Maximal harmony epimorphic scales: Difference between revisions
Jump to navigation
Jump to search
Wikispaces>genewardsmith **Imported revision 405828548 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 405861150 - Original comment: ** |
||
| Line 1: | Line 1: | ||
<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>2013-02-10 | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2013-02-10 16:22:07 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>405861150</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> | ||
| Line 32: | Line 32: | ||
==Ten notes== | ==Ten notes== | ||
[[blackchrome1]] | [[blackchrome1]] | ||
[[blackchrome2]]</pre></div> | [[blackchrome2]] | ||
=7 odd limit= | |||
==Seven notes== | |||
[[maxsev1]] | |||
[[maxsev2]] | |||
</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.) 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.) Below we list a few examples.<br /> | ||
| Line 60: | Line 66: | ||
<!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="x5-limit-Ten notes"></a><!-- ws:end:WikiTextHeadingRule:12 -->Ten notes</h2> | <!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="x5-limit-Ten notes"></a><!-- ws:end:WikiTextHeadingRule:12 -->Ten notes</h2> | ||
<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><br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc7"><a name="x7 odd limit"></a><!-- ws:end:WikiTextHeadingRule:14 -->7 odd limit</h1> | |||
<!-- 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="/maxsev2">maxsev2</a></body></html></pre></div> | |||
Revision as of 16:22, 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 16:22:07 UTC.
- The original revision id was 405861150.
- 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=
==Five notes==
[[semilim2]]
[[semilim3]]
==Six notes, 6b val==
[[dwarf6_5]]
[[cluster6e]]
[[x-wing1]]
[[x-wing2]]
==Seven notes==
[[zarlino]]
[[mavchrome6]]
==Eight notes==
[[semimaj1]]
[[semimaj2]]
==Nine notes==
[[mavdie1]]
==Ten notes==
[[blackchrome1]]
[[blackchrome2]]
=7 odd limit=
==Seven notes==
[[maxsev1]]
[[maxsev2]]
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 />
<br />
<!-- 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-Five notes"></a><!-- ws:end:WikiTextHeadingRule:2 -->Five notes</h2>
<a class="wiki_link" href="/semilim2">semilim2</a><br />
<a class="wiki_link" href="/semilim3">semilim3</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:<h2> --><h2 id="toc2"><a name="x5-limit-Six notes, 6b val"></a><!-- ws:end:WikiTextHeadingRule:4 -->Six notes, 6b val</h2>
<a class="wiki_link" href="/dwarf6_5">dwarf6_5</a><br />
<a class="wiki_link" href="/cluster6e">cluster6e</a><br />
<a class="wiki_link" href="/x-wing1">x-wing1</a><br />
<a class="wiki_link" href="/x-wing2">x-wing2</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:<h2> --><h2 id="toc3"><a name="x5-limit-Seven notes"></a><!-- ws:end:WikiTextHeadingRule:6 -->Seven notes</h2>
<a class="wiki_link" href="/zarlino">zarlino</a><br />
<a class="wiki_link" href="/mavchrome6">mavchrome6</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:8:<h2> --><h2 id="toc4"><a name="x5-limit-Eight notes"></a><!-- ws:end:WikiTextHeadingRule:8 -->Eight notes</h2>
<a class="wiki_link" href="/semimaj1">semimaj1</a><br />
<a class="wiki_link" href="/semimaj2">semimaj2</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:10:<h2> --><h2 id="toc5"><a name="x5-limit-Nine notes"></a><!-- ws:end:WikiTextHeadingRule:10 -->Nine notes</h2>
<a class="wiki_link" href="/mavdie1">mavdie1</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:12:<h2> --><h2 id="toc6"><a name="x5-limit-Ten notes"></a><!-- ws:end:WikiTextHeadingRule:12 -->Ten notes</h2>
<a class="wiki_link" href="/blackchrome1">blackchrome1</a><br />
<a class="wiki_link" href="/blackchrome2">blackchrome2</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:14:<h1> --><h1 id="toc7"><a name="x7 odd limit"></a><!-- ws:end:WikiTextHeadingRule:14 -->7 odd limit</h1>
<!-- ws:start:WikiTextHeadingRule:16:<h2> --><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="/maxsev2">maxsev2</a></body></html>