7L 8s: Difference between revisions

Wikispaces>JosephRuhf
**Imported revision 532253544 - Original comment: **
Wikispaces>JosephRuhf
**Imported revision 540907760 - 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:JosephRuhf|JosephRuhf]] and made on <tt>2014-11-22 22:54:36 UTC</tt>.<br>
: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-02-13 12:50:36 UTC</tt>.<br>
: The original revision id was <tt>532253544</tt>.<br>
: The original revision id was <tt>540907760</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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||||||||||~ Generator ||~ scale ||~ g ||~ 2g ||~ 3g ||~ 4g ||~ 5g ||~ 6g ||~ 7g ||~ Comments ||
||||||||||~ Generator ||~ scale ||~ g ||~ 2g ||~ 3g ||~ 4g ||~ 5g ||~ 6g ||~ 7g ||~ Comments ||
||= 2\15 ||=  ||=  ||=  ||  ||= 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ||= 160.0 ||= 320.0 ||= 480.0 ||= 640.0 || 800.0 || 960.0 || 1120.0 ||=  ||
||= 2\15 ||=  ||=  ||=  ||  ||= 1 1 1 1 1 1 1 1
||  ||  ||  ||  || 9\67 || 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 || 161.2 || 322.4 || 483.6 || 644.8 || 806 || 967.2 || 1128.4 ||  ||
1 1 1 1 1 1 1 ||= 160.0 ||= 320.0 ||= 480.0 ||= 640.0 || 800.0 || 960.0 || 1120.0 ||=  ||
||=  ||=  ||=  ||= 7\52 ||  ||= 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 ||= 161.5 ||= 323.1 ||= 484.6 ||= 646.2 || 807.7 || 969.2 || 1130.8 ||=  ||
||  ||  ||  ||  || 9\67 ||= 4 5 4 5 4 5 4 5  
||=  ||=  ||= 5\37 ||=  ||  ||= 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 ||= 162.2 ||= 324.3 ||= 486.5 ||= 648.6 || 810.8 || 973.0 || 1135.1 ||= Optimal rank range (L/s=3/2) porcupine ||
4 5 4 5 4 5 4 ||= 161.2 ||= 322.4 || 483.6 || 644.8 || 806 || 967.2 || 1128.4 ||  ||
||  ||  ||  ||  || 13\96 || 5 8 5 8 5 8 5 8 5 8 5 8 5 8 5 || 162.5 || 325 || 487.5 || 650 || 812.5 || 975 || 1137.5 ||= Golden porcupine when L/s=phi ||
||=  ||=  ||=  ||= 7\52 ||  ||= 3 4 3 4 3 4 3 4
||=  ||=  ||=  ||= 8\59 ||  ||= 3 5 3 5 3 5 3 5 3 5 3 5 3 5 3 ||= 162.7 ||= 325.4 ||= 488.1 ||= 650.8 || 813.6 || 976.3 || 1139.0 ||=  ||
3 4 3 4 3 4 3 ||= 161.5 ||= 323.1 ||= 484.6 ||= 646.2 || 807.7 || 969.2 || 1130.8 ||=  ||
||=  ||= 3\22 ||=  ||=  ||  ||= 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 ||= 163.6 ||= 327.3 ||= 490.9 ||= 654.5 || 818.2 || 981.8 || 1145.5 ||= Boundary of propriety (generators
||=  ||=  ||= 5\37 ||=  ||  ||= 2 3 2 3 2 3 2 3  
2 3 2 3 2 3 2 ||= 162.2 ||= 324.3 ||= 486.5 ||= 648.6 || 810.8 || 973.0 || 1135.1 ||= Optimal rank range (L/s=3/2) porcupine ||
||  ||  ||  ||  || 13\96 ||= 5 8 5 8 5 8 5 8  
5 8 5 8 5 8 5 ||= 162.5 ||= 325 || 487.5 || 650 || 812.5 || 975 || 1137.5 ||= Golden porcupine when L/s=phi ||
||=  ||=  ||=  ||= 8\59 ||  ||= 3 5 3 5 3 5 3 5
3 5 3 5 3 5 3 ||= 162.7 ||= 325.4 ||= 488.1 ||= 650.8 || 813.6 || 976.3 || 1139.0 ||=  ||
||=  ||= 3\22 ||=  ||=  ||  ||= 1 2 1 2 1 2 1 2  
1 2 1 2 1 2 1 ||= 163.6 ||= 327.3 ||= 490.9 ||= 654.5 || 818.2 || 981.8 || 1145.5 ||= Boundary of propriety (generators
smaller than this are proper) ||
smaller than this are proper) ||
||=  ||=  ||=  ||= 7\51 ||  ||= 2 5 2 5 2 5 2 5 2 5 2 5 2 5 2 ||= 164.7 ||= 329.4 ||= 494.1 ||= 658.8 || 823.5 || 988.2 || 1152.9 ||=  ||
||=  ||=  ||=  ||= 7\51 ||  ||= 2 5 2 5 2 5 2 5
||=  ||=  ||= 4\29 ||=  ||  ||= 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 ||= 165.5 ||= 331.0 ||= 496.6 ||= 662.1 || 827.6 || 993.1 || 1158.6 ||=  ||
2 5 2 5 2 5 2 ||= 164.7 ||= 329.4 ||= 494.1 ||= 658.8 || 823.5 || 988.2 || 1152.9 ||=  ||
||=  ||=  ||=  ||= 5\36 ||  ||= 1 4 1 4 1 4 1 4 1 4 1 4 1 4 1 ||= 166.7 ||= 333.3 ||= 500.0 ||= 666.7 || 833.3 || 1000.0 || 1166.7 ||=  ||
||  ||  ||  ||  ||  ||= 1 2.97 1 2.97 etc. ||= 165.48 ||= 330.96 || 496.4 || 662.0 || 827.4 || 992.9 || 1158.8 || &lt;span style="display: block; text-align: center;"&gt;L/s=3/2^(1/75)&lt;/span&gt; ||
||  ||  ||  ||  || 6\43 || 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 || 167.4 || 334.9 || 502.3 || 669.8 || 837.2 || 1004.65 || 1172.1 ||  ||
||=  ||=  ||= 4\29 ||=  ||  ||= 1 3 1 3 1 3 1 3
