Swetismic chords: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 285322490 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 285750674 - 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>2011-12-12 22:45:27 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-12-13 23:35:25 UTC</tt>.<br>
: The original revision id was <tt>285322490</tt>.<br>
: The original revision id was <tt>285750674</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>
<h4>Original Wikitext content:</h4>
<h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">A //swetismic chord// is a swetismic (540/539) 11-limit [[dyadic chord|essentially tempered chord]].  
<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;white-space: pre-wrap ! important" class="old-revision-html">A //swetismic chord// is a swetismic (540/539) 11-odd-limit [[dyadic chord|essentially tempered chord]].  


There are six swetismic triads, consisting of three pairs of chords in inverse relationship: 1-7/5-12/7 with steps 7/5-11/9-7/6 and 1-7/6-10/7 with steps 7/6-11/9-7/5; 1-7/6-9/7 with steps 7/6-11/10-14/9 and 1-14/9-12/7 with steps 14/9-11/10-7/6; and 1-9/7-7/5 with steps 9/7-12/11-10/7 and 1-10/7-14/9 with steps 10/7-12/11-9/7.
There are six swetismic triads, consisting of three pairs of chords in inverse relationship: 1-7/5-12/7 with steps 7/5-11/9-7/6 and 1-7/6-10/7 with steps 7/6-11/9-7/5; 1-7/6-9/7 with steps 7/6-11/10-14/9 and 1-14/9-12/7 with steps 14/9-11/10-7/6; and 1-9/7-7/5 with steps 9/7-12/11-10/7 and 1-10/7-14/9 with steps 10/7-12/11-9/7.
Line 18: Line 18:
Equal temperaments with swetismic chords include 19, 22, 31, 41, 53, 58, 72, 80, 94, 103, 111, 121, 130, 152, 183, 224, 354, 537, 578, 761d, 1115de, 1339de, 1491de, 1715de and 1845de.</pre></div>
Equal temperaments with swetismic chords include 19, 22, 31, 41, 53, 58, 72, 80, 94, 103, 111, 121, 130, 152, 183, 224, 354, 537, 578, 761d, 1115de, 1339de, 1491de, 1715de and 1845de.</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">&lt;html&gt;&lt;head&gt;&lt;title&gt;swetismic chords&lt;/title&gt;&lt;/head&gt;&lt;body&gt;A &lt;em&gt;swetismic chord&lt;/em&gt; is a swetismic (540/539) 11-limit &lt;a class="wiki_link" href="/dyadic%20chord"&gt;essentially tempered chord&lt;/a&gt;. &lt;br /&gt;
<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;swetismic chords&lt;/title&gt;&lt;/head&gt;&lt;body&gt;A &lt;em&gt;swetismic chord&lt;/em&gt; is a swetismic (540/539) 11-odd-limit &lt;a class="wiki_link" href="/dyadic%20chord"&gt;essentially tempered chord&lt;/a&gt;. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
There are six swetismic triads, consisting of three pairs of chords in inverse relationship: 1-7/5-12/7 with steps 7/5-11/9-7/6 and 1-7/6-10/7 with steps 7/6-11/9-7/5; 1-7/6-9/7 with steps 7/6-11/10-14/9 and 1-14/9-12/7 with steps 14/9-11/10-7/6; and 1-9/7-7/5 with steps 9/7-12/11-10/7 and 1-10/7-14/9 with steps 10/7-12/11-9/7.&lt;br /&gt;
There are six swetismic triads, consisting of three pairs of chords in inverse relationship: 1-7/5-12/7 with steps 7/5-11/9-7/6 and 1-7/6-10/7 with steps 7/6-11/9-7/5; 1-7/6-9/7 with steps 7/6-11/10-14/9 and 1-14/9-12/7 with steps 14/9-11/10-7/6; and 1-9/7-7/5 with steps 9/7-12/11-10/7 and 1-10/7-14/9 with steps 10/7-12/11-9/7.&lt;br /&gt;