EDF: Difference between revisions
Wikispaces>hstraub **Imported revision 537095726 - Original comment: ** |
Wikispaces>hstraub **Imported revision 537095760 - 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:hstraub|hstraub]] and made on <tt>2015-01-13 05: | : This revision was by author [[User:hstraub|hstraub]] and made on <tt>2015-01-13 05:51:01 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>537095760</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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[[toc|flat]] | [[toc|flat]] | ||
---- | ---- | ||
=Individual pages for EDFs= | =Individual pages for EDFs= | ||
[[4edf]] | [[4edf]] | ||
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[[24edf]] | [[24edf]] | ||
[[25edf]] | [[25edf]] | ||
=EDO-EDF correspondence= | =EDO-EDF correspondence= | ||
||~ EDO ||~ EDF ||~ Comments || | ||~ EDO ||~ EDF ||~ Comments || | ||
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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 /> | 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 /> | <br /> | ||
Perhaps the first to divide the perfect fifth was <a class="wiki_link" href="/Wendy%20Carlos">Wendy Carlos</a>. ( <!-- ws:start:WikiTextUrlRule: | Perhaps the first to divide the perfect fifth was <a class="wiki_link" href="/Wendy%20Carlos">Wendy Carlos</a>. ( <!-- ws:start:WikiTextUrlRule:637: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:637 --> ) <a class="wiki_link" href="/Carlo%20Serafini">Carlo Serafini</a> has also made much use of the alpha beta and gamma scales.<br /> | ||
<br /> | <br /> | ||
Incidentally, one way to treat 3/2 as an equivalence is the use of the 8:9:10:(12) chord as in a very similar way to the 4:5:6:(8) chord in meantone. Whereas in meantone it takes four 3/2 to get to 5/1, here it takes six 5/4 to get to 9/8 (tempering out the comma 15625/15552. So, doing this yields 9, 11, and 20 note MOS which the Carlos scales temper equally. While the notes are rather closer together, the scheme is uncannily similar to meantone. &quot;Microdiatonic&quot; might be a good term for it if it hasn't been named yet, but in any case here is an example of it: <!-- ws:start:WikiTextUrlRule: | Incidentally, one way to treat 3/2 as an equivalence is the use of the 8:9:10:(12) chord as in a very similar way to the 4:5:6:(8) chord in meantone. Whereas in meantone it takes four 3/2 to get to 5/1, here it takes six 5/4 to get to 9/8 (tempering out the comma 15625/15552. So, doing this yields 9, 11, and 20 note MOS which the Carlos scales temper equally. While the notes are rather closer together, the scheme is uncannily similar to meantone. &quot;Microdiatonic&quot; might be a good term for it if it hasn't been named yet, but in any case here is an example of it: <!-- ws:start:WikiTextUrlRule:638: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:638 --><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextTocRule:4:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:4 --><!-- ws:start:WikiTextTocRule:5: --><a href="#Individual pages for EDFs">Individual pages for EDFs</a><!-- ws:end:WikiTextTocRule:5 --><!-- ws:start:WikiTextTocRule:6: --> | <a href="#EDO-EDF correspondence">EDO-EDF correspondence</a><!-- ws:end:WikiTextTocRule:6 --><!-- ws:start:WikiTextTocRule:7: --> | <!-- ws:start:WikiTextTocRule:4:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:4 --><!-- ws:start:WikiTextTocRule:5: --><a href="#Individual pages for EDFs">Individual pages for EDFs</a><!-- ws:end:WikiTextTocRule:5 --><!-- ws:start:WikiTextTocRule:6: --> | <a href="#EDO-EDF correspondence">EDO-EDF correspondence</a><!-- ws:end:WikiTextTocRule:6 --><!-- ws:start:WikiTextTocRule:7: --> | ||
<!-- ws:end:WikiTextTocRule:7 --> | <!-- ws:end:WikiTextTocRule:7 --><hr /> | ||
<hr | |||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Individual pages for EDFs"></a><!-- ws:end:WikiTextHeadingRule:0 -->Individual pages for EDFs</h1> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Individual pages for EDFs"></a><!-- ws:end:WikiTextHeadingRule:0 -->Individual pages for EDFs</h1> | ||
<a class="wiki_link" href="/4edf">4edf</a><br /> | <a class="wiki_link" href="/4edf">4edf</a><br /> | ||
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<a class="wiki_link" href="/24edf">24edf</a><br /> | <a class="wiki_link" href="/24edf">24edf</a><br /> | ||
<a class="wiki_link" href="/25edf">25edf</a><br /> | <a class="wiki_link" href="/25edf">25edf</a><br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="EDO-EDF correspondence"></a><!-- ws:end:WikiTextHeadingRule:2 -->EDO-EDF correspondence</h1> | <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="EDO-EDF correspondence"></a><!-- ws:end:WikiTextHeadingRule:2 -->EDO-EDF correspondence</h1> | ||