26edo: Difference between revisions
Wikispaces>Andrew_Heathwaite **Imported revision 155553467 - Original comment: ** |
Wikispaces>Andrew_Heathwaite **Imported revision 155606973 - 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:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2010-08- | : This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2010-08-08 10:44:13 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>155606973</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 21: | Line 21: | ||
=Orgone Temperament= | =Orgone Temperament= | ||
[[user:Andrew_Heathwaite|1281204709]] proposes a temperament family which takes advantage of 26edo's excellent 11 & 7 approximations. 7 degrees of 26edo is a wide minor third of approximately 323.077 cents, and that interval taken as a generator produces 7-tone and 11-tone MOS scales: | [[user:Andrew_Heathwaite|1281204709]] proposes a temperament family which takes advantage of 26edo's excellent 11 & 7 approximations. 7 degrees of 26edo is a wide minor third of approximately 323.077 cents, and that interval taken as a generator produces 7-tone and 11-tone MOS scales: | ||
| Line 33: | Line 34: | ||
[[37edo]] is another excellent Orgone tuning. [[11edo]] is passable, but barely. If we take 11 and 26 to be the edges of the Orgone Spectrum, that suggests some other edos which can play Orgone: 11, 48, 37,63, 26. | [[37edo]] is another excellent Orgone tuning. [[11edo]] is passable, but barely. If we take 11 and 26 to be the edges of the Orgone Spectrum, that suggests some other edos which can play Orgone: 11, 48, 37,63, 26. | ||
If a name already exists for this temperament, I'd be interested to know about it. As far as I know, temperaments which ignore lower primes (in this case 3 and 5) in favor of higher ones (in this case 7 and 11) are still largely uncharted, but I am interested in finding out if someone has walked this path before.</pre></div> | If a name already exists for this temperament, I'd be interested to know about it. As far as I know, temperaments which ignore lower primes (in this case 3 and 5) in favor of higher ones (in this case 7 and 11) are still largely uncharted, but I am interested in finding out if someone has walked this path before. | ||
[[image:orgone_heptatonic.jpg]]</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>26edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Compositions"></a><!-- ws:end:WikiTextHeadingRule:0 -->Compositions</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>26edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Compositions"></a><!-- ws:end:WikiTextHeadingRule:0 -->Compositions</h1> | ||
| Line 50: | Line 53: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Orgone Temperament"></a><!-- ws:end:WikiTextHeadingRule:4 -->Orgone Temperament</h1> | <!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Orgone Temperament"></a><!-- ws:end:WikiTextHeadingRule:4 -->Orgone Temperament</h1> | ||
<!-- ws:start:WikiTextUserlinkRule:00:[[user:Andrew_Heathwaite|1281204709]] --><span class="membersnap">- <a class="userLink" href="http://www.wikispaces.com/user/view/Andrew_Heathwaite" style="outline: none;"><img src="http://www.wikispaces.com/user/pic/Andrew_Heathwaite-lg.jpg" width="16" height="16" alt="Andrew_Heathwaite" class="userPicture" /></a> <a class="userLink" href="http://www.wikispaces.com/user/view/Andrew_Heathwaite" style="outline: none;">Andrew_Heathwaite</a> <small>Aug 7, 2010</small></span><!-- ws:end:WikiTextUserlinkRule:00 --> proposes a temperament family which takes advantage of 26edo's excellent 11 &amp; 7 approximations. 7 degrees of 26edo is a wide minor third of approximately 323.077 cents, and that interval taken as a generator produces 7-tone and 11-tone MOS scales:<br /> | <br /> | ||
<!-- ws:start:WikiTextUserlinkRule:00:[[user:Andrew_Heathwaite|1281204709]] --><span class="membersnap">- <a class="userLink" href="http://www.wikispaces.com/user/view/Andrew_Heathwaite" style="outline: none;"><img src="http://www.wikispaces.com/user/pic/Andrew_Heathwaite-lg.jpg" width="16" height="16" alt="Andrew_Heathwaite" class="userPicture" /></a> <a class="userLink" href="http://www.wikispaces.com/user/view/Andrew_Heathwaite" style="outline: none;">Andrew_Heathwaite</a> <small>Aug 7, 2010</small></span><!-- ws:end:WikiTextUserlinkRule:00 --> proposes a temperament family which takes advantage of 26edo's excellent 11 &amp; 7 approximations. 7 degrees of 26edo is a wide minor third of approximately 323.077 cents, and that interval taken as a generator produces 7-tone and 11-tone MOS scales:<br /> | |||
<br /> | <br /> | ||
The 7-tone scale in degrees-in-between: 5 2 5 2 5 2 5.<br /> | The 7-tone scale in degrees-in-between: 5 2 5 2 5 2 5.<br /> | ||
| Line 62: | Line 66: | ||
<a class="wiki_link" href="/37edo">37edo</a> is another excellent Orgone tuning. <a class="wiki_link" href="/11edo">11edo</a> is passable, but barely. If we take 11 and 26 to be the edges of the Orgone Spectrum, that suggests some other edos which can play Orgone: 11, 48, 37,63, 26.<br /> | <a class="wiki_link" href="/37edo">37edo</a> is another excellent Orgone tuning. <a class="wiki_link" href="/11edo">11edo</a> is passable, but barely. If we take 11 and 26 to be the edges of the Orgone Spectrum, that suggests some other edos which can play Orgone: 11, 48, 37,63, 26.<br /> | ||
<br /> | <br /> | ||
If a name already exists for this temperament, I'd be interested to know about it. As far as I know, temperaments which ignore lower primes (in this case 3 and 5) in favor of higher ones (in this case 7 and 11) are still largely uncharted, but I am interested in finding out if someone has walked this path before.</body></html></pre></div> | If a name already exists for this temperament, I'd be interested to know about it. As far as I know, temperaments which ignore lower primes (in this case 3 and 5) in favor of higher ones (in this case 7 and 11) are still largely uncharted, but I am interested in finding out if someone has walked this path before.<br /> | ||
<br /> | |||
<!-- ws:start:WikiTextLocalImageRule:6:&lt;img src=&quot;/file/view/orgone_heptatonic.jpg/155606933/orgone_heptatonic.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/orgone_heptatonic.jpg/155606933/orgone_heptatonic.jpg" alt="orgone_heptatonic.jpg" title="orgone_heptatonic.jpg" /><!-- ws:end:WikiTextLocalImageRule:6 --></body></html></pre></div> | |||