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List of distinct EDO scales: Difference between revisions

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VisualWikitext
Wikispaces>Sarzadoce
**Imported revision 553509462 - Original comment: **
Wikispaces>Sarzadoce
**Imported revision 553510530 - 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>2015-06-09 14:31:10 UTC</tt>.<br>
: This revision was by author [[User:Sarzadoce|Sarzadoce]] and made on <tt>2015-06-09 14:40:49 UTC</tt>.<br>
: The original revision id was <tt>553509462</tt>.<br>
: The original revision id was <tt>553510530</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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(if someone could format this table a little better, it would be greatly appreciated)
(if someone could format this table a little better, it would be greatly appreciated)


&lt;span style="line-height: 1.5;"&gt; * EDO (Variety = 1)&lt;/span&gt;
&lt;span style="line-height: 1.5;"&gt; ∆ EDO (Variety = 1)&lt;/span&gt;
&lt;span style="line-height: 1.5;"&gt; ** Multi-MOS (Max Variety = 2)&lt;/span&gt;
&lt;span style="line-height: 1.5;"&gt; ◊◊ Multi-MOS (Max Variety = 2)&lt;/span&gt;
†† Strict MOS (Variety = 2)
†† Strict MOS (Variety = 2)


==1-EDO Scales==  
==1-EDO Scales==  


1 *
1 ∆


==2-EDO Scales==  
==2-EDO Scales==  


11 *
11 ∆


==3-EDO Scales==  
==3-EDO Scales==  


21 ††
21 ††
111 *
111 ∆


==4-EDO Scales==  
==4-EDO Scales==  
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31 ††
31 ††
211 ††
211 ††
1111 *
1111 ∆


==5-EDO Scales==  
==5-EDO Scales==  
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311 ††
311 ††
2111 ††
2111 ††
11111 *
11111 ∆


==6-EDO Scales==  
==6-EDO Scales==  
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321
321
411 ††
411 ††
2121 **
2121 ◊◊
2211
2211
3111 ††
3111 ††
21111 ††
21111 ††
111111 *
111111 ∆


==7-EDO Scales==  
==7-EDO Scales==  
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31111 ††
31111 ††
211111 ††
211111 ††
1111111 *
1111111 ∆


==8-EDO Scales==  
==8-EDO Scales==  
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611 ††
611 ††
3122
3122
3131
3131 ◊◊
**3212**
3212
**3221**
3221
**3311**
3311
**4112**
4112
**4121**
4121
**4211**
4211
**5111 ††**
5111 ††
**22121 ††**
22121 ††
**22211**
22211
**31112**
31112
**31121**
31121
**31211**
31211
**32111**
32111
**41111 ††**
41111 ††
**211211**
211211 ◊◊
212111
212111
221111
221111
311111 ††
311111 ††
2111111 ††
2111111 ††
11111111 *
11111111 ∆


==9-EDO Scales==  
==9-EDO Scales==  
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42111
42111
51111 ††
51111 ††
212121 **
212121 ◊◊
221121
221121
221211
221211
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3111111 ††
3111111 ††
21111111 ††
21111111 ††
111111111 *
111111111 ∆


