Maximal harmony epimorphic scales: Difference between revisions

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=Seven limit marvel=

==Seven notes==

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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;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Maximal harmony epimorphic scales&lt;/title&gt;&lt;/head&gt;&lt;body&gt;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 &lt;a class="wiki_link" href="/Graph-theoretic%20properties%20of%20scales"&gt;graph of the scale&lt;/a&gt; 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.&lt;br /&gt;

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