13-limit: Difference between revisions
Wikispaces>guest **Imported revision 352070690 - Original comment: ** |
Wikispaces>PiotrGrochowski **Imported revision 592337882 - 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: | : This revision was by author [[User:PiotrGrochowski|PiotrGrochowski]] and made on <tt>2016-09-16 05:06:13 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>592337882</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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The 13-prime-limit can be modeled in a 5-dimensional lattice, with the primes 3, 5, 7, 11, and 13 represented by each dimension. The prime 2 does not appear in the typical 13-limit lattice because octave equivalence is presumed. If octave equivalence is not presumed, a sixth dimension is need. | The 13-prime-limit can be modeled in a 5-dimensional lattice, with the primes 3, 5, 7, 11, and 13 represented by each dimension. The prime 2 does not appear in the typical 13-limit lattice because octave equivalence is presumed. If octave equivalence is not presumed, a sixth dimension is need. | ||
[[Edo]]s good for 13-limit are 1 2 3 4 5 6 7 9 10 15 16 17 19 20 22 24 26 31 37 46 50 53 63 77 84 87 130 140 161 183 207 217 224 270 494 851 1075 1282 1578 2159 2190 2684 3265 3535 4573 5004 5585 6079 8269 8539 13854 14124 16808 20203 22887 28742 32007 37011 50434 50928 51629 54624 56202 59467 64471 65052. | |||
=Music= | =Music= | ||
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The 13-prime-limit can be modeled in a 5-dimensional lattice, with the primes 3, 5, 7, 11, and 13 represented by each dimension. The prime 2 does not appear in the typical 13-limit lattice because octave equivalence is presumed. If octave equivalence is not presumed, a sixth dimension is need.<br /> | The 13-prime-limit can be modeled in a 5-dimensional lattice, with the primes 3, 5, 7, 11, and 13 represented by each dimension. The prime 2 does not appear in the typical 13-limit lattice because octave equivalence is presumed. If octave equivalence is not presumed, a sixth dimension is need.<br /> | ||
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<a class="wiki_link" href="/Edo">Edo</a>s good for 13-limit are 1 2 3 4 5 6 7 9 10 15 16 17 19 20 22 24 26 31 37 46 50 53 63 77 84 87 130 140 161 183 207 217 224 270 494 851 1075 1282 1578 2159 2190 2684 3265 3535 4573 5004 5585 6079 8269 8539 13854 14124 16808 20203 22887 28742 32007 37011 50434 50928 51629 54624 56202 59467 64471 65052.<br /> | |||
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<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:0 -->Music</h1> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:0 -->Music</h1> | ||