Sensipent family: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 302855630 - Original comment: **
Wikispaces>Sarzadoce
**Imported revision 314130236 - 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>2012-02-17 14:50:29 UTC</tt>.<br>
: This revision was by author [[User:Sarzadoce|Sarzadoce]] and made on <tt>2012-03-23 20:10:43 UTC</tt>.<br>
: The original revision id was <tt>302855630</tt>.<br>
: The original revision id was <tt>314130236</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">[[toc]]
<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">[[toc]]
=Sensipent=  
=Sensipent=  
[[Comma]]: 78732/78125 = |2 9 -7&gt;
[[Comma]]: 78732/78125 = |2 9 -7&gt;
Line 18: Line 17:


=Sensi=  
=Sensi=  
Sensi tempers out 686/675, 245/243 and 4375/4374 in addition to 126/125, and can be described as the 19&amp;27 temperament. It has as a generator half of a slightly wide major sixth, which gives an interval sharp of 9/7 and flat of 13/10, both of which can be used to identify it, as [[13-limit]] sensi tempers out 91/90. 22/17, in the middle, is even closer to the generator. [[46edo]] is an excellent sensi tuning, and MOS of size 11, 19 and 27 are available.
Sensi tempers out 686/675, 245/243 and 4375/4374 in addition to 126/125, and can be described as the 19&amp;27 temperament. It has as a generator half the size of a slightly wide major sixth, which gives an interval sharp of 9/7 and flat of 13/10, both of which can be used to identify it, as [[13-limit]] sensi tempers out 91/90. 22/17, in the middle, is even closer to the generator. [[46edo]] is an excellent sensi tuning, and MOS of size 11, 19 and 27 are available. The name "sensi" is a play on the words "semi-" and "sixth."


[[Comma|Commas]]: 126/125, 245/243
[[Comma|Commas]]: 126/125, 245/243
Line 81: Line 80:


[[Map]]: [&lt;1 6 8 11 23|, &lt;0 -7 -9 -13 -31|]
[[Map]]: [&lt;1 6 8 11 23|, &lt;0 -7 -9 -13 -31|]
[[EDO]]s: 46, 119c, 165c  
[[EDO]]s: 46, 119c, 165c
[[Badness]]: 0.0295
[[Badness]]: 0.0295


Line 95: Line 94:
See [[Chords of sensus]] for a listing of chords.
See [[Chords of sensus]] for a listing of chords.


=Hemisensi=
=Hemisensi=  
Commas: 126/125, 243/242, 245/242
Commas: 126/125, 243/242, 245/242


