5edo: Difference between revisions
Wikispaces>Natebedell **Imported revision 250973102 - Original comment: ** |
Wikispaces>Andrew_Heathwaite **Imported revision 288886325 - 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:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-12-31 01:40:45 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>288886325</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 above is a preliminary visualization of 5EDO courtesy of the primitive TuxPaint program. The colors are arbitrary and no labeling has been done yet, but it may be more than has ever been done before. | The above is a preliminary visualization of 5EDO courtesy of the primitive TuxPaint program. The colors are arbitrary and no labeling has been done yet, but it may be more than has ever been done before. | ||
5-edo divides the 1200-[[cent]] octave into 5 equal parts, making its smallest interval exactly 240 [[cent]], or the fifth root of 2. | 5-edo divides the 1200-[[cent]] octave into 5 equal parts, making its smallest interval exactly 240 [[cent|cents]], or the fifth root of 2. 5edo is the 3rd [[prime numbers|prime]] edo, after [[2edo]] and [[3edo]]. Most importantly, 5-edo is the smallest [[edo]] containing xenharmonic intervals! (1edo 2edo 3edo 4edo are all subsets of 12edo.) | ||
5-edo is the smallest [[edo]] containing xenharmonic intervals! (1edo 2edo 3edo 4edo are all subsets of 12edo) | |||
==Intervals in 5-edo== | ==Intervals in 5-edo== | ||
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The above is a preliminary visualization of 5EDO courtesy of the primitive TuxPaint program. The colors are arbitrary and no labeling has been done yet, but it may be more than has ever been done before.<br /> | The above is a preliminary visualization of 5EDO courtesy of the primitive TuxPaint program. The colors are arbitrary and no labeling has been done yet, but it may be more than has ever been done before.<br /> | ||
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5-edo divides the 1200-<a class="wiki_link" href="/cent">cent</a> octave into 5 equal parts, making its smallest interval exactly 240 <a class="wiki_link" href="/cent"> | 5-edo divides the 1200-<a class="wiki_link" href="/cent">cent</a> octave into 5 equal parts, making its smallest interval exactly 240 <a class="wiki_link" href="/cent">cents</a>, or the fifth root of 2. 5edo is the 3rd <a class="wiki_link" href="/prime%20numbers">prime</a> edo, after <a class="wiki_link" href="/2edo">2edo</a> and <a class="wiki_link" href="/3edo">3edo</a>. Most importantly, 5-edo is the smallest <a class="wiki_link" href="/edo">edo</a> containing xenharmonic intervals! (1edo 2edo 3edo 4edo are all subsets of 12edo.)<br /> | ||
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5-edo is the smallest <a class="wiki_link" href="/edo">edo</a> containing xenharmonic intervals! (1edo 2edo 3edo 4edo are all subsets of 12edo)<br /> | |||
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<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="x5 Equal Divisions of the Octave: Theory-Intervals in 5-edo"></a><!-- ws:end:WikiTextHeadingRule:4 -->Intervals in 5-edo</h2> | <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="x5 Equal Divisions of the Octave: Theory-Intervals in 5-edo"></a><!-- ws:end:WikiTextHeadingRule:4 -->Intervals in 5-edo</h2> | ||