EDF: Difference between revisions
Wikispaces>Kosmorsky **Imported revision 248750213 - Original comment: ** |
Wikispaces>Kosmorsky **Imported revision 288515662 - 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:Kosmorsky|Kosmorsky]] and made on <tt>2011- | : This revision was by author [[User:Kosmorsky|Kosmorsky]] and made on <tt>2011-12-26 16:09:12 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>288515662</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> | ||
<h4>Original Wikitext content:</h4> | <h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">=Division of the perfect fifth (3/2) into n equal parts= | <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;white-space: pre-wrap ! important" class="old-revision-html">=Division of the perfect fifth (3/2) into n equal parts= | ||
Division of the 3:2 into equal parts can be conceived of as to directly use this interval as an equivalence, or not. The question of [[equivalence]] is still in its infancy. The utility of 3:2 as a base though, is apparent by being one of the strongest consonances after the octave. Many, if not all, of these scales have a perceptually important pseudo (false) octave, with various degrees of accuracy. | |||
Perhaps the first to divide the perfect fifth was [[Wendy Carlos]]. ( http://www.wendycarlos.com/resources/pitch.html ) [[Carlo Serafini]] has also made much use of the alpha beta and gamma scales. | |||
Incidentally, one way to treat 3/2 as an equivalence is the use of the 8:9:10:(12) chord as exactly analogous to the 4:5:6:(8) chord in meantone. Doing this yields an 11 note MOS which 11edf tempers to equal, and 20edf is particularly good for. Actually, 11+9=20 so 9edf is also a related equal tuning of it. ("Microdiatonic" might be a good term for it, but in any case its what this is in: http://www.youtube.com/watch?v=x_HSMND6RnA ) | |||
[[4edf]] | [[4edf]] | ||
[[5edf]] | |||
[[6edf]] | [[6edf]] | ||
[[7edf]] | |||
[[8edf]] ([[88cET]]) | [[8edf]] ([[88cET]]) | ||
[[Carlos Alpha|9 (Carlos Alpha)]] | [[Carlos Alpha|9 (Carlos Alpha)]] | ||
[[10edf]] | |||
[[Carlos Beta|11 (Carlos Beta)]] | [[Carlos Beta|11 (Carlos Beta)]] | ||
[[12edf]] | |||
[[13edf]] | |||
[[14edf]] | |||
[[15edf]] | |||
[[16edf]] | |||
[[17edf]] | |||
[[18edf]] | |||
[[19edf]] | |||
[[Carlos Gamma|20 (Carlos Gamma)]]</pre></div> | [[Carlos Gamma|20 (Carlos Gamma)]]</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>EDF</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Division of the perfect fifth (3/2) into n equal parts"></a><!-- ws:end:WikiTextHeadingRule:0 -->Division of the perfect fifth (3/2) into n equal parts</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>EDF</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Division of the perfect fifth (3/2) into n equal parts"></a><!-- ws:end:WikiTextHeadingRule:0 -->Division of the perfect fifth (3/2) into n equal parts</h1> | ||
<a class="wiki_link" href="/4edf">4edf</a><br /> | <br /> | ||
Division of the 3:2 into equal parts can be conceived of as to directly use this interval as an equivalence, or not. The question of <a class="wiki_link" href="/equivalence">equivalence</a> is still in its infancy. The utility of 3:2 as a base though, is apparent by being one of the strongest consonances after the octave. Many, if not all, of these scales have a perceptually important pseudo (false) octave, with various degrees of accuracy.<br /> | |||
<br /> | |||
Perhaps the first to divide the perfect fifth was <a class="wiki_link" href="/Wendy%20Carlos">Wendy Carlos</a>. ( <!-- ws:start:WikiTextUrlRule:47:http://www.wendycarlos.com/resources/pitch.html --><a class="wiki_link_ext" href="http://www.wendycarlos.com/resources/pitch.html" rel="nofollow">http://www.wendycarlos.com/resources/pitch.html</a><!-- ws:end:WikiTextUrlRule:47 --> ) <a class="wiki_link" href="/Carlo%20Serafini">Carlo Serafini</a> has also made much use of the alpha beta and gamma scales.<br /> | |||
<br /> | |||
Incidentally, one way to treat 3/2 as an equivalence is the use of the 8:9:10:(12) chord as exactly analogous to the 4:5:6:(8) chord in meantone. Doing this yields an 11 note MOS which 11edf tempers to equal, and 20edf is particularly good for. Actually, 11+9=20 so 9edf is also a related equal tuning of it. (&quot;Microdiatonic&quot; might be a good term for it, but in any case its what this is in: <!-- ws:start:WikiTextUrlRule:48:http://www.youtube.com/watch?v=x_HSMND6RnA --><a class="wiki_link_ext" href="http://www.youtube.com/watch?v=x_HSMND6RnA" rel="nofollow">http://www.youtube.com/watch?v=x_HSMND6RnA</a><!-- ws:end:WikiTextUrlRule:48 --> )<br /> | |||
<br /> | |||
<br /> | |||
<a class="wiki_link" href="/4edf">4edf</a><br /> | |||
<a class="wiki_link" href="/5edf">5edf</a><br /> | |||
<a class="wiki_link" href="/6edf">6edf</a><br /> | <a class="wiki_link" href="/6edf">6edf</a><br /> | ||
<a class="wiki_link" href="/7edf">7edf</a><br /> | |||
<a class="wiki_link" href="/8edf">8edf</a> (<a class="wiki_link" href="/88cET">88cET</a>)<br /> | <a class="wiki_link" href="/8edf">8edf</a> (<a class="wiki_link" href="/88cET">88cET</a>)<br /> | ||
<a class="wiki_link" href="/Carlos%20Alpha">9 (Carlos Alpha)</a><br /> | <a class="wiki_link" href="/Carlos%20Alpha">9 (Carlos Alpha)</a><br /> | ||
<a class="wiki_link" href="/10edf">10edf</a><br /> | |||
<a class="wiki_link" href="/Carlos%20Beta">11 (Carlos Beta)</a><br /> | <a class="wiki_link" href="/Carlos%20Beta">11 (Carlos Beta)</a><br /> | ||
<a class="wiki_link" href="/12edf">12edf</a><br /> | |||
<a class="wiki_link" href="/13edf">13edf</a><br /> | |||
<a class="wiki_link" href="/14edf">14edf</a><br /> | |||
<a class="wiki_link" href="/15edf">15edf</a><br /> | |||
<a class="wiki_link" href="/16edf">16edf</a><br /> | |||
<a class="wiki_link" href="/17edf">17edf</a><br /> | |||
<a class="wiki_link" href="/18edf">18edf</a><br /> | |||
<a class="wiki_link" href="/19edf">19edf</a><br /> | |||
<a class="wiki_link" href="/Carlos%20Gamma">20 (Carlos Gamma)</a></body></html></pre></div> | <a class="wiki_link" href="/Carlos%20Gamma">20 (Carlos Gamma)</a></body></html></pre></div> | ||