List of MOS scales in 12edo: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
{{MOSes in EDO|Show Subsets=1|Number of Periods=All}}
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2012-04-04 12:46:25 UTC</tt>.<br>
: The original revision id was <tt>317646994</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>
<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">Comprehensive list of [[MOSScales]] in [[12edo]].
 
=Strict MOS=
* 11 1
* 10 1 1
* 9 1 1 1
* 8 1 1 1 1
* 7 1 1 1 1 1
* 6 1 1 1 1 1 1
* 5 1 1 1 1 1 1 1
* 4 1 1 1 1 1 1 1 1
* 3 1 1 1 1 1 1 1 1 1
* 2 1 1 1 1 1 1 1 1 1 1
* 10 2 (6edo)
* 8 2 2 (6edo)
* 6 2 2 2 (6edo)
* 4 2 2 2 2 (6edo)
* 9 3 (4edo)
* 6 3 3 (4edo)
* 8 4 (3edo)
* 7 5
* 5 5 2
* 3 2 3 2 2
* 2 2 2 1 2 2 1
 
=Multi-MOS=
* 6 6 (2edo)
* 5 1 5 1
* 4 1 1 4 1 1
* 3 1 1 1 3 1 1 1
* 2 1 1 1 1 2 1 1 1 1
* 4 2 4 2 (6edo)
* 4 4 4 (3edo)
* 3 1 3 1 3 1
* 2 1 1 2 1 1 2 1 1
* 3 3 3 3 (4edo)
* 2 1 2 1 2 1 2 1
* 2 2 2 2 2 2 (6edo)
* 1 1 1 1 1 1 1 1 1 1 1 1
</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;MOS in 12edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Comprehensive list of &lt;a class="wiki_link" href="/MOSScales"&gt;MOSScales&lt;/a&gt; in &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt;.&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Strict MOS"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Strict MOS&lt;/h1&gt;
&lt;ul&gt;&lt;li&gt;11 1&lt;/li&gt;&lt;li&gt;10 1 1&lt;/li&gt;&lt;li&gt;9 1 1 1&lt;/li&gt;&lt;li&gt;8 1 1 1 1&lt;/li&gt;&lt;li&gt;7 1 1 1 1 1&lt;/li&gt;&lt;li&gt;6 1 1 1 1 1 1&lt;/li&gt;&lt;li&gt;5 1 1 1 1 1 1 1&lt;/li&gt;&lt;li&gt;4 1 1 1 1 1 1 1 1&lt;/li&gt;&lt;li&gt;3 1 1 1 1 1 1 1 1 1&lt;/li&gt;&lt;li&gt;2 1 1 1 1 1 1 1 1 1 1&lt;/li&gt;&lt;li&gt;10 2 (6edo)&lt;/li&gt;&lt;li&gt;8 2 2 (6edo)&lt;/li&gt;&lt;li&gt;6 2 2 2 (6edo)&lt;/li&gt;&lt;li&gt;4 2 2 2 2 (6edo)&lt;/li&gt;&lt;li&gt;9 3 (4edo)&lt;/li&gt;&lt;li&gt;6 3 3 (4edo)&lt;/li&gt;&lt;li&gt;8 4 (3edo)&lt;/li&gt;&lt;li&gt;7 5&lt;/li&gt;&lt;li&gt;5 5 2&lt;/li&gt;&lt;li&gt;3 2 3 2 2&lt;/li&gt;&lt;li&gt;2 2 2 1 2 2 1&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Multi-MOS"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Multi-MOS&lt;/h1&gt;
&lt;ul&gt;&lt;li&gt;6 6 (2edo)&lt;/li&gt;&lt;li&gt;5 1 5 1&lt;/li&gt;&lt;li&gt;4 1 1 4 1 1&lt;/li&gt;&lt;li&gt;3 1 1 1 3 1 1 1&lt;/li&gt;&lt;li&gt;2 1 1 1 1 2 1 1 1 1&lt;/li&gt;&lt;li&gt;4 2 4 2 (6edo)&lt;/li&gt;&lt;li&gt;4 4 4 (3edo)&lt;/li&gt;&lt;li&gt;3 1 3 1 3 1&lt;/li&gt;&lt;li&gt;2 1 1 2 1 1 2 1 1&lt;/li&gt;&lt;li&gt;3 3 3 3 (4edo)&lt;/li&gt;&lt;li&gt;2 1 2 1 2 1 2 1&lt;/li&gt;&lt;li&gt;2 2 2 2 2 2 (6edo)&lt;/li&gt;&lt;li&gt;1 1 1 1 1 1 1 1 1 1 1 1&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

Latest revision as of 19:33, 27 February 2025

This page lists all moment of symmetry scales in 12edo.

