Prodigy chords: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 287111784 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 287124640 - 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>2011-12-17 21:48:10 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-12-18 03:04:16 UTC</tt>.<br>
: The original revision id was <tt>287111784</tt>.<br>
: The original revision id was <tt>287124640</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 8: Line 8:
<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 //prodigy chord// is an 11 odd limit [[Dyadic chord|essentially tempered chord]] in [[Marvel family#Prodigy|prodigy temperament]]. Since 441/440 is tempered out in prodigy, [[werckismic chords]] are also prodigy chords, and since 225/224 is tempered out, the 9 odd limit marvel chords are prodigy chords. Aside from these, there are three more prodigy chords: a 1-5/4-7/5-16/9 tetrad with steps 5/4-9/8-14/11-9/8 and a pair of inversely related pentads, 1-5/4-7/5-8/5-16/9 with steps 5/4-9/8-8/7-10/9-9/8 and 1-5/4-7/5-14/9-16/9 with steps 5/4-9/8-10/9-8/7-9/8.
<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 //prodigy chord// is an 11 odd limit [[Dyadic chord|essentially tempered chord]] in [[Marvel family#Prodigy|prodigy temperament]]. Since 441/440 is tempered out in prodigy, [[werckismic chords]] are also prodigy chords, and since 225/224 is tempered out, the 9 odd limit marvel chords are prodigy chords. Aside from these, there are three more prodigy chords: a 1-5/4-7/5-16/9 tetrad with steps 5/4-9/8-14/11-9/8 and a pair of inversely related pentads, 1-5/4-7/5-8/5-16/9 with steps 5/4-9/8-8/7-10/9-9/8 and 1-5/4-7/5-14/9-16/9 with steps 5/4-9/8-10/9-8/7-9/8.


Equal divisions with prodigy chords include 12, 29, 31, 41, 43, 72, 74, 84, 103, 175, 197, 247c, 3129bcde, 391bcde and 463bcde.
Equal divisions with prodigy chords include 12, 29, 31, 41, 43, 72, 74, 84, 103, 175, 197, 247c, 319bcde, 391bcde and 463bcde.


=Miracle essentially tempered chords=
=Miracle essentially tempered chords=
Line 19: Line 19:
<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;prodigy chords&lt;/title&gt;&lt;/head&gt;&lt;body&gt;A &lt;em&gt;prodigy chord&lt;/em&gt; is an 11 odd limit &lt;a class="wiki_link" href="/Dyadic%20chord"&gt;essentially tempered chord&lt;/a&gt; in &lt;a class="wiki_link" href="/Marvel%20family#Prodigy"&gt;prodigy temperament&lt;/a&gt;. Since 441/440 is tempered out in prodigy, &lt;a class="wiki_link" href="/werckismic%20chords"&gt;werckismic chords&lt;/a&gt; are also prodigy chords, and since 225/224 is tempered out, the 9 odd limit marvel chords are prodigy chords. Aside from these, there are three more prodigy chords: a 1-5/4-7/5-16/9 tetrad with steps 5/4-9/8-14/11-9/8 and a pair of inversely related pentads, 1-5/4-7/5-8/5-16/9 with steps 5/4-9/8-8/7-10/9-9/8 and 1-5/4-7/5-14/9-16/9 with steps 5/4-9/8-10/9-8/7-9/8.&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;prodigy chords&lt;/title&gt;&lt;/head&gt;&lt;body&gt;A &lt;em&gt;prodigy chord&lt;/em&gt; is an 11 odd limit &lt;a class="wiki_link" href="/Dyadic%20chord"&gt;essentially tempered chord&lt;/a&gt; in &lt;a class="wiki_link" href="/Marvel%20family#Prodigy"&gt;prodigy temperament&lt;/a&gt;. Since 441/440 is tempered out in prodigy, &lt;a class="wiki_link" href="/werckismic%20chords"&gt;werckismic chords&lt;/a&gt; are also prodigy chords, and since 225/224 is tempered out, the 9 odd limit marvel chords are prodigy chords. Aside from these, there are three more prodigy chords: a 1-5/4-7/5-16/9 tetrad with steps 5/4-9/8-14/11-9/8 and a pair of inversely related pentads, 1-5/4-7/5-8/5-16/9 with steps 5/4-9/8-8/7-10/9-9/8 and 1-5/4-7/5-14/9-16/9 with steps 5/4-9/8-10/9-8/7-9/8.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Equal divisions with prodigy chords include 12, 29, 31, 41, 43, 72, 74, 84, 103, 175, 197, 247c, 3129bcde, 391bcde and 463bcde.&lt;br /&gt;
Equal divisions with prodigy chords include 12, 29, 31, 41, 43, 72, 74, 84, 103, 175, 197, 247c, 319bcde, 391bcde and 463bcde.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Miracle essentially tempered chords"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Miracle essentially tempered chords&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Miracle essentially tempered chords"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Miracle essentially tempered chords&lt;/h1&gt;