2edo: Difference between revisions
Jump to navigation
Jump to search
Wikispaces>kai.lugheidh **Imported revision 610936731 - Original comment: ** |
Wikispaces>kai.lugheidh **Imported revision 610937201 - 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:kai.lugheidh|kai.lugheidh]] and made on <tt>2017-04-17 15: | : This revision was by author [[User:kai.lugheidh|kai.lugheidh]] and made on <tt>2017-04-17 15:53:06 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>610937201</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 10: | Line 10: | ||
If we want to consider it to be a temperament, it tempers out 9/8. | If we want to consider it to be a temperament, it tempers out 9/8. | ||
=== | ===Factoids about 2EDO=== | ||
99/70 is [[Nearest just interval|a good rational representation]] of the square root of 2. It is the first [[The Riemann Zeta Function and Tuning#Zeta%20EDO%20lists|zeta integral edo]]. | 99/70 is [[Nearest just interval|a good rational representation]] of the square root of 2. It is the first [[The Riemann Zeta Function and Tuning#Zeta%20EDO%20lists|zeta integral edo]]. | ||
=Compositions= | ===Compositions=== | ||
[[https://soundcloud.com/vale-10/dichotomy|Dichotomy]] by Kaiveran Lugheidh</pre></div> | [[https://soundcloud.com/vale-10/dichotomy|Dichotomy]] by Kaiveran Lugheidh</pre></div> | ||
| Line 21: | Line 22: | ||
If we want to consider it to be a temperament, it tempers out 9/8.<br /> | If we want to consider it to be a temperament, it tempers out 9/8.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h3&gt; --><h3 id="toc0"><a name="x-- | <!-- ws:start:WikiTextHeadingRule:0:&lt;h3&gt; --><h3 id="toc0"><a name="x--Factoids about 2EDO"></a><!-- ws:end:WikiTextHeadingRule:0 -->Factoids about 2EDO</h3> | ||
99/70 is <a class="wiki_link" href="/Nearest%20just%20interval">a good rational representation</a> of the square root of 2. It is the first <a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta%20EDO%20lists">zeta integral edo</a>.<br /> | <br /> | ||
99/70 is <a class="wiki_link" href="/Nearest%20just%20interval">a good rational representation</a> of the square root of 2. It is the first <a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta%20EDO%20lists">zeta integral edo</a>.<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt; | <!-- ws:start:WikiTextHeadingRule:2:&lt;h3&gt; --><h3 id="toc1"><a name="x--Compositions"></a><!-- ws:end:WikiTextHeadingRule:2 -->Compositions</h3> | ||
<br /> | <br /> | ||
<a class="wiki_link_ext" href="https://soundcloud.com/vale-10/dichotomy" rel="nofollow">Dichotomy</a> by Kaiveran Lugheidh</body></html></pre></div> | <a class="wiki_link_ext" href="https://soundcloud.com/vale-10/dichotomy" rel="nofollow">Dichotomy</a> by Kaiveran Lugheidh</body></html></pre></div> | ||
Revision as of 15:53, 17 April 2017
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author kai.lugheidh and made on 2017-04-17 15:53:06 UTC.
- The original revision id was 610937201.
- 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:
2EDO, if the attempt is made to use it as an actual scale, would divide the octave into two equal parts, each of size 600 cents, which is to say sqrt(2). It represents the [[3-limit]] [[consistent]]ly, and it can be used to give a skeletonized version of the 3-limit music such as was used in Medieval Europe, by mapping the fifth and therefore the fourth to 600 cents. That entails mapping 81/64 to the unison, and if we do the same for 5/4 we end up with the val (mapping) <2 3 4|. This could be used to crush all of the 5 out of 5-limit music, and to then attempt to turn what remains into neo-Medieval harmony. If we want to consider it to be a temperament, it tempers out 9/8. ===Factoids about 2EDO=== 99/70 is [[Nearest just interval|a good rational representation]] of the square root of 2. It is the first [[The Riemann Zeta Function and Tuning#Zeta%20EDO%20lists|zeta integral edo]]. ===Compositions=== [[https://soundcloud.com/vale-10/dichotomy|Dichotomy]] by Kaiveran Lugheidh
Original HTML content:
<html><head><title>2edo</title></head><body>2EDO, if the attempt is made to use it as an actual scale, would divide the octave into two equal parts, each of size 600 cents, which is to say sqrt(2). It represents the <a class="wiki_link" href="/3-limit">3-limit</a> <a class="wiki_link" href="/consistent">consistent</a>ly, and it can be used to give a skeletonized version of the 3-limit music such as was used in Medieval Europe, by mapping the fifth and therefore the fourth to 600 cents. That entails mapping 81/64 to the unison, and if we do the same for 5/4 we end up with the val (mapping) <2 3 4|. This could be used to crush all of the 5 out of 5-limit music, and to then attempt to turn what remains into neo-Medieval harmony.<br /> <br /> If we want to consider it to be a temperament, it tempers out 9/8.<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h3> --><h3 id="toc0"><a name="x--Factoids about 2EDO"></a><!-- ws:end:WikiTextHeadingRule:0 -->Factoids about 2EDO</h3> <br /> 99/70 is <a class="wiki_link" href="/Nearest%20just%20interval">a good rational representation</a> of the square root of 2. It is the first <a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta%20EDO%20lists">zeta integral edo</a>.<br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h3> --><h3 id="toc1"><a name="x--Compositions"></a><!-- ws:end:WikiTextHeadingRule:2 -->Compositions</h3> <br /> <a class="wiki_link_ext" href="https://soundcloud.com/vale-10/dichotomy" rel="nofollow">Dichotomy</a> by Kaiveran Lugheidh</body></html>