==10-EDO Scales==  
==10-EDO Scales==  
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721
721
811 ††
811 ††
3232
3232 ◊◊
**3322**
3322
**3331 ††**
3331 ††
**4123**
4123
**4132**
4132
**4141**
4141 ◊◊
4213
4213
4231
4231
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52111
52111
61111 ††
61111 ††
221221
221221 ◊◊
**222121**
222121
**222211**
222211
**311122**
311122
**311212**
311212
**311221**
311221
**311311**
311311 ◊◊
312112
312112
312121
312121
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3211111
3211111
4111111 ††
4111111 ††
21112111 **
21112111 ◊◊
21121111
21121111
21211111
21211111
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31111111 ††
31111111 ††
211111111 ††
211111111 ††
1111111111 *</pre></div>
1111111111 ∆</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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(if someone could format this table a little better, it would be greatly appreciated)&lt;br /&gt;
(if someone could format this table a little better, it would be greatly appreciated)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;span style="line-height: 1.5;"&gt; * EDO (Variety = 1)&lt;/span&gt;&lt;br /&gt;
&lt;span style="line-height: 1.5;"&gt; ∆ EDO (Variety = 1)&lt;/span&gt;&lt;br /&gt;
&lt;span style="line-height: 1.5;"&gt; ** Multi-MOS (Max Variety = 2)&lt;/span&gt;&lt;br /&gt;
&lt;span style="line-height: 1.5;"&gt; ◊◊ Multi-MOS (Max Variety = 2)&lt;/span&gt;&lt;br /&gt;
†† Strict MOS (Variety = 2)&lt;br /&gt;
†† Strict MOS (Variety = 2)&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-1-EDO Scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;1-EDO Scales&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-1-EDO Scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;1-EDO Scales&lt;/h2&gt;
  &lt;br /&gt;
  &lt;br /&gt;
1 *&lt;br /&gt;
1 ∆&lt;br /&gt;
&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-2-EDO Scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;2-EDO Scales&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x-2-EDO Scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;2-EDO Scales&lt;/h2&gt;
  &lt;br /&gt;
  &lt;br /&gt;
11 *&lt;br /&gt;
11 ∆&lt;br /&gt;
&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-3-EDO Scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;3-EDO Scales&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="x-3-EDO Scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;3-EDO Scales&lt;/h2&gt;
  &lt;br /&gt;
  &lt;br /&gt;
21 ††&lt;br /&gt;
21 ††&lt;br /&gt;
111 *&lt;br /&gt;
111 ∆&lt;br /&gt;
&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-4-EDO Scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;4-EDO Scales&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="x-4-EDO Scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;4-EDO Scales&lt;/h2&gt;
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31 ††&lt;br /&gt;
31 ††&lt;br /&gt;
211 ††&lt;br /&gt;
211 ††&lt;br /&gt;
1111 *&lt;br /&gt;
1111 ∆&lt;br /&gt;
&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-5-EDO Scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;5-EDO Scales&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="x-5-EDO Scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;5-EDO Scales&lt;/h2&gt;
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311 ††&lt;br /&gt;
311 ††&lt;br /&gt;
2111 ††&lt;br /&gt;
2111 ††&lt;br /&gt;
11111 *&lt;br /&gt;
11111 ∆&lt;br /&gt;
&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-6-EDO Scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;6-EDO Scales&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="x-6-EDO Scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;6-EDO Scales&lt;/h2&gt;
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321&lt;br /&gt;
321&lt;br /&gt;
411 ††&lt;br /&gt;
411 ††&lt;br /&gt;
2121 **&lt;br /&gt;
2121 ◊◊&lt;br /&gt;
2211&lt;br /&gt;
2211&lt;br /&gt;
3111 ††&lt;br /&gt;
3111 ††&lt;br /&gt;
21111 ††&lt;br /&gt;
21111 ††&lt;br /&gt;
111111 *&lt;br /&gt;
111111 ∆&lt;br /&gt;
&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-7-EDO Scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;7-EDO Scales&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc6"&gt;&lt;a name="x-7-EDO Scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;7-EDO Scales&lt;/h2&gt;
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31111 ††&lt;br /&gt;
31111 ††&lt;br /&gt;
211111 ††&lt;br /&gt;
211111 ††&lt;br /&gt;
1111111 *&lt;br /&gt;
