Semaphore and godzilla: Difference between revisions
Wikispaces>xenwolf **Imported revision 246547581 - Original comment: some links added** |
Wikispaces>keenanpepper **Imported revision 248974035 - 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: | : This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2011-08-28 19:58:46 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>248974035</tt>.<br> | ||
: The revision comment was: <tt> | : 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"> | <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">Semiphore, of the [[Semaphore family]], is characterized by the vanishing of [[49_48|49/48]], so the generator represents [[8_7|8/7]] and [[7_6|7/6]] equally. This results in a very low [[complexity]] 2.3.7 [[temperament]], with the drawback that most intervals of 7 must be out of tune by at least half of 49/48, or about 18 [[cent]]s. | ||
If 5 is mapped at all, it makes sense to map it to -8 [[generator]]s by [[tempering out]] [[81_80|81/80]], making it a [[meantone temperament]]. This temperament is called "[[godzilla]]". | If 5 is mapped at all, it makes sense to map it to -8 [[generator]]s by [[tempering out]] [[81_80|81/80]], making it a [[meantone temperament]]. This temperament is called "[[godzilla]]". | ||
==Interval chains== | ==Interval chains== | ||
=== | ===Semiphore=== | ||
|| 198.46 || 448.85 || 699.23 || 949.62 || 0 || 250.38 || 500.77 || 751.15 || 1001.54 || | || 198.46 || 448.85 || 699.23 || 949.62 || 0 || 250.38 || 500.77 || 751.15 || 1001.54 || | ||
|| [[9_8|9/8]] || [[9_7|9/7]] || [[3_2|3/2]] || 12/7~7/4 || [[1_1|1/1]] || 8/7~7/6 || [[4_3|4/3]] || [[14_9|14/9]] || [[16_9|16/9]] || | || [[9_8|9/8]] || [[9_7|9/7]] || [[3_2|3/2]] || 12/7~7/4 || [[1_1|1/1]] || 8/7~7/6 || [[4_3|4/3]] || [[14_9|14/9]] || [[16_9|16/9]] || | ||
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|| JI intervals represented || 10/9~9/8 || 5/4 || 9/7 || 10/7 || 3/2 || 5/3 || 12/7~7/4 || ||</pre></div> | || JI intervals represented || 10/9~9/8 || 5/4 || 9/7 || 10/7 || 3/2 || 5/3 || 12/7~7/4 || ||</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>Semaphore and Godzilla</title></head><body> | <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>Semaphore and Godzilla</title></head><body>Semiphore, of the <a class="wiki_link" href="/Semaphore%20family">Semaphore family</a>, is characterized by the vanishing of <a class="wiki_link" href="/49_48">49/48</a>, so the generator represents <a class="wiki_link" href="/8_7">8/7</a> and <a class="wiki_link" href="/7_6">7/6</a> equally. This results in a very low <a class="wiki_link" href="/complexity">complexity</a> 2.3.7 <a class="wiki_link" href="/temperament">temperament</a>, with the drawback that most intervals of 7 must be out of tune by at least half of 49/48, or about 18 <a class="wiki_link" href="/cent">cent</a>s.<br /> | ||
<br /> | <br /> | ||
If 5 is mapped at all, it makes sense to map it to -8 <a class="wiki_link" href="/generator">generator</a>s by <a class="wiki_link" href="/tempering%20out">tempering out</a> <a class="wiki_link" href="/81_80">81/80</a>, making it a <a class="wiki_link" href="/meantone%20temperament">meantone temperament</a>. This temperament is called &quot;<a class="wiki_link" href="/godzilla">godzilla</a>&quot;.<br /> | If 5 is mapped at all, it makes sense to map it to -8 <a class="wiki_link" href="/generator">generator</a>s by <a class="wiki_link" href="/tempering%20out">tempering out</a> <a class="wiki_link" href="/81_80">81/80</a>, making it a <a class="wiki_link" href="/meantone%20temperament">meantone temperament</a>. This temperament is called &quot;<a class="wiki_link" href="/godzilla">godzilla</a>&quot;.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Interval chains"></a><!-- ws:end:WikiTextHeadingRule:0 -->Interval chains</h2> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Interval chains"></a><!-- ws:end:WikiTextHeadingRule:0 -->Interval chains</h2> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h3&gt; --><h3 id="toc1"><a name="x-Interval chains- | <!-- ws:start:WikiTextHeadingRule:2:&lt;h3&gt; --><h3 id="toc1"><a name="x-Interval chains-Semiphore"></a><!-- ws:end:WikiTextHeadingRule:2 -->Semiphore</h3> | ||