EDO
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author xenjacob and made on 2007-09-17 01:33:30 UTC.
- The original revision id was 8055645.
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Original Wikitext content:
=E.D.O.= EDO, used here, means //not// [[http://en.wikipedia.org/wiki/Edo_period|the period of Japanese history]] (and musical tradition), but [[Equal]] **D**ivisions of the [[Octave]]. =What are EDO scales like?= Very straightforward to work with, the step size being so even and all. Some find the monotony bland, others find it a safe stable footing for musicmaking. =How do I explore so many?= You will quickly find that the //factorization// of the total number of notes in each EDO has consequences for its structure and the way it relates to other EDOs. For example, 6 = 2 x 3, so 6-edo contains all of the intervals in both 2-edo and 3-edo. On the other hand, 7 is a prime number, so all of 7-edo intervals are un-redundant with smaller EDOs. The Moments of Symmetry paradigm is a fascinating way of thinking about building sub-scales of EDOs and relating them to non-EDO scales. All of these tools are also applicable to equal divisions of other ([[nonoctave]]) intervals as well. =Individual pages for EDOs= || [[1edo]] || [[2edo]] || [[3edo]] || [[4edo]] || [[5edo]] || [[6edo]] || [[7edo]] || [[8edo]] || [[9edo]] || [[10edo]] || [[11edo]] || [[12edo]] || || [[13edo]] || [[14edo]] || [[15edo]] || [[16edo]] || [[17edo]] || [[18edo]] || [[19edo]] || [[20edo]] || [[21edo]] || [[22edo]] || [[23edo]] || [[24edo]] || || [[25edo]] || [[26edo]] || [[27edo]] || [[28edo]] || [[29edo]] || [[30edo]] || [[31edo]] ||
Original HTML content:
<html><head><title>EDO</title></head><body><!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="E.D.O."></a><!-- ws:end:WikiTextHeadingRule:0 -->E.D.O.</h1>
<br />
EDO, used here, means <em>not</em> <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Edo_period" rel="nofollow">the period of Japanese history</a> (and musical tradition), but <a class="wiki_link" href="/Equal">Equal</a> <strong>D</strong>ivisions of the <a class="wiki_link" href="/Octave">Octave</a>.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:<h1> --><h1 id="toc1"><a name="What are EDO scales like?"></a><!-- ws:end:WikiTextHeadingRule:2 -->What are EDO scales like?</h1>
<br />
Very straightforward to work with, the step size being so even and all. Some find the monotony bland, others find it a safe stable footing for musicmaking.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:<h1> --><h1 id="toc2"><a name="How do I explore so many?"></a><!-- ws:end:WikiTextHeadingRule:4 -->How do I explore so many?</h1>
<br />
You will quickly find that the <em>factorization</em> of the total number of notes in each EDO has consequences for its structure and the way it relates to other EDOs.<br />
<br />
For example, 6 = 2 x 3, so 6-edo contains all of the intervals in both 2-edo and 3-edo. On the other hand, 7 is a prime number, so all of 7-edo intervals are un-redundant with smaller EDOs.<br />
<br />
The Moments of Symmetry paradigm is a fascinating way of thinking about building sub-scales of EDOs and relating them to non-EDO scales.<br />
<br />
All of these tools are also applicable to equal divisions of other (<a class="wiki_link" href="/nonoctave">nonoctave</a>) intervals as well.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:<h1> --><h1 id="toc3"><a name="Individual pages for EDOs"></a><!-- ws:end:WikiTextHeadingRule:6 -->Individual pages for EDOs</h1>
<table class="wiki_table">
<tr>
<td><a class="wiki_link" href="/1edo">1edo</a><br />
</td>
<td><a class="wiki_link" href="/2edo">2edo</a><br />
</td>
<td><a class="wiki_link" href="/3edo">3edo</a><br />
</td>
<td><a class="wiki_link" href="/4edo">4edo</a><br />
</td>
<td><a class="wiki_link" href="/5edo">5edo</a><br />
</td>
<td><a class="wiki_link" href="/6edo">6edo</a><br />
</td>
<td><a class="wiki_link" href="/7edo">7edo</a><br />
</td>
<td><a class="wiki_link" href="/8edo">8edo</a><br />
</td>
<td><a class="wiki_link" href="/9edo">9edo</a><br />
</td>
<td><a class="wiki_link" href="/10edo">10edo</a><br />
</td>
<td><a class="wiki_link" href="/11edo">11edo</a><br />
</td>
<td><a class="wiki_link" href="/12edo">12edo</a><br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/13edo">13edo</a><br />
</td>
<td><a class="wiki_link" href="/14edo">14edo</a><br />
</td>
<td><a class="wiki_link" href="/15edo">15edo</a><br />
</td>
<td><a class="wiki_link" href="/16edo">16edo</a><br />
</td>
<td><a class="wiki_link" href="/17edo">17edo</a><br />
</td>
<td><a class="wiki_link" href="/18edo">18edo</a><br />
</td>
<td><a class="wiki_link" href="/19edo">19edo</a><br />
</td>
<td><a class="wiki_link" href="/20edo">20edo</a><br />
</td>
<td><a class="wiki_link" href="/21edo">21edo</a><br />
</td>
<td><a class="wiki_link" href="/22edo">22edo</a><br />
</td>
<td><a class="wiki_link" href="/23edo">23edo</a><br />
</td>
<td><a class="wiki_link" href="/24edo">24edo</a><br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/25edo">25edo</a><br />
</td>
<td><a class="wiki_link" href="/26edo">26edo</a><br />
</td>
<td><a class="wiki_link" href="/27edo">27edo</a><br />
</td>
<td><a class="wiki_link" href="/28edo">28edo</a><br />
</td>
<td><a class="wiki_link" href="/29edo">29edo</a><br />
</td>
<td><a class="wiki_link" href="/30edo">30edo</a><br />
</td>
<td><a class="wiki_link" href="/31edo">31edo</a><br />
</td>
</tr>
</table>
</body></html>