EDF
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author Kosmorsky and made on 2011-12-26 16:09:12 UTC.
- The original revision id was 288515662.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
=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]]
[[5edf]]
[[6edf]]
[[7edf]]
[[8edf]] ([[88cET]])
[[Carlos Alpha|9 (Carlos Alpha)]]
[[10edf]]
[[Carlos Beta|11 (Carlos Beta)]]
[[12edf]]
[[13edf]]
[[14edf]]
[[15edf]]
[[16edf]]
[[17edf]]
[[18edf]]
[[19edf]]
[[Carlos Gamma|20 (Carlos Gamma)]]Original HTML content:
<html><head><title>EDF</title></head><body><!-- ws:start:WikiTextHeadingRule:0:<h1> --><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> <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. ("Microdiatonic" 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="/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="/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="/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>