2ed13/10: Difference between revisions
Wikispaces>guest **Imported revision 284853356 - Original comment: ** |
Wikispaces>Andrew_Heathwaite **Imported revision 296113608 - Original comment: ** |
||
Line 1: | Line 1: | ||
<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>2012-01-28 02:48:09 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>296113608</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> | ||
Line 27: | Line 27: | ||
=== === | === === | ||
==Music | ==Music== | ||
[[http://soundcloud.com/andrew_heathwaite/truffles|Truffles?]] by Andrew Heathwaite and Michael Gaiuranos</pre></div> | [[http://soundcloud.com/andrew_heathwaite/truffles|Truffles?]] by Andrew Heathwaite and Michael Gaiuranos | ||
===Scala file=== | |||
! sqrt13over10.scl | |||
The square root of 13:10 nonoctave temperament. | |||
2 | |||
! | |||
227.106973952238 | |||
13/10</pre></div> | |||
<h4>Original HTML content:</h4> | <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"><html><head><title>square root of 13 over 10</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x13:10"></a><!-- ws:end:WikiTextHeadingRule:0 -->13:10</h1> | <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"><html><head><title>square root of 13 over 10</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x13:10"></a><!-- ws:end:WikiTextHeadingRule:0 -->13:10</h1> | ||
Line 49: | Line 58: | ||
Sqrt 13:10 (the scale) contains no octaves, and also no close approximation of the third harmonic (the perfect fifth). However, it comes very close to certain just intervals involving the numbers 5, 7, 11 and 13: in particular: 8/7, 13/10, 22/13, 11/5, 5/2, 20/7, 13/4, 26/7, 11/2, and 44/7. These near-just intervals can be combined so as to make available a set of 20 harmonic and subharmonic chords.<br /> | Sqrt 13:10 (the scale) contains no octaves, and also no close approximation of the third harmonic (the perfect fifth). However, it comes very close to certain just intervals involving the numbers 5, 7, 11 and 13: in particular: 8/7, 13/10, 22/13, 11/5, 5/2, 20/7, 13/4, 26/7, 11/2, and 44/7. These near-just intervals can be combined so as to make available a set of 20 harmonic and subharmonic chords.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:14:&lt;img src=&quot;/file/view/sqrt13_10_harmonic_contents.jpg/111024861/sqrt13_10_harmonic_contents.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/sqrt13_10_harmonic_contents.jpg/111024861/sqrt13_10_harmonic_contents.jpg" alt="sqrt13_10_harmonic_contents.jpg" title="sqrt13_10_harmonic_contents.jpg" /><!-- ws:end:WikiTextLocalImageRule:14 --><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h3&gt; --><h3 id="toc4"><!-- ws:end:WikiTextHeadingRule:8 --> </h3> | <!-- ws:start:WikiTextHeadingRule:8:&lt;h3&gt; --><h3 id="toc4"><!-- ws:end:WikiTextHeadingRule:8 --> </h3> | ||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="sqrt 13:10 as a scale-Music | <!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="sqrt 13:10 as a scale-Music"></a><!-- ws:end:WikiTextHeadingRule:10 -->Music</h2> | ||
<br /> | |||
<a class="wiki_link_ext" href="http://soundcloud.com/andrew_heathwaite/truffles" rel="nofollow">Truffles?</a> by Andrew Heathwaite and Michael Gaiuranos<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:12:&lt;h3&gt; --><h3 id="toc6"><a name="sqrt 13:10 as a scale-Music-Scala file"></a><!-- ws:end:WikiTextHeadingRule:12 -->Scala file</h3> | |||
<br /> | <br /> | ||
< | ! sqrt13over10.scl<br /> | ||
The square root of 13:10 nonoctave temperament.<br /> | |||
2<br /> | |||
!<br /> | |||
227.106973952238<br /> | |||
13/10</body></html></pre></div> |