ws:start:WikiTextTocRule:84: --&gt;&lt;!-- ws:end:WikiTextTocRule:84 --&gt;&lt;!-- ws:start:WikiTextTocRule:85: --&gt;&lt;!-- ws:end:WikiTextTocRule:85 --&gt;&lt;!-- ws:start:WikiTextTocRule:86: --&gt;&lt;!-- ws:end:WikiTextTocRule:86 --&gt;&lt;!-- ws:start:WikiTextTocRule:87: --&gt; | &lt;a href="#x5-edo in Musicmaking"&gt;5-edo in Musicmaking&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:87 --&gt;&lt;!-- ws:start:WikiTextTocRule:88: --&gt;&lt;!-- ws:end:WikiTextTocRule:88 --&gt;&lt;!-- ws:start:WikiTextTocRule:89: --&gt;&lt;!-- ws:end:WikiTextTocRule:89 --&gt;&lt;!-- ws:start:WikiTextTocRule:90: --&gt;&lt;!-- ws:end:WikiTextTocRule:90 --&gt;&lt;!-- ws:start:WikiTextTocRule:91: --&gt;&lt;!-- ws:end:WikiTextTocRule:91 --&gt;&lt;!-- ws:start:WikiTextTocRule:92: --&gt;&lt;!-- ws:end:WikiTextTocRule:92 --&gt;&lt;!-- ws:start:WikiTextTocRule:93: --&gt;&lt;!-- ws:end:WikiTextTocRule:93 --&gt;&lt;!-- ws:start:WikiTextTocRule:94: --&gt; | &lt;a href="#x5 Equal Divisions of the Octave: Theory"&gt;5 Equal Divisions of the Octave: Theory&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:94 --&gt;&lt;!-- ws:start:WikiTextTocRule:95: --&gt;&lt;!-- ws:end:WikiTextTocRule:95 --&gt;&lt;!-- ws:start:WikiTextTocRule:96: --&gt;&lt;!-- ws:end:WikiTextTocRule:96 --&gt;&lt;!-- ws:start:WikiTextTocRule:97: --&gt;&lt;!-- ws:end:WikiTextTocRule:97 --&gt;&lt;!-- ws:start:WikiTextTocRule:98: --&gt;&lt;!-- ws:end:WikiTextTocRule:98 --&gt;&lt;!-- ws:start:WikiTextTocRule:99: --&gt;&lt;!-- ws:end:WikiTextTocRule:99 --&gt;&lt;!-- ws:start:WikiTextTocRule:100: --&gt; | &lt;a href="#x5-edo in Musicmaking"&gt;5-edo in Musicmaking&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:100 --&gt;&lt;!-- ws:start:WikiTextTocRule:101: --&gt;&lt;!-- ws:end:WikiTextTocRule:101 --&gt;&lt;!-- ws:start:WikiTextTocRule:102: --&gt;&lt;!-- ws:end:WikiTextTocRule:102 --&gt;&lt;!-- ws:start:WikiTextTocRule:103: --&gt;&lt;!-- ws:end:WikiTextTocRule:103 --&gt;&lt;!-- ws:start:WikiTextTocRule:104: --&gt;&lt;!-- ws:end:WikiTextTocRule:104 --&gt;&lt;!-- ws:start:WikiTextTocRule:105: --&gt;&lt;!-- ws:end:WikiTextTocRule:105 --&gt;&lt;!-- ws:start:WikiTextTocRule:106: --&gt;&lt;!-- ws:end:WikiTextTocRule:106 --&gt;&lt;!-- ws:start:WikiTextTocRule:107: --&gt;
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 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="x5 Equal Divisions of the Octave: Theory"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;5 Equal Divisions of the Octave: Theory&lt;/h1&gt;
-  &lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc1"&gt;&lt;a name="x5 Equal Divisions of the Octave: Theory--&amp;quot;equal pentatonic&amp;quot;"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;&amp;quot;equal pentatonic&amp;quot;&lt;/h3&gt;
+  &lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc1"&gt;&lt;a name="x5 Equal Divisions of the Octave: Theory--&amp;quot;Equal Pentatonic&amp;quot;"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;&amp;quot;Equal Pentatonic&amp;quot;&lt;/h3&gt;
   &lt;br /&gt;
+&lt;!-- ws:start:WikiTextLocalImageRule:934:&amp;lt;img src=&amp;quot;/file/view/5-EDO.png/244670441/5-EDO.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/5-EDO.png/244670441/5-EDO.png" alt="5-EDO.png" title="5-EDO.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:934 --&gt;&lt;br /&gt;
+The above is a preliminary visualization of 5EDO courtesy of the primitive TuxPaint program. The colors are arbitrary and no labeling has been done yet, but it may be more than has ever been done before. &lt;br /&gt;
+&lt;br /&gt;
 -edo divides the 1200-&lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt; octave into 5 equal parts, making its smallest interval exactly 240 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;, or the fifth root of 2.&lt;br /&gt;
 &lt;br /&gt;