||= 1\7 ||=  ||=  ||=  ||  ||= 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 ||= 171.4 ||= 342.9 ||= 514.3 ||= 685.7 || 857.1 || 1028.6 || 1200.0 ||=  ||</pre></div>
1 3 1 3 1 3 1 ||= 165.5 ||= 331.0 ||= 496.6 ||= 662.1 || 827.6 || 993.1 || 1158.6 ||=  ||
||  ||  ||  ||  ||  ||= 1 3.03 1 3.03 etc. ||= 165.6 ||= 331.1 || 496.7 || 662.2 || 827.8 || 993.3 || 1158.9 || &lt;span style="display: block; text-align: center;"&gt;L/s=3*2^(1/75)&lt;/span&gt; ||
||=  ||=  ||=  ||= 5\36 ||  ||= 1 4 1 4 1 4 1 4
1 4 1 4 1 4 1 ||= 166.7 ||= 333.3 ||= 500.0 ||= 666.7 || 833.3 || 1000.0 || 1166.7 ||=  ||
||  ||  ||  ||  || 6\43 ||= 1 5 1 5 1 5 1 5
1 5 1 5 1 5 1 ||= 167.4 ||= 334.9 || 502.3 || 669.8 || 837.2 || 1004.65 || 1172.1 ||  ||
||= 1\7 ||=  ||=  ||=  ||  ||= 0 1 0 1 0 1 0 1
0 1 0 1 0 1 0 ||= 171.4 ||= 342.9 ||= 514.3 ||= 685.7 || 857.1 || 1028.6 || 1200.0 ||=  ||</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;7L 8s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;7L 8s refers to a Moment of Symmetry scale with 7 large steps and 8 small steps. One especially notable temperament that falls into this MOS pattern is &lt;a class="wiki_link" href="/porcupine"&gt;porcupine&lt;/a&gt;, of the &lt;a class="wiki_link" href="/porcupine%20family"&gt;porcupine family&lt;/a&gt;.&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;7L 8s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;7L 8s refers to a Moment of Symmetry scale with 7 large steps and 8 small steps. One especially notable temperament that falls into this MOS pattern is &lt;a class="wiki_link" href="/porcupine"&gt;porcupine&lt;/a&gt;, of the &lt;a class="wiki_link" href="/porcupine%20family"&gt;porcupine family&lt;/a&gt;.&lt;br /&gt;
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         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;1 1 1 1 1 1 1 1 1 1 1 1 1 1 1&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;1 1 1 1 1 1 1 1&lt;br /&gt;
1 1 1 1 1 1 1&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;160.0&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;160.0&lt;br /&gt;
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         &lt;td&gt;9\67&lt;br /&gt;
         &lt;td&gt;9\67&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;5 4 5 4 5 4 5 4 5 4 5 4 5 4 5&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;4 5 4 5 4 5 4 5 &lt;br /&gt;
4 5 4 5 4 5 4&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;161.2&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;161.2&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;322.4&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;322.4&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;483.6&lt;br /&gt;
         &lt;td&gt;483.6&lt;br /&gt;
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         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;3 4 3 4 3 4 3 4 3 4 3 4 3 4 3&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;3 4 3 4 3 4 3 4&lt;br /&gt;
3 4 3 4 3 4 3&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;161.5&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;161.5&lt;br /&gt;
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         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;2 3 2 3 2 3 2 3 2 3 2 3 2 3 2&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;2 3 2 3 2 3 2 3 &lt;br /&gt;
2 3 2 3 2 3 2&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;162.2&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;162.2&lt;br /&gt;
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         &lt;td&gt;13\96&lt;br /&gt;
         &lt;td&gt;13\96&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;5 8 5 8 5 8 5 8 5 8 5 8 5 8 5&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;5 8 5 8 5 8 5 8 &lt;br /&gt;
5 8 5 8 5 8 5&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;162.5&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;162.5&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;325&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;325&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;487.5&lt;br /&gt;
