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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | 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|3-limit]] [[consistent|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. |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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| : This revision was by author [[User:kai.lugheidh|kai.lugheidh]] and made on <tt>2017-04-17 15:53:06 UTC</tt>.<br>
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| : The original revision id was <tt>610937201</tt>.<br>
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| : The revision comment was: <tt></tt><br>
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| 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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| <h4>Original Wikitext content:</h4>
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| <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">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.
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| 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. |
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| ===Factoids about 2EDO=== | | ===Factoids about 2EDO=== |
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| 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 EDO lists|zeta integral edo]]. |
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| ===Compositions=== | | ===Compositions=== |
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| [[https://soundcloud.com/vale-10/dichotomy|Dichotomy]] by Kaiveran Lugheidh</pre></div>
| | [https://soundcloud.com/vale-10/dichotomy Dichotomy] by Kaiveran Lugheidh |
| <h4>Original HTML content:</h4>
| | [[Category:3-limit]] |
| <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>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) &lt;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 />
| | [[Category:edo]] |
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| | [[Category:macrotonal]] |
| If we want to consider it to be a temperament, it tempers out 9/8.<br />
| | [[Category:prime_edo]] |
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| | [[Category:zeta]] |
| <!-- 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>
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| 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 />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:2:&lt;h3&gt; --><h3 id="toc1"><a name="x--Compositions"></a><!-- ws:end:WikiTextHeadingRule:2 -->Compositions</h3>
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| <a class="wiki_link_ext" href="https://soundcloud.com/vale-10/dichotomy" rel="nofollow">Dichotomy</a> by Kaiveran Lugheidh</body></html></pre></div>
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