Maximal harmony epimorphic scales: Difference between revisions
Wikispaces>genewardsmith **Imported revision 406560504 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 406993732 - Original comment: ** |
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<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:genewardsmith|genewardsmith]] and made on <tt>2013-02- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2013-02-14 11:34:20 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>406993732</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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==Seven notes== | ==Seven notes== | ||
[[maxsev1]] | [[maxsev1]] | ||
[[maxsev2]]</pre></div> | [[maxsev2]] | ||
=Marvel= | |||
==Seven notes== | |||
[[Gypsy scale]]</pre></div> | |||
<h4>Original HTML content:</h4> | <h4>Original HTML content:</h4> | ||
<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>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.) Connectivity of the <a class="wiki_link" href="/Graph-theoretic%20properties%20of%20scales">graph of the scale</a> is another way of rating harmonic content; algebraic connectivity is especially useful for this because it can take non-integer values and is easy to compute. Below we list a few examples.<br /> | <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>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.) Connectivity of the <a class="wiki_link" href="/Graph-theoretic%20properties%20of%20scales">graph of the scale</a> is another way of rating harmonic content; algebraic connectivity is especially useful for this because it can take non-integer values and is easy to compute. Below we list a few examples.<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="x7 odd limit-Seven notes"></a><!-- ws:end:WikiTextHeadingRule:16 -->Seven notes</h2> | <!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="x7 odd limit-Seven notes"></a><!-- ws:end:WikiTextHeadingRule:16 -->Seven notes</h2> | ||
<a class="wiki_link" href="/maxsev1">maxsev1</a><br /> | <a class="wiki_link" href="/maxsev1">maxsev1</a><br /> | ||
<a class="wiki_link" href="/maxsev2">maxsev2</a></body></html></pre></div> | <a class="wiki_link" href="/maxsev2">maxsev2</a><br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:18:&lt;h1&gt; --><h1 id="toc9"><a name="Marvel"></a><!-- ws:end:WikiTextHeadingRule:18 -->Marvel</h1> | |||
<!-- ws:start:WikiTextHeadingRule:20:&lt;h2&gt; --><h2 id="toc10"><a name="Marvel-Seven notes"></a><!-- ws:end:WikiTextHeadingRule:20 -->Seven notes</h2> | |||
<a class="wiki_link" href="/Gypsy%20scale">Gypsy scale</a></body></html></pre></div> | |||