List of distinct EDO scales: Difference between revisions
Wikispaces>Sarzadoce **Imported revision 553445150 - Original comment: ** |
Wikispaces>Sarzadoce **Imported revision 553456136 - 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- | : This revision was by author [[User:Sarzadoce|Sarzadoce]] and made on <tt>2015-06-09 02:29:27 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>553456136</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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311111 | 311111 | ||
2111111 | 2111111 | ||
11111111</pre></div> | 11111111 | ||
==9-EDO Scales== | |||
54 | |||
72 | |||
81 | |||
423 | |||
432 | |||
441 | |||
513 | |||
522 | |||
531 | |||
612 | |||
621 | |||
711 | |||
3222 | |||
3231 | |||
3312 | |||
3321 | |||
4113 | |||
4122 | |||
4131 | |||
4212 | |||
4221 | |||
4311 | |||
5112 | |||
5121 | |||
5211 | |||
6111 | |||
22221 | |||
31122 | |||
31212 | |||
31221 | |||
31311 | |||
32112 | |||
32121 | |||
32211 | |||
33111 | |||
41112 | |||
41121 | |||
41211 | |||
42111 | |||
51111 | |||
212121 | |||
221121 | |||
221211 | |||
222111 | |||
311112 | |||
311121 | |||
311211 | |||
312111 | |||
321111 | |||
411111 | |||
2112111 | |||
2121111 | |||
2211111 | |||
3111111 | |||
21111111 | |||
111111111 | |||
==10-EDO Scales== | |||
73 | |||
91 | |||
433 | |||
514 | |||
523 | |||
532 | |||
541 | |||
613 | |||
631 | |||
712 | |||
721 | |||
811 | |||
3232 | |||
3322 | |||
3331 | |||
4123 | |||
4132 | |||
4141 | |||
4213 | |||
4231 | |||
4312 | |||
4321 | |||
4411 | |||
5113 | |||
5122 | |||
5131 | |||
5212 | |||
5221 | |||
5311 | |||
6112 | |||
6121 | |||
6211 | |||
7111 | |||
31222 | |||
31312 | |||
32122 | |||
32131 | |||
32212 | |||
32221 | |||
32311 | |||
33112 | |||
33121 | |||
33211 | |||
41113 | |||
41122 | |||
41131 | |||
41212 | |||
41221 | |||
41311 | |||
42112 | |||
42121 | |||
42211 | |||
43111 | |||
51112 | |||
51121 | |||
51211 | |||
52111 | |||
61111 | |||
221221 | |||
222121 | |||
222211 | |||
311122 | |||
311212 | |||
311221 | |||
311311 | |||
312112 | |||
312121 | |||
312211 | |||
313111 | |||
321112 | |||
321121 | |||
321211 | |||
322111 | |||
331111 | |||
411112 | |||
411121 | |||
411211 | |||
412111 | |||
421111 | |||
511111 | |||
2121211 | |||
2211121 | |||
2211211 | |||
2212111 | |||
2221111 | |||
3111112 | |||
3111121 | |||
3111211 | |||
3112111 | |||
3121111 | |||
3211111 | |||
4111111 | |||
21112111 | |||
21121111 | |||
21211111 | |||
22111111 | |||
31111111 | |||
211111111 | |||
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"><html><head><title>Distinct EDO Scales</title></head><body>Each <a class="wiki_link" href="/Equal%20division%20of%20the%20octave">EDO</a> 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).<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>Distinct EDO Scales</title></head><body>Each <a class="wiki_link" href="/Equal%20division%20of%20the%20octave">EDO</a> 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).<br /> | ||
| Line 985: | Line 1,146: | ||
311111<br /> | 311111<br /> | ||
2111111<br /> | 2111111<br /> | ||