Single-period MOS scales

Generators 7\12 and 5\12
Step visualization MOS (name) Step sizes Step ratio
├──────┼────┤ 1L 1s 7, 5 7:5
├─┼────┼────┤ 2L 1s 5, 2 5:2
├─┼─┼──┼─┼──┤ 2L 3s 3, 2 3:2
├─┼─┼─┼┼─┼─┼┤ 5L 2s (diatonic) 2, 1 2:1
├┼┼┼┼┼┼┼┼┼┼┼┤ 12edo 1, 1 1:1
Generators 8\12 and 4\12
Step visualization MOS (name) Step sizes Step ratio
├───────┼───┤ 1L 1s 8, 4 2:1
├───┼───┼───┤ 3edo 4, 4 1:1
Generators 9\12 and 3\12
Step visualization MOS (name) Step sizes Step ratio
├────────┼──┤ 1L 1s 9, 3 3:1
├─────┼──┼──┤ 1L 2s 6, 3 2:1
├──┼──┼──┼──┤ 4edo 3, 3 1:1
Generators 10\12 and 2\12
Step visualization MOS (name) Step sizes Step ratio
├─────────┼─┤ 1L 1s 10, 2 5:1
├───────┼─┼─┤ 1L 2s 8, 2 4:1
├─────┼─┼─┼─┤ 1L 3s 6, 2 3:1
├───┼─┼─┼─┼─┤ 1L 4s 4, 2 2:1
├─┼─┼─┼─┼─┼─┤ 6edo 2, 2 1:1
Generators 11\12 and 1\12
Step visualization MOS (name) Step sizes Step ratio
├──────────┼┤ 1L 1s 11, 1 11:1
├─────────┼┼┤ 1L 2s 10, 1 10:1
├────────┼┼┼┤ 1L 3s 9, 1 9:1
├───────┼┼┼┼┤ 1L 4s 8, 1 8:1
├──────┼┼┼┼┼┤ 1L 5s (antimachinoid) 7, 1 7:1
├─────┼┼┼┼┼┼┤ 1L 6s (onyx) 6, 1 6:1
├────┼┼┼┼┼┼┼┤ 1L 7s (antipine) 5, 1 5:1
├───┼┼┼┼┼┼┼┼┤ 1L 8s (antisubneutralic) 4, 1 4:1
├──┼┼┼┼┼┼┼┼┼┤ 1L 9s (antisinatonic) 3, 1 3:1
├─┼┼┼┼┼┼┼┼┼┼┤ 1L 10s 2, 1 2:1
├┼┼┼┼┼┼┼┼┼┼┼┤ 12edo 1, 1 1:1

Multi-period MOS scales

2 periods

Generators 4\12 and 2\12
Step visualization MOS (name) Step sizes Step ratio
├───┼─┼───┼─┤ 2L 2s 4, 2 2:1
├─┼─┼─┼─┼─┼─┤ 6edo 2, 2 1:1
Generators 5\12 and 1\12
Step visualization MOS (name) Step sizes Step ratio
├────┼┼────┼┤ 2L 2s 5, 1 5:1
├───┼┼┼───┼┼┤ 2L 4s (malic) 4, 1 4:1
├──┼┼┼┼──┼┼┼┤ 2L 6s (subaric) 3, 1 3:1
├─┼┼┼┼┼─┼┼┼┼┤ 2L 8s (jaric) 2, 1 2:1
├┼┼┼┼┼┼┼┼┼┼┼┤ 12edo 1, 1 1:1

3 periods

Generators 3\12 and 1\12
Step visualization MOS (name) Step sizes Step ratio
├──┼┼──┼┼──┼┤ 3L 3s (triwood) 3, 1 3:1
├─┼┼┼─┼┼┼─┼┼┤ 3L 6s (tcherepnin) 2, 1 2:1
├┼┼┼┼┼┼┼┼┼┼┼┤ 12edo 1, 1 1:1

4 periods

Generators 2\12 and 1\12
Step visualization MOS (name) Step sizes Step ratio
├─┼┼─┼┼─┼┼─┼┤ 4L 4s (tetrawood) 2, 1 2:1
├┼┼┼┼┼┼┼┼┼┼┼┤ 12edo 1, 1 1:1