         &lt;td&gt;487.5&lt;br /&gt;
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         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;3 5 3 5 3 5 3 5 3 5 3 5 3 5 3&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;3 5 3 5 3 5 3 5&lt;br /&gt;
3 5 3 5 3 5 3&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;162.7&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;162.7&lt;br /&gt;
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         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;1 2 1 2 1 2 1 2 1 2 1 2 1 2 1&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;1 2 1 2 1 2 1 2 &lt;br /&gt;
1 2 1 2 1 2 1&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;163.6&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;163.6&lt;br /&gt;
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         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;2 5 2 5 2 5 2 5 2 5 2 5 2 5 2&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;2 5 2 5 2 5 2 5&lt;br /&gt;
2 5 2 5 2 5 2&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;164.7&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;164.7&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;1 2.97 1 2.97 etc.&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;165.48&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;330.96&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;496.4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;662.0&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;827.4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;992.9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1158.8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="display: block; text-align: center;"&gt;L/s=3/2^(1/75)&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;1 3 1 3 1 3 1 3 1 3 1 3 1 3 1&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;1 3 1 3 1 3 1 3&lt;br /&gt;
1 3 1 3 1 3 1&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;165.5&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;165.5&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;1 3.03 1 3.03 etc.&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;165.6&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;331.1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;496.7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;662.2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;827.8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;993.3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1158.9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="display: block; text-align: center;"&gt;L/s=3*2^(1/75)&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;1 4 1 4 1 4 1 4 1 4 1 4 1 4 1&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;1 4 1 4 1 4 1 4&lt;br /&gt;
1 4 1 4 1 4 1&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;166.7&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;166.7&lt;br /&gt;
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         &lt;td&gt;6\43&lt;br /&gt;
         &lt;td&gt;6\43&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1 5 1 5 1 5 1 5 1 5 1 5 1 5 1&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;1 5 1 5 1 5 1 5&lt;br /&gt;
1 5 1 5 1 5 1&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;167.4&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;167.4&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;334.9&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;334.9&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;502.3&lt;br /&gt;
         &lt;td&gt;502.3&lt;br /&gt;
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         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;0 1 0 1 0 1 0 1 0 1 0 1 0 1 0&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;0 1 0 1 0 1 0 1&lt;br /&gt;
0 1 0 1 0 1 0&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;171.4&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;171.4&lt;br /&gt;