User:AthiTrydhen/15-limit tonality diamond: Difference between revisions
Wikispaces>Praimhin **Imported revision 588772052 - Original comment: ** |
Wikispaces>Praimhin **Imported revision 588772064 - 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:Praimhin|Praimhin]] and made on <tt>2016-08-04 01: | : This revision was by author [[User:Praimhin|Praimhin]] and made on <tt>2016-08-04 01:12:44 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>588772064</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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* 3:2, 5:4, 7:4, 11:8, 13:8 -> 4:3, 8:5, 8:7, 16:11, 16:13 | * 3:2, 5:4, 7:4, 11:8, 13:8 -> 4:3, 8:5, 8:7, 16:11, 16:13 | ||
===Orbits=== | ===Orbits and Invariant Subsets=== | ||
[to be included]</pre></div> | [to be included]</pre></div> | ||
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The symmetry group of the 15-limit tonality diamond has 24 elements. The following are its generators:<br /> | The symmetry group of the 15-limit tonality diamond has 24 elements. The following are its generators:<br /> | ||
<ul><li>3:2, 5:4, 7:4, 11:8, 13:8 -&gt; 4:3, 5:3, 14:9, 11:9, 13:9</li><li>3:2, 5:4, 7:4, 11:8, 13:8 -&gt; 3:2, 5:4, 11:8, 7:4, 13:8</li><li>3:2, 5:4, 7:4, 11:8, 13:8 -&gt; 3:2, 5:4, 7:4, 13:8, 11:8</li><li>3:2, 5:4, 7:4, 11:8, 13:8 -&gt; 4:3, 8:5, 8:7, 16:11, 16:13</li></ul><br /> | <ul><li>3:2, 5:4, 7:4, 11:8, 13:8 -&gt; 4:3, 5:3, 14:9, 11:9, 13:9</li><li>3:2, 5:4, 7:4, 11:8, 13:8 -&gt; 3:2, 5:4, 11:8, 7:4, 13:8</li><li>3:2, 5:4, 7:4, 11:8, 13:8 -&gt; 3:2, 5:4, 7:4, 13:8, 11:8</li><li>3:2, 5:4, 7:4, 11:8, 13:8 -&gt; 4:3, 8:5, 8:7, 16:11, 16:13</li></ul><br /> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h3&gt; --><h3 id="toc1"><a name="x-Symmetry group-Orbits"></a><!-- ws:end:WikiTextHeadingRule:2 -->Orbits</h3> | <!-- ws:start:WikiTextHeadingRule:2:&lt;h3&gt; --><h3 id="toc1"><a name="x-Symmetry group-Orbits and Invariant Subsets"></a><!-- ws:end:WikiTextHeadingRule:2 -->Orbits and Invariant Subsets</h3> | ||
[to be included]</body></html></pre></div> | [to be included]</body></html></pre></div> | ||