Maximal harmony epimorphic scales: Difference between revisions
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Wikispaces>genewardsmith **Imported revision 405784896 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 405786564 - Original comment: ** |
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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:genewardsmith|genewardsmith]] and made on <tt>2013-02-10 | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2013-02-10 06:16:22 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>405786564</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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==Eight notes== | |||
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<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="x5-limit-Nine notes"></a><!-- ws:end:WikiTextHeadingRule:4 -->Nine notes</h2> | |||
<a class="wiki_link" href="/mavdie1">mavdie1</a><br /> | <a class="wiki_link" href="/mavdie1">mavdie1</a><br /> | ||
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<a class="wiki_link" href="/blackchrome1">blackchrome1</a><br /> | <a class="wiki_link" href="/blackchrome1">blackchrome1</a><br /> | ||
<a class="wiki_link" href="/blackchrome2">blackchrome2</a></body></html></pre></div> | <a class="wiki_link" href="/blackchrome2">blackchrome2</a></body></html></pre></div> | ||
Revision as of 06:16, 10 February 2013
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author genewardsmith and made on 2013-02-10 06:16:22 UTC.
- The original revision id was 405786564.
- 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:
If we look at all periodic scales epimorphic with respect to a given val, a certain number will achieve the maximal possible number of consonant dyads with respect to a given consonance set. In the 5-limit, that set will be the 5-limit diamond, {6/5, 5/4, 4/3, 3/2, 8/5, 5/3}. In case of a tie, the tie can sometimes be broken by means of larger chords (triads, tetrads etc.) Below we list a few examples.
=5-limit=
==Eight notes==
[[semimaj1]]
[[semimaj2]]
==Nine notes==
[[mavdie1]]
==Ten notes==
[[blackchrome1]]
[[blackchrome2]]Original HTML content:
<html><head><title>Maximal harmony epimorphic scales</title></head><body>If we look at all periodic scales epimorphic with respect to a given val, a certain number will achieve the maximal possible number of consonant dyads with respect to a given consonance set. In the 5-limit, that set will be the 5-limit diamond, {6/5, 5/4, 4/3, 3/2, 8/5, 5/3}. In case of a tie, the tie can sometimes be broken by means of larger chords (triads, tetrads etc.) Below we list a few examples.<br />
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<!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="x5-limit"></a><!-- ws:end:WikiTextHeadingRule:0 -->5-limit</h1>
<!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><a name="x5-limit-Eight notes"></a><!-- ws:end:WikiTextHeadingRule:2 -->Eight notes</h2>
<a class="wiki_link" href="/semimaj1">semimaj1</a><br />
<a class="wiki_link" href="/semimaj2">semimaj2</a><br />
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<!-- ws:start:WikiTextHeadingRule:4:<h2> --><h2 id="toc2"><a name="x5-limit-Nine notes"></a><!-- ws:end:WikiTextHeadingRule:4 -->Nine notes</h2>
<a class="wiki_link" href="/mavdie1">mavdie1</a><br />
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<!-- ws:start:WikiTextHeadingRule:6:<h2> --><h2 id="toc3"><a name="x5-limit-Ten notes"></a><!-- ws:end:WikiTextHeadingRule:6 -->Ten notes</h2>
<a class="wiki_link" href="/blackchrome1">blackchrome1</a><br />
<a class="wiki_link" href="/blackchrome2">blackchrome2</a></body></html>