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Jove chords: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
A '''jove chord''' is an [[11-odd-limit]] [[essentially tempered chord]] in [[jove]] temperament. Since [[243/242]] is tempered out, [[rastmic chords]] are also jove chords; since [[441/440]] is tempered out, [[werckismic chords]] are also jove chords; and since [[540/539]] is tempered out, [[swetismic chords]] are also jove chords. Aside from these, there are also essentially jove tempered chords.  
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>2011-07-31 16:22:56 UTC</tt>.<br>
These are nine tetrads, one palindromic tetrad and four pairs in inverse relationship:
: The original revision id was <tt>243615607</tt>.<br>
* 1–11/9–10/7–7/4 with steps 11/9, 7/6, 11/9, 8/7;
: The revision comment was: <tt></tt><br>
* 1–11/9–3/2–7/4 with steps 11/9, 11/9, 7/6, 8/7, and its inverse
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
* 1–11/9–3/2–12/7 with steps 11/9, 11/9, 8/7, 7/6;
<h4>Original Wikitext content:</h4>
* 1–9/8–11/9–7/4 with steps 9/8, 12/11, 10/7, 8/7, and its inverse
<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">The //jove neutral tetrads// are either of three 11-limit [[Dyadic chord|essentially tempered chords]] with steps consisting of two 11/9 neutral thirds, a 7/6 and an 8/7, tempered in [[Breed family#Jove, aka Wonder|jove temperament]], the 10&amp;31&amp;58 rank three 11-limit temperament tempering out 243/242, 441/440 and 540/539. We can have either 11/9-11/9-7/6-8/7, leading to a tempering of 1-11/9-3/2-7/4; 11/9-11/9-8/7-7/6, leading to a tempering of 1-11/9-3/2-12/7, or 11/9-7/6-11/9-8/7, leading to a tempering of 1-11/9-7/5-7/4. Equal divisions with jove neutral tetrads include 31, 41, 58, 72, 130 and 202.  </pre></div>
* 1–10/7–14/9–7/4 with steps 10/7, 12/11, 9/8, 8/7;
<h4>Original HTML content:</h4>
* 1–9/8–11/7–11/6 with steps 9/8, 7/5, 7/6, 12/11, and its inverse
<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;jove chords&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;em&gt;jove neutral tetrads&lt;/em&gt; are either of three 11-limit &lt;a class="wiki_link" href="/Dyadic%20chord"&gt;essentially tempered chords&lt;/a&gt; with steps consisting of two 11/9 neutral thirds, a 7/6 and an 8/7, tempered in &lt;a class="wiki_link" href="/Breed%20family#Jove, aka Wonder"&gt;jove temperament&lt;/a&gt;, the 10&amp;amp;31&amp;amp;58 rank three 11-limit temperament tempering out 243/242, 441/440 and 540/539. We can have either 11/9-11/9-7/6-8/7, leading to a tempering of 1-11/9-3/2-7/4; 11/9-11/9-8/7-7/6, leading to a tempering of 1-11/9-3/2-12/7, or 11/9-7/6-11/9-8/7, leading to a tempering of 1-11/9-7/5-7/4. Equal divisions with jove neutral tetrads include 31, 41, 58, 72, 130 and 202.&lt;/body&gt;&lt;/html&gt;</pre></div>
* 1–9/8–11/9–10/7 with steps 9/8, 12/11, 7/6, 7/5;
* 1–9/7–7/5–11/7 with steps 9/7, 12/11, 9/8, 14/11, and its inverse
* 1–9/7–18/11–11/6 with steps 9/7, 14/11, 9/8, 12/11.
 
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 its inverse
* 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 its inverse
* 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 its inverse
* 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 its inverse
* 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 its inverse
* 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 its inverse
* 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 its inverse
* 1–14/11–10/7–14/9–7/4 with steps 14/11, 9/8, 12/11, 9/8, 8/7;
* 1–9/8–11/9–11/7–7/4 with steps 9/8, 12/11, 9/7, 10/9, 8/7, and its inverse
* 1–9/7–7/5–11/7–9/5 with steps 9/7, 12/11, 9/8, 8/7, 10/9.
 
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 its inverse
* 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;
* 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 its inverse
* 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.
 
The essentially jove chords number tetrads: 9, pentads: 16, hexads: 6, for a total of 31.
 
[[Equal temperament]]s with jove tetrads include {{EDOs| 31, 41, 58, 72, 130, 161, 171 and 202 }}.
 
[[Category:11-odd-limit chords]]
[[Category:Essentially tempered chords]]
[[Category:Tetrads]]
[[Category:Pentads]]
[[Category:Hexads]]
[[Category:Jove]]
Retrieved from "https://en.xen.wiki/w/Jove_chords"