4L 5s: Difference between revisions
Wikispaces>keenanpepper **Imported revision 227574018 - Original comment: ** |
Wikispaces>guest **Imported revision 248871461 - 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:guest|guest]] and made on <tt>2011-08-28 04:01:44 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>248871461</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> | ||
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|| || || || || 12\53 || 5 7 5 7 5 7 5 7 5 || 271.698 ||= Orwell is around here || | || || || || || 12\53 || 5 7 5 7 5 7 5 7 5 || 271.698 ||= Orwell is around here || | ||
|| || || 5\22 || || || 2 3 2 3 2 3 2 3 2 || 272.727 ||= || | || || || 5\22 || || || 2 3 2 3 2 3 2 3 2 || 272.727 ||= || | ||
|| || || || || 13\57 || 5 8 5 8 5 8 5 8 5 || 273.684 ||= Golden orwell (bad tuning) || | |||
|| || || || 8\35 || || 3 5 3 5 3 5 3 5 3 || 274.286 ||= || | || || || || 8\35 || || 3 5 3 5 3 5 3 5 3 || 274.286 ||= || | ||
|| || 3\13 || || || || 1 2 1 2 1 2 1 2 1 || 276.923 ||= Boundary of propriety: generators | || || 3\13 || || || || 1 2 1 2 1 2 1 2 1 || 276.923 ||= Boundary of propriety: generators | ||
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|| 1\4 || || || || || 0 1 0 1 0 1 0 1 0 || 300.000 ||= || | || 1\4 || || || || || 0 1 0 1 0 1 0 1 0 || 300.000 ||= || | ||
Note that between 7\31 and 5\22, g approximates frequency ratio 7:6, 2g approximates | Note that between 7\31 and 5\22, g approximates frequency ratio 7:6, 2g approximates 11:8, and 3g approximates 8:5. This defines the range of Orwell Temperament, which is the only notable harmonic entropy minimum with this MOS pattern. 4L 5s scales outside of that range are not suitable for Orwell.</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>4L 5s</title></head><body>4L 5s refers to the structure of <a class="wiki_link" href="/MOSScales">MOS Scales</a> whose generator falls between 2\9 (two degrees of <a class="wiki_link" href="/9edo">9edo</a> = approx. 266.667¢) and 1\4 (one degree of <a class="wiki_link" href="/4edo">4edo</a> = 300¢). In the case of 9edo, L and s are the same size; in the case of 4edo, s is so small it disappears. The spectrum, then, goes something like:<br /> | <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>4L 5s</title></head><body>4L 5s refers to the structure of <a class="wiki_link" href="/MOSScales">MOS Scales</a> whose generator falls between 2\9 (two degrees of <a class="wiki_link" href="/9edo">9edo</a> = approx. 266.667¢) and 1\4 (one degree of <a class="wiki_link" href="/4edo">4edo</a> = 300¢). In the case of 9edo, L and s are the same size; in the case of 4edo, s is so small it disappears. The spectrum, then, goes something like:<br /> | ||
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<td>13\57<br /> | |||
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<td>5 8 5 8 5 8 5 8 5<br /> | |||
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<td>273.684<br /> | |||
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<td style="text-align: center;">Golden orwell (bad tuning)<br /> | |||
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Note that between 7\31 and 5\22, g approximates frequency ratio 7:6, 2g approximates | Note that between 7\31 and 5\22, g approximates frequency ratio 7:6, 2g approximates 11:8, and 3g approximates 8:5. This defines the range of Orwell Temperament, which is the only notable harmonic entropy minimum with this MOS pattern. 4L 5s scales outside of that range are not suitable for Orwell.</body></html></pre></div> | ||