Jove chords: Difference between revisions
Wikispaces>genewardsmith **Imported revision 286694278 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 286729862 - 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>2011-12-15 | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-12-15 22:24:40 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>286729862</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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There are sixteen essentially jove pentads, consisting of eight inverse pairs. These are 1-11/9-10/7-11/7-7/4 with steps 11/9-7/6-11/10-10/9-8/7 and 1-7/6-10/7-18/11-20/11 with steps 7/6-11/9-8/7-10/9-11/10; 1-7/6-3/2-18/11-11/6 with steps 7/6-9/7-12/11-9/8-12/11 and 1-9/7-3/2-18/11-11/6 with steps 9/7-7/6-12/11-9/8-12/11; 1-11/9-11/8-3/2-7/4 with steps 11/9-9/8-12/11-7/6-8/7 and 1-12/11-11/9-3/2-12/7 with steps 12/11-9/8-11/9-8/7-7/6; 1-9/8-11/9-3/2-7/4 with steps 9/8-12/11-11/9-7/6-8/7 and 1-9/8-9/7-3/2-11/6 with steps 9/8-8/7-7/6-11/9-12/11; 1-9/8-11/9-10/7-7/4 with steps 9/8-12/11-7/6-11/9-8/7 and 1-11/9-10/7-14/9-7/4 with steps 11/9-7/6-12/11-9/8-8/7; 1-9/8-11/9-10/7-11/7 with steps 9/8-12/11-7/6-11/10-14/11 and 1-9/8-10/7-11/7-11/6 with steps 9/8-14/11-11/10-7/6-12/11; 1-9/8-11/9-11/8-7/4 with steps 9/8-12/11-9/8-14/11-8/7 and 1-14/11-10/7-14/9-7/4 with steps 14/11-9/8-12/11-9/8-8/7; and 1-9/8-11/9-11/7-7/4 with steps 9/8-12/11-9/7-10/9-8/7 and 1-9/7-7/5-11/7-9/5 with steps 9/7-12/11-9/8-8/7-10/9. | There are sixteen essentially jove pentads, consisting of eight inverse pairs. These are 1-11/9-10/7-11/7-7/4 with steps 11/9-7/6-11/10-10/9-8/7 and 1-7/6-10/7-18/11-20/11 with steps 7/6-11/9-8/7-10/9-11/10; 1-7/6-3/2-18/11-11/6 with steps 7/6-9/7-12/11-9/8-12/11 and 1-9/7-3/2-18/11-11/6 with steps 9/7-7/6-12/11-9/8-12/11; 1-11/9-11/8-3/2-7/4 with steps 11/9-9/8-12/11-7/6-8/7 and 1-12/11-11/9-3/2-12/7 with steps 12/11-9/8-11/9-8/7-7/6; 1-9/8-11/9-3/2-7/4 with steps 9/8-12/11-11/9-7/6-8/7 and 1-9/8-9/7-3/2-11/6 with steps 9/8-8/7-7/6-11/9-12/11; 1-9/8-11/9-10/7-7/4 with steps 9/8-12/11-7/6-11/9-8/7 and 1-11/9-10/7-14/9-7/4 with steps 11/9-7/6-12/11-9/8-8/7; 1-9/8-11/9-10/7-11/7 with steps 9/8-12/11-7/6-11/10-14/11 and 1-9/8-10/7-11/7-11/6 with steps 9/8-14/11-11/10-7/6-12/11; 1-9/8-11/9-11/8-7/4 with steps 9/8-12/11-9/8-14/11-8/7 and 1-14/11-10/7-14/9-7/4 with steps 14/11-9/8-12/11-9/8-8/7; and 1-9/8-11/9-11/7-7/4 with steps 9/8-12/11-9/7-10/9-8/7 and 1-9/7-7/5-11/7-9/5 with steps 9/7-12/11-9/8-8/7-10/9. | ||
Finally, there are | Finally, there are six essentially jove hexads, two palindromic and two pairs of inversely related chords: 1-9/8-11/9-11/8-11/7-7/4 with steps 9/8-12/11-9/8-8/7-10/9-8/7; 1-7/6-9/7-3/2-18/11-11/6 with steps 7/6-11/10-7/6-12/11-9/8-12/11; 1-9/8-9/7-3/2-18/11-11/6 with steps 9/8-8/7-7/6-12/11-9/8-12/11 and 1-9/8-11/9-11/8-3/2-7/4 with steps 9/8-12/11-9/8-12/11-7/6-8/7; and a pair whose steps are permutations of the JI hexad--1-9/8-9/7-10/7-11/7-11/6 with steps 9/8-8/7-10/9-11/10-7/6-12/11 and 1-9/8-11/9-10/7-11/7-7/4 with steps 9/8-12/11-7/6-11/10-10/9-8/7. | ||
Equal divisions with jove tetrads include 31, 41, 58, 72, 130, 161, 171 and 202. </pre></div> | |||
Equal divisions with jove tetrads include 31, 41, 58, 72, 130 and 202. </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>jove chords</title></head><body>A <em>jove chord</em> is an 11 odd limit <a class="wiki_link" href="/Dyadic%20chord">essentially tempered chords</a> chords in <a class="wiki_link" href="/Breed%20family#Jove, aka Wonder">jove temperament</a>. Since 243/242 is tempered out, <a class="wiki_link" href="/rastmich%20chords">rastmich chords</a> are also jove chords; since 441/440 is tempered out, <a class="wiki_link" href="/werckismic%20chords">werckismic chords</a> are also jove chords; and since 540/539 is tempered out, <a class="wiki_link" href="/swetismic%20chords">swetismic