Werckismic chords: Difference between revisions
Wikispaces>genewardsmith **Imported revision 243617377 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 243788961 - 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>2011- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-08-01 18:09:06 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>243788961</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 //werckismic triad// is one of two 11-limit [[dyadic chord|essentially tempered dyadic chords]] in inverse relation, constructed from the intervals 8/7, 11/9 and 10/7 which make up an octave under werckismic (441/440) tempering. That is, tempered versions of either 1-8/7-7/5 or 1-11/9-7/5. The triads can be extended to the //werckismic tetrad//, 1-8/7-7/5-8/5, with steps of size 8/7-11/9-8/7-5/4. Equal temperaments with werckismic triads and tetrads include 31, 41, 46, 58, 72, 77, 84, 103, 118, 130, 159, 171, 190, 248, 289 and 320.</pre></div> | <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 //werckismic triad// is one of two 11-limit [[dyadic chord|essentially tempered dyadic chords]] in inverse relation, constructed from the intervals 8/7, 11/9 and 10/7 which make up an octave under werckismic (441/440) tempering. That is, tempered versions of either 1-8/7-7/5 or 1-11/9-7/5. The triads can be extended to the //werckismic tetrad//, 1-8/7-7/5-8/5, with steps of size 8/7-11/9-8/7-5/4. Werckismic tetrads in a meantone tuning such as 43et can be equated with the French sixth chord. Equal temperaments with werckismic triads and tetrads include 31, 41, 43, 46, 58, 72, 77, 84, 103, 118, 130, 159, 171, 190, 248, 289 and 320.</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>werckismic chords</title></head><body>A <em>werckismic triad</em> is one of two 11-limit <a class="wiki_link" href="/dyadic%20chord">essentially tempered dyadic chords</a> in inverse relation, constructed from the intervals 8/7, 11/9 and 10/7 which make up an octave under werckismic (441/440) tempering. That is, tempered versions of either 1-8/7-7/5 or 1-11/9-7/5. The triads can be extended to the <em>werckismic tetrad</em>, 1-8/7-7/5-8/5, with steps of size 8/7-11/9-8/7-5/4. Equal temperaments with werckismic triads and tetrads include 31, 41, 46, 58, 72, 77, 84, 103, 118, 130, 159, 171, 190, 248, 289 and 320.</body></html></pre></div> | <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>werckismic chords</title></head><body>A <em>werckismic triad</em> is one of two 11-limit <a class="wiki_link" href="/dyadic%20chord">essentially tempered dyadic chords</a> in inverse relation, constructed from the intervals 8/7, 11/9 and 10/7 which make up an octave under werckismic (441/440) tempering. That is, tempered versions of either 1-8/7-7/5 or 1-11/9-7/5. The triads can be extended to the <em>werckismic tetrad</em>, 1-8/7-7/5-8/5, with steps of size 8/7-11/9-8/7-5/4. Werckismic tetrads in a meantone tuning such as 43et can be equated with the French sixth chord. Equal temperaments with werckismic triads and tetrads include 31, 41, 43, 46, 58, 72, 77, 84, 103, 118, 130, 159, 171, 190, 248, 289 and 320.</body></html></pre></div> | ||