1111111 ∆&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc7"&gt;&lt;a name="x-8-EDO Scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;8-EDO Scales&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc7"&gt;&lt;a name="x-8-EDO Scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;8-EDO Scales&lt;/h2&gt;
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611 ††&lt;br /&gt;
611 ††&lt;br /&gt;
3122&lt;br /&gt;
3122&lt;br /&gt;
3131&lt;br /&gt;
3131 ◊◊&lt;br /&gt;
&lt;strong&gt;3212&lt;/strong&gt;&lt;br /&gt;
3212&lt;br /&gt;
&lt;strong&gt;3221&lt;/strong&gt;&lt;br /&gt;
3221&lt;br /&gt;
&lt;strong&gt;3311&lt;/strong&gt;&lt;br /&gt;
3311&lt;br /&gt;
&lt;strong&gt;4112&lt;/strong&gt;&lt;br /&gt;
4112&lt;br /&gt;
&lt;strong&gt;4121&lt;/strong&gt;&lt;br /&gt;
4121&lt;br /&gt;
&lt;strong&gt;4211&lt;/strong&gt;&lt;br /&gt;
4211&lt;br /&gt;
&lt;strong&gt;5111 ††&lt;/strong&gt;&lt;br /&gt;
5111 ††&lt;br /&gt;
&lt;strong&gt;22121 ††&lt;/strong&gt;&lt;br /&gt;
22121 ††&lt;br /&gt;
&lt;strong&gt;22211&lt;/strong&gt;&lt;br /&gt;
22211&lt;br /&gt;
&lt;strong&gt;31112&lt;/strong&gt;&lt;br /&gt;
31112&lt;br /&gt;
&lt;strong&gt;31121&lt;/strong&gt;&lt;br /&gt;
31121&lt;br /&gt;
&lt;strong&gt;31211&lt;/strong&gt;&lt;br /&gt;
31211&lt;br /&gt;
&lt;strong&gt;32111&lt;/strong&gt;&lt;br /&gt;
32111&lt;br /&gt;
&lt;strong&gt;41111 ††&lt;/strong&gt;&lt;br /&gt;
41111 ††&lt;br /&gt;
&lt;strong&gt;211211&lt;/strong&gt; &lt;br /&gt;
211211 ◊◊&lt;br /&gt;
212111&lt;br /&gt;
212111&lt;br /&gt;
221111&lt;br /&gt;
221111&lt;br /&gt;
311111 ††&lt;br /&gt;
311111 ††&lt;br /&gt;
2111111 ††&lt;br /&gt;
2111111 ††&lt;br /&gt;
11111111 *&lt;br /&gt;
11111111 ∆&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc8"&gt;&lt;a name="x-9-EDO Scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;9-EDO Scales&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc8"&gt;&lt;a name="x-9-EDO Scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;9-EDO Scales&lt;/h2&gt;
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42111&lt;br /&gt;
42111&lt;br /&gt;
51111 ††&lt;br /&gt;
51111 ††&lt;br /&gt;
212121 **&lt;br /&gt;
212121 ◊◊&lt;br /&gt;
221121&lt;br /&gt;
221121&lt;br /&gt;
221211&lt;br /&gt;
221211&lt;br /&gt;
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3111111 ††&lt;br /&gt;
3111111 ††&lt;br /&gt;
21111111 ††&lt;br /&gt;
21111111 ††&lt;br /&gt;
111111111 *&lt;br /&gt;
111111111 ∆&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc9"&gt;&lt;a name="x-10-EDO Scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;10-EDO Scales&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc9"&gt;&lt;a name="x-10-EDO Scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;10-EDO Scales&lt;/h2&gt;
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721&lt;br /&gt;
721&lt;br /&gt;
811 ††&lt;br /&gt;
811 ††&lt;br /&gt;
3232&lt;br /&gt;
3232 ◊◊&lt;br /&gt;
&lt;strong&gt;3322&lt;/strong&gt;&lt;br /&gt;
3322&lt;br /&gt;
&lt;strong&gt;3331 ††&lt;/strong&gt;&lt;br /&gt;
3331 ††&lt;br /&gt;
&lt;strong&gt;4123&lt;/strong&gt;&lt;br /&gt;
4123&lt;br /&gt;
&lt;strong&gt;4132&lt;/strong&gt;&lt;br /&gt;
4132&lt;br /&gt;
&lt;strong&gt;4141&lt;/strong&gt; &lt;br /&gt;
4141 ◊◊&lt;br /&gt;
4213&lt;br /&gt;
4213&lt;br /&gt;
4231&lt;br /&gt;
4231&lt;br /&gt;
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52111&lt;br /&gt;
52111&lt;br /&gt;
61111 ††&lt;br /&gt;
61111 ††&lt;br /&gt;
221221&lt;br /&gt;
221221 ◊◊&lt;br /&gt;
&lt;strong&gt;222121&lt;/strong&gt;&lt;br /&gt;
222121&lt;br /&gt;
&lt;strong&gt;222211&lt;/strong&gt;&lt;br /&gt;
222211&lt;br /&gt;
&lt;strong&gt;311122&lt;/strong&gt;&lt;br /&gt;
311122&lt;br /&gt;
&lt;strong&gt;311212&lt;/strong&gt;&lt;br /&gt;
311212&lt;br /&gt;
&lt;strong&gt;311221&lt;/strong&gt;&lt;br /&gt;
311221&lt;br /&gt;
&lt;strong&gt;311311&lt;/strong&gt; &lt;br /&gt;
311311 ◊◊&lt;br /&gt;
312112&lt;br /&gt;
312112&lt;br /&gt;
312121&lt;br /&gt;
312121&lt;br /&gt;
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3211111&lt;br /&gt;
3211111&lt;br /&gt;
4111111 ††&lt;br /&gt;
4111111 ††&lt;br /&gt;
21112111 **&lt;br /&gt;
21112111 ◊◊&lt;br /&gt;
21121111&lt;br /&gt;
21121111&lt;br /&gt;
21211111&lt;br /&gt;
21211111&lt;br /&gt;
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31111111 ††&lt;br /&gt;
31111111 ††&lt;br /&gt;
211111111 ††&lt;br /&gt;
211111111 ††&lt;br /&gt;
1111111111 *&lt;/body&gt;&lt;/html&gt;</pre></div>
1111111111 ∆&lt;/body&gt;&lt;/html&gt;</pre></div>
Retrieved from "https://en.xen.wiki/w/List_of_distinct_EDO_scales"