11111111</body></html></pre></div> | 11111111<br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:14:&lt;h2&gt; --><h2 id="toc7"><a name="x-9-EDO Scales"></a><!-- ws:end:WikiTextHeadingRule:14 -->9-EDO Scales</h2> | |||
<br /> | |||
54<br /> | |||
72<br /> | |||
81<br /> | |||
423<br /> | |||
432<br /> | |||
441<br /> | |||
513<br /> | |||
522<br /> | |||
531<br /> | |||
612<br /> | |||
621<br /> | |||
711<br /> | |||
3222<br /> | |||
3231<br /> | |||
3312<br /> | |||
3321<br /> | |||
4113<br /> | |||
4122<br /> | |||
4131<br /> | |||
4212<br /> | |||
4221<br /> | |||
4311<br /> | |||
5112<br /> | |||
5121<br /> | |||
5211<br /> | |||
6111<br /> | |||
22221<br /> | |||
31122<br /> | |||
31212<br /> | |||
31221<br /> | |||
31311<br /> | |||
32112<br /> | |||
32121<br /> | |||
32211<br /> | |||
33111<br /> | |||
41112<br /> | |||
41121<br /> | |||
41211<br /> | |||
42111<br /> | |||
51111<br /> | |||
212121<br /> | |||
221121<br /> | |||
221211<br /> | |||
222111<br /> | |||
311112<br /> | |||
311121<br /> | |||
311211<br /> | |||
312111<br /> | |||
321111<br /> | |||
411111<br /> | |||
2112111<br /> | |||
2121111<br /> | |||
2211111<br /> | |||
3111111<br /> | |||
21111111<br /> | |||
111111111<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="x-10-EDO Scales"></a><!-- ws:end:WikiTextHeadingRule:16 -->10-EDO Scales</h2> | |||
<br /> | |||
73<br /> | |||
91<br /> | |||
433<br /> | |||
514<br /> | |||
523<br /> | |||
532<br /> | |||
541<br /> | |||
613<br /> | |||
631<br /> | |||
712<br /> | |||
721<br /> | |||
811<br /> | |||
3232<br /> | |||
3322<br /> | |||
3331<br /> | |||
4123<br /> | |||
4132<br /> | |||
4141<br /> | |||
4213<br /> | |||
4231<br /> | |||
4312<br /> | |||
4321<br /> | |||
4411<br /> | |||
5113<br /> | |||
5122<br /> | |||
5131<br /> | |||
5212<br /> | |||
5221<br /> | |||
5311<br /> | |||
6112<br /> | |||
6121<br /> | |||
6211<br /> | |||
7111<br /> | |||
31222<br /> | |||
31312<br /> | |||
32122<br /> | |||
32131<br /> | |||
32212<br /> | |||
32221<br /> | |||
32311<br /> | |||
33112<br /> | |||
33121<br /> | |||
33211<br /> | |||
41113<br /> | |||
41122<br /> | |||
41131<br /> | |||
41212<br /> | |||
41221<br /> | |||
41311<br /> | |||
42112<br /> | |||
42121<br /> | |||
42211<br /> | |||
43111<br /> | |||
51112<br /> | |||
51121<br /> | |||
51211<br /> | |||
52111<br /> | |||
61111<br /> | |||
221221<br /> | |||
222121<br /> | |||
222211<br /> | |||
311122<br /> | |||
311212<br /> | |||
311221<br /> | |||
311311<br /> | |||
312112<br /> | |||
312121<br /> | |||
312211<br /> | |||
313111<br /> | |||
321112<br /> | |||
321121<br /> | |||
321211<br /> | |||
322111<br /> | |||
331111<br /> | |||
411112<br /> | |||
411121<br /> | |||
411211<br /> | |||
412111<br /> | |||
421111<br /> | |||
511111<br /> | |||
2121211<br /> | |||
2211121<br /> | |||
2211211<br /> | |||
2212111<br /> | |||
2221111<br /> | |||
3111112<br /> | |||
3111121<br /> | |||
3111211<br /> | |||
3112111<br /> | |||
3121111<br /> | |||
3211111<br /> | |||
4111111<br /> | |||
21112111<br /> | |||
21121111<br /> | |||
21211111<br /> | |||
22111111<br /> | |||
31111111<br /> | |||
211111111<br /> | |||
1111111111</body></html></pre></div> | |||