chords</a> are also jove chords. Aside from these, there are also essentially jove tempered chords. <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>jove chords</title></head><body>A <em>jove chord</em> is an 11 odd limit <a class="wiki_link" href="/Dyadic%20chord">essentially tempered chords</a> chords in <a class="wiki_link" href="/Breed%20family#Jove, aka Wonder">jove temperament</a>. Since 243/242 is tempered out, <a class="wiki_link" href="/rastmich%20chords">rastmich chords</a> are also jove chords; since 441/440 is tempered out, <a class="wiki_link" href="/werckismic%20chords">werckismic chords</a> are also jove chords; and since 540/539 is tempered out, <a class="wiki_link" href="/swetismic%20chords">swetismic chords</a> are also jove chords. Aside from these, there are also essentially jove tempered chords. <br /> | ||
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There are sixteen essentially jove pentads, consisting of eight inverse pairs. These are 1-11/9-10/7-11/7-7/4 with steps 11/9-7/6-11/10-10/9-8/7 and 1-7/6-10/7-18/11-20/11 with steps 7/6-11/9-8/7-10/9-11/10; 1-7/6-3/2-18/11-11/6 with steps 7/6-9/7-12/11-9/8-12/11 and 1-9/7-3/2-18/11-11/6 with steps 9/7-7/6-12/11-9/8-12/11; 1-11/9-11/8-3/2-7/4 with steps 11/9-9/8-12/11-7/6-8/7 and 1-12/11-11/9-3/2-12/7 with steps 12/11-9/8-11/9-8/7-7/6; 1-9/8-11/9-3/2-7/4 with steps 9/8-12/11-11/9-7/6-8/7 and 1-9/8-9/7-3/2-11/6 with steps 9/8-8/7-7/6-11/9-12/11; 1-9/8-11/9-10/7-7/4 with steps 9/8-12/11-7/6-11/9-8/7 and 1-11/9-10/7-14/9-7/4 with steps 11/9-7/6-12/11-9/8-8/7; 1-9/8-11/9-10/7-11/7 with steps 9/8-12/11-7/6-11/10-14/11 and 1-9/8-10/7-11/7-11/6 with steps 9/8-14/11-11/10-7/6-12/11; 1-9/8-11/9-11/8-7/4 with steps 9/8-12/11-9/8-14/11-8/7 and 1-14/11-10/7-14/9-7/4 with steps 14/11-9/8-12/11-9/8-8/7; and 1-9/8-11/9-11/7-7/4 with steps 9/8-12/11-9/7-10/9-8/7 and 1-9/7-7/5-11/7-9/5 with steps 9/7-12/11-9/8-8/7-10/9.<br /> | There are sixteen essentially jove pentads, consisting of eight inverse pairs. These are 1-11/9-10/7-11/7-7/4 with steps 11/9-7/6-11/10-10/9-8/7 and 1-7/6-10/7-18/11-20/11 with steps 7/6-11/9-8/7-10/9-11/10; 1-7/6-3/2-18/11-11/6 with steps 7/6-9/7-12/11-9/8-12/11 and 1-9/7-3/2-18/11-11/6 with steps 9/7-7/6-12/11-9/8-12/11; 1-11/9-11/8-3/2-7/4 with steps 11/9-9/8-12/11-7/6-8/7 and 1-12/11-11/9-3/2-12/7 with steps 12/11-9/8-11/9-8/7-7/6; 1-9/8-11/9-3/2-7/4 with steps 9/8-12/11-11/9-7/6-8/7 and 1-9/8-9/7-3/2-11/6 with steps 9/8-8/7-7/6-11/9-12/11; 1-9/8-11/9-10/7-7/4 with steps 9/8-12/11-7/6-11/9-8/7 and 1-11/9-10/7-14/9-7/4 with steps 11/9-7/6-12/11-9/8-8/7; 1-9/8-11/9-10/7-11/7 with steps 9/8-12/11-7/6-11/10-14/11 and 1-9/8-10/7-11/7-11/6 with steps 9/8-14/11-11/10-7/6-12/11; 1-9/8-11/9-11/8-7/4 with steps 9/8-12/11-9/8-14/11-8/7 and 1-14/11-10/7-14/9-7/4 with steps 14/11-9/8-12/11-9/8-8/7; and 1-9/8-11/9-11/7-7/4 with steps 9/8-12/11-9/7-10/9-8/7 and 1-9/7-7/5-11/7-9/5 with steps 9/7-12/11-9/8-8/7-10/9.<br /> | ||
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Finally, there are | Finally, there are six essentially jove hexads, two palindromic and two pairs of inversely related chords: 1-9/8-11/9-11/8-11/7-7/4 with steps 9/8-12/11-9/8-8/7-10/9-8/7; 1-7/6-9/7-3/2-18/11-11/6 with steps 7/6-11/10-7/6-12/11-9/8-12/11; 1-9/8-9/7-3/2-18/11-11/6 with steps 9/8-8/7-7/6-12/11-9/8-12/11 and 1-9/8-11/9-11/8-3/2-7/4 with steps 9/8-12/11-9/8-12/11-7/6-8/7; and a pair whose steps are permutations of the JI hexad--1-9/8-9/7-10/7-11/7-11/6 with steps 9/8-8/7-10/9-11/10-7/6-12/11 and 1-9/8-11/9-10/7-11/7-7/4 with steps 9/8-12/11-7/6-11/10-10/9-8/7.<br /> | ||
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Equal divisions with jove tetrads include 31, 41, 58, 72, 130 and 202.</body></html></pre></div> | Equal divisions with jove tetrads include 31, 41, 58, 72, 130, 161, 171 and 202.</body></html></pre></div> | ||