6L 1s: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 248864045 - Original comment: **
Wikispaces>guest
**Imported revision 248864829 - 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>2011-08-28 01:22:25 UTC</tt>.<br>
: This revision was by author [[User:guest|guest]] and made on <tt>2011-08-28 01:36:49 UTC</tt>.<br>
: The original revision id was <tt>248864045</tt>.<br>
: The original revision id was <tt>248864829</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">There are two notable harmonic entropy minima with this [[MOSScales|MOS]] pattern. The first is [[Tetracot family|tetracot]], in which four generators make a 3/2, and the second is known as [[roulette7]], the seven note albitonic scale for the 2.5.7.11.13 subgroup temperament [[Chromatic pairs#Roulette|roulette]]. (Other temperaments like "luna", "hemithird", and "hemiwürschmidt" have very similar 7-note MOSes.)
<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">There are two notable harmonic entropy minima with this [[MOSScales|MOS]] pattern. The first is [[Tetracot family|tetracot]], in which four generators make a 3/2, and the second is known as [[roulette7]], the seven note albitonic scale for the 2.5.7.11.13 subgroup temperament [[Chromatic pairs#Roulette|roulette]]. (Other temperaments like "luna", "hemithird", and "hemiwürschmidt" have very similar 7-note MOSes.)


The 6L+1s pattern also houses a temperament of the 11th and 13th harmonics, for example L=7 s=4 (46 edo) is such a scale.
The 6L+1s pattern also houses a temperament of the 11th and 13th harmonics, for example L=7 s=4 (46 edo) is such a scale.
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||  ||  || 3\20 ||  ||  ||  || 180 ||  ||
||  ||  || 3\20 ||  ||  ||  || 180 ||  ||
||  ||  ||  ||  || 8\53 ||  || 181.13 ||  ||
||  ||  ||  ||  || 8\53 ||  || 181.13 ||  ||
||  ||  ||  ||  ||  || 13\86 || 181.40 || Unnamed golden temperament ||
||  ||  ||  ||  ||  || 13\86 || 181.40 || Unnamed golden temperament (discussed in [[http://launch.groups.yahoo.com/group/tuning/message/100254|this thread]]) ||
||  ||  ||  || 5\33 ||  ||  || 181.82 ||  ||
||  ||  ||  || 5\33 ||  ||  || 181.82 ||  ||
||  || 2\13 ||  ||  ||  ||  || 184.62 ||  ||
||  || 2\13 ||  ||  ||  ||  || 184.62 ||  ||
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|| 1\6 ||  ||  ||  ||  ||  || 200 ||  ||</pre></div>
|| 1\6 ||  ||  ||  ||  ||  || 200 ||  ||</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;6L 1s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;There are two notable harmonic entropy minima with this &lt;a class="wiki_link" href="/MOSScales"&gt;MOS&lt;/a&gt; pattern. The first is &lt;a class="wiki_link" href="/Tetracot%20family"&gt;tetracot&lt;/a&gt;, in which four generators make a 3/2, and the second is known as &lt;a class="wiki_link" href="/roulette7"&gt;roulette7&lt;/a&gt;, the seven note albitonic scale for the 2.5.7.11.13 subgroup temperament &lt;a class="wiki_link" href="/Chromatic%20pairs#Roulette"&gt;roulette&lt;/a&gt;. (Other temperaments like &amp;quot;luna&amp;quot;, &amp;quot;hemithird&amp;quot;, and &amp;quot;hemiwürschmidt&amp;quot; have very similar 7-note MOSes.)&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;6L 1s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;There are two notable harmonic entropy minima with this &lt;a class="wiki_link" href="/MOSScales"&gt;MOS&lt;/a&gt; pattern. The first is &lt;a class="wiki_link" href="/Tetracot%20family"&gt;tetracot&lt;/a&gt;, in which four generators make a 3/2, and the second is known as &lt;a class="wiki_link" href="/roulette7"&gt;roulette7&lt;/a&gt;, the seven note albitonic scale for the 2.5.7.11.13 subgroup temperament &lt;a class="wiki_link" href="/Chromatic%20pairs#Roulette"&gt;roulette&lt;/a&gt;. (Other temperaments like &amp;quot;luna&amp;quot;, &amp;quot;hemithird&amp;quot;, and &amp;quot;hemiwürschmidt&amp;quot; have very similar 7-note MOSes.)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The 6L+1s pattern also houses a temperament of the 11th and 13th harmonics, for example L=7 s=4 (46 edo) is such a scale.&lt;br /&gt;
The 6L+1s pattern also houses a temperament of the 11th and 13th harmonics, for example L=7 s=4 (46 edo) is such a scale.&lt;br /&gt;
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         &lt;td&gt;181.40&lt;br /&gt;
         &lt;td&gt;181.40&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Unnamed golden temperament&lt;br /&gt;
         &lt;td&gt;Unnamed golden temperament (discussed in &lt;a class="wiki_link_ext" href="http://launch.groups.yahoo.com/group/tuning/message/100254" rel="nofollow"&gt;this thread&lt;/a&gt;)&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;