Line 104: Line 103:
Badness: 0.0487
Badness: 0.0487


=Sensei=
=Sensei=  
Commas: 225/224, 78732/78125
Commas: 225/224, 78732/78125


Line 157: Line 156:
[[Map]]: [&lt;1 13 17 -1 4 -5 3 -5|, &lt;0 -21 -27 7 -1 16 2 17|]
[[Map]]: [&lt;1 13 17 -1 4 -5 3 -5|, &lt;0 -21 -27 7 -1 16 2 17|]
[[EDO]]s: 46, 103h, 149h, 252efh
[[EDO]]s: 46, 103h, 149h, 252efh
[[Badness]]: 0.0190
[[Badness]]: 0.0190</pre></div>
</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;Sensipent family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:30:&amp;lt;img id=&amp;quot;wikitext@@toc@@normal&amp;quot; class=&amp;quot;WikiMedia WikiMediaToc&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/normal?w=225&amp;amp;h=100&amp;quot;/&amp;gt; --&gt;&lt;div id="toc"&gt;&lt;h1 class="nopad"&gt;Table of Contents&lt;/h1&gt;&lt;!-- ws:end:WikiTextTocRule:30 --&gt;&lt;!-- ws:start:WikiTextTocRule:31: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Sensipent"&gt;Sensipent&lt;/a&gt;&lt;/div&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;Sensipent family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:30:&amp;lt;img id=&amp;quot;wikitext@@toc@@normal&amp;quot; class=&amp;quot;WikiMedia WikiMediaToc&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/normal?w=225&amp;amp;h=100&amp;quot;/&amp;gt; --&gt;&lt;div id="toc"&gt;&lt;h1 class="nopad"&gt;Table of Contents&lt;/h1&gt;&lt;!-- ws:end:WikiTextTocRule:30 --&gt;&lt;!-- ws:start:WikiTextTocRule:31: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Sensipent"&gt;Sensipent&lt;/a&gt;&lt;/div&gt;
Line 176: Line 174:
&lt;!-- ws:end:WikiTextTocRule:44 --&gt;&lt;!-- ws:start:WikiTextTocRule:45: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Heinz-19-limit"&gt;19-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:44 --&gt;&lt;!-- ws:start:WikiTextTocRule:45: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Heinz-19-limit"&gt;19-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:45 --&gt;&lt;!-- ws:start:WikiTextTocRule:46: --&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:45 --&gt;&lt;!-- ws:start:WikiTextTocRule:46: --&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:46 --&gt;&lt;br /&gt;
&lt;!-- ws:end:WikiTextTocRule:46 --&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Sensipent"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Sensipent&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Sensipent"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Sensipent&lt;/h1&gt;
  &lt;a class="wiki_link" href="/Comma"&gt;Comma&lt;/a&gt;: 78732/78125 = |2 9 -7&amp;gt;&lt;br /&gt;
  &lt;a class="wiki_link" href="/Comma"&gt;Comma&lt;/a&gt;: 78732/78125 = |2 9 -7&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 187: Line 184:
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Sensi"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Sensi&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Sensi"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Sensi&lt;/h1&gt;
  Sensi tempers out 686/675, 245/243 and 4375/4374 in addition to 126/125, and can be described as the 19&amp;amp;27 temperament. It has as a generator half of a slightly wide major sixth, which gives an interval sharp of 9/7 and flat of 13/10, both of which can be used to identify it, as &lt;a class="wiki_link" href="/13-limit"&gt;13-limit&lt;/a&gt; sensi tempers out 91/90. 22/17, in the middle, is even closer to the generator. &lt;a class="wiki_link" href="/46edo"&gt;46edo&lt;/a&gt; is an excellent sensi tuning, and MOS of size 11, 19 and 27 are available.&lt;br /&gt;
  Sensi tempers out 686/675, 245/243 and 4375/4374 in addition to 126/125, and can be described as the 19&amp;amp;27 temperament. It has as a generator half the size of a slightly wide major sixth, which gives an interval sharp of 9/7 and flat of 13/10, both of which can be used to identify it, as &lt;a class="wiki_link" href="/13-limit"&gt;13-limit&lt;/a&gt; sensi tempers out 91/90. 22/17, in the middle, is even closer to the generator. &lt;a class="wiki_link" href="/46edo"&gt;46edo&lt;/a&gt; is an excellent sensi tuning, and MOS of size 11, 19 and 27 are available. The name &amp;quot;sensi&amp;quot; is a play on the words &amp;quot;semi-&amp;quot; and &amp;quot;sixth.&amp;quot;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 126/125, 245/243&lt;br /&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 126/125, 245/243&lt;br /&gt;
Line 250: Line 247:
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Map"&gt;Map&lt;/a&gt;: [&amp;lt;1 6 8 11 23|, &amp;lt;0 -7 -9 -13 -31|]&lt;br /&gt;
&lt;a class="wiki_link" href="/Map"&gt;Map&lt;/a&gt;: [&amp;lt;1 6 8 11 23|, &amp;lt;0 -7 -9 -13 -31|]&lt;br /&gt;
&lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt;s: 46, 119c, 165c &lt;br /&gt;
&lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt;s: 46, 119c, 165c&lt;br /&gt;
&lt;a class="wiki_link" href="/Badness"&gt;Badness&lt;/a&gt;: 0.0295&lt;br /&gt;
&lt;a class="wiki_link" href="/Badness"&gt;Badness&lt;/a&gt;: 0.0295&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 265: Line 262:
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc8"&gt;&lt;a name="Hemisensi"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;Hemisensi&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc8"&gt;&lt;a name="Hemisensi"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;Hemisensi&lt;/h1&gt;
Commas: 126/125, 243/242, 245/242&lt;br /&gt;
Commas: 126/125, 243/242, 245/242&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~25/22 = 221.605&lt;br /&gt;
POTE generator: ~25/22 = 221.605&lt;br /&gt;
Line 274: Line 271:
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc9"&gt;&lt;a name="Sensei"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;Sensei&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc9"&gt;&lt;a name="Sensei"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;Sensei&lt;/h1&gt;
Commas: 225/224, 78732/78125&lt;br /&gt;
Commas: 225/224, 78732/78125&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~125/81 = 757.245&lt;br /&gt;
POTE generator: ~125/81 = 757.245&lt;br /&gt;