46edo: Difference between revisions
Wikispaces>xenwolf **Imported revision 201021338 - Original comment: link to composer** |
Wikispaces>Andrew_Heathwaite **Imported revision 207480856 - 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>2011-03-04 17:54:32 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>207480856</tt>.<br> | ||
: The revision comment was: <tt> | : 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> | ||
<h4>Original Wikitext content:</h4> | <h4>Original Wikitext content:</h4> | ||
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==Approximation to Mode 8 of the Harmonic Series== | |||
46edo represents overtones 8 through 16 (written as JI ratios 8:9:10:11:12:13:14:15:16) with degrees 0, 8, 15, 21, 27, 32, 37, 42, 46. In steps-in-between, that's 8, 7, 6, 6, 5, 5, 5, 4. | |||
8\46edo (208.70¢) stands in for frequency ratio 9:8 (203.91¢). | |||
7\46edo (182.61¢) stands in for 10:9 (182.40¢). | |||
6\46edo (156.52¢) stands in for 11:10 (165.00¢) and 12:11 (150.64¢). | |||
5\46edo (130.43¢) stands in for 13:12 (138.57¢), 14:13 (128.30¢) and 15:14 (119.44¢). | |||
4\46edo (104.35¢) stands in for 16:15 (111.73¢). | |||
==Music== | ==Music== | ||
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<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="x46 tone equal temperament-Approximation to Mode 8 of the Harmonic Series"></a><!-- ws:end:WikiTextHeadingRule:6 -->Approximation to Mode 8 of the Harmonic Series</h2> | |||
<br /> | |||
46edo represents overtones 8 through 16 (written as JI ratios 8:9:10:11:12:13:14:15:16) with degrees 0, 8, 15, 21, 27, 32, 37, 42, 46. In steps-in-between, that's 8, 7, 6, 6, 5, 5, 5, 4.<br /> | |||
<br /> | |||
8\46edo (208.70¢) stands in for frequency ratio 9:8 (203.91¢).<br /> | |||
7\46edo (182.61¢) stands in for 10:9 (182.40¢).<br /> | |||
6\46edo (156.52¢) stands in for 11:10 (165.00¢) and 12:11 (150.64¢).<br /> | |||
5\46edo (130.43¢) stands in for 13:12 (138.57¢), 14:13 (128.30¢) and 15:14 (119.44¢).<br /> | |||
4\46edo (104.35¢) stands in for 16:15 (111.73¢).<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="x46 tone equal temperament-Music"></a><!-- ws:end:WikiTextHeadingRule:8 -->Music</h2> | ||
by <a class="wiki_link" href="/Gene%20Ward%20Smith">Gene Ward Smith</a><br /> | by <a class="wiki_link" href="/Gene%20Ward%20Smith">Gene Ward Smith</a><br /> | ||
<ul><li><a class="wiki_link_ext" href="http://www.archive.org/details/Chromosounds" rel="nofollow">Chromosounds</a></li><li><a class="wiki_link_ext" href="http://www.archive.org/details/MusicForYourEars" rel="nofollow">Music For Your Ears</a></li></ul></body></html></pre></div> | <ul><li><a class="wiki_link_ext" href="http://www.archive.org/details/Chromosounds" rel="nofollow">Chromosounds</a></li><li><a class="wiki_link_ext" href="http://www.archive.org/details/MusicForYourEars" rel="nofollow">Music For Your Ears</a></li></ul></body></html></pre></div> | ||