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List of distinct EDO scales: Difference between revisions

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Wikispaces>Sarzadoce
**Imported revision 553443752 - Original comment: **
Wikispaces>Sarzadoce
**Imported revision 553445150 - 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:Sarzadoce|Sarzadoce]] and made on <tt>2015-06-08 21:42:07 UTC</tt>.<br>
: This revision was by author [[User:Sarzadoce|Sarzadoce]] and made on <tt>2015-06-08 22:05:49 UTC</tt>.<br>
: The original revision id was <tt>553443752</tt>.<br>
: The original revision id was <tt>553445150</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>
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||  || Total || 1 || 1 || 2 || 3 || 6 || 9 || 18 || 30 || 56 || 99 || 186 || 335 || 630 || 1161 || 2182 || 4080 ||
||  || Total || 1 || 1 || 2 || 3 || 6 || 9 || 18 || 30 || 56 || 99 || 186 || 335 || 630 || 1161 || 2182 || 4080 ||


(if someone could format this table a little better, it would be greatly appreciated)</pre></div>
(if someone could format this table a little better, it would be greatly appreciated)
 
 
==2-EDO Scales==
 
11
 
==3-EDO Scales==
 
21
111
 
==4-EDO Scales==
 
31
211
1111
 
==5-EDO Scales==
 
32
41
221
311
2111
11111
 
==6-EDO Scales==
 
51
312
321
411
2121
2211
3111
21111
111111
 
==7-EDO Scales==
 
43
52
61
322
331
412
421
511
2221
3112
3121
3211
4111
21211
22111
31111
211111
1111111
 
==8-EDO Scales==
 
53
71
332
413
431
512
521
611
3122
3131
3212
3221
3311
4112
4121
4211
5111
22121
22211
31112
31121
31211
32111
41111
211211
212111
221111
311111
2111111
11111111</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;Distinct EDO Scales&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Each &lt;a class="wiki_link" href="/Equal%20division%20of%20the%20octave"&gt;EDO&lt;/a&gt; has a finite number of distinct scales, assuming that the scales are equivalent up to cyclical permutation and that they are also irreducible. By irreducible is meant a scale that is not supported by a smaller EDO (e.g. 4424442, the diatonic scale in 24-EDO, is reducible because it is also contained in 12-EDO).&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;Distinct EDO Scales&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Each &lt;a class="wiki_link" href="/Equal%20division%20of%20the%20octave"&gt;EDO&lt;/a&gt; has a finite number of distinct scales, assuming that the scales are equivalent up to cyclical permutation and that they are also irreducible. By irreducible is meant a scale that is not supported by a smaller EDO (e.g. 4424442, the diatonic scale in 24-EDO, is reducible because it is also contained in 12-EDO).&lt;br /&gt;
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&lt;br /&gt;
&lt;br /&gt;
(if someone could format this table a little better, it would be greatly appreciated)&lt;/body&gt;&lt;/html&gt;</pre></div>
(if someone could format this table a little better, it would be greatly appreciated)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-2-EDO Scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;2-EDO Scales&lt;/h2&gt;
&lt;br /&gt;
11&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x-3-EDO Scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;3-EDO Scales&lt;/h2&gt;
&lt;br /&gt;
21&lt;br /&gt;
111&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="x-4-EDO Scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;4-EDO Scales&lt;/h2&gt;
&lt;br /&gt;
31&lt;br /&gt;
211&lt;br /&gt;
1111&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="x-5-EDO Scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;5-EDO Scales&lt;/h2&gt;
&lt;br /&gt;
32&lt;br /&gt;
41&lt;br /&gt;
221&lt;br /&gt;
311&lt;br /&gt;
2111&lt;br /&gt;
11111&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="x-6-EDO Scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;6-EDO Scales&lt;/h2&gt;
&lt;br /&gt;
51&lt;br /&gt;
312&lt;br /&gt;
321&lt;br /&gt;
411&lt;br /&gt;
2121&lt;br /&gt;
2211&lt;br /&gt;
3111&lt;br /&gt;
21111&lt;br /&gt;
111111&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="x-7-EDO Scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;7-EDO Scales&lt;/h2&gt;
&lt;br /&gt;
43&lt;br /&gt;
52&lt;br /&gt;
61&lt;br /&gt;
322&lt;br /&gt;
331&lt;br /&gt;
412&lt;br /&gt;
421&lt;br /&gt;
511&lt;br /&gt;
2221&lt;br /&gt;
3112&lt;br /&gt;
3121&lt;br /&gt;
3211&lt;br /&gt;
4111&lt;br /&gt;
21211&lt;br /&gt;
22111&lt;br /&gt;
31111&lt;br /&gt;
211111&lt;br /&gt;
1111111&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc6"&gt;&lt;a name="x-8-EDO Scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;8-EDO Scales&lt;/h2&gt;
&lt;br /&gt;
53&lt;br /&gt;
71&lt;br /&gt;
332&lt;br /&gt;
413&lt;br /&gt;
431&lt;br /&gt;
512&lt;br /&gt;
521&lt;br /&gt;
611&lt;br /&gt;
3122&lt;br /&gt;
3131&lt;br /&gt;
3212&lt;br /&gt;
3221&lt;br /&gt;
3311&lt;br /&gt;
4112&lt;br /&gt;
4121&lt;br /&gt;
4211&lt;br /&gt;
5111&lt;br /&gt;
22121&lt;br /&gt;
22211&lt;br /&gt;
31112&lt;br /&gt;
31121&lt;br /&gt;
31211&lt;br /&gt;
32111&lt;br /&gt;
41111&lt;br /&gt;
211211&lt;br /&gt;
212111&lt;br /&gt;
221111&lt;br /&gt;
311111&lt;br /&gt;
2111111&lt;br /&gt;
11111111&lt;/body&gt;&lt;/html&gt;</pre></div>
Retrieved from "https://en.xen.wiki/w/List_of_distinct_EDO_scales"