5L 3s: Difference between revisions

Wikispaces>Andrew_Heathwaite
**Imported revision 160518485 - Original comment: **
Wikispaces>Andrew_Heathwaite
**Imported revision 160864197 - 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:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2010-09-05 18:32:27 UTC</tt>.<br>
: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2010-09-07 12:12:17 UTC</tt>.<br>
: The original revision id was <tt>160518485</tt>.<br>
: The original revision id was <tt>160864197</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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<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">5L 3s refers to the structure of moment of symmetry scales with generators ranging from 2\5 (two degrees of [[5edo]] = approx. 480¢) to 3\8 (three degrees of [[8edo]] = 450¢). In the case of 8edo, L and s are the same size; in the case of 5edo, s becomes so small it disappears (and all that remains are the five equal L's). The spectrum looks like this:
<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">5L 3s refers to the structure of moment of symmetry scales with generators ranging from 2\5 (two degrees of [[5edo]] = approx. 480¢) to 3\8 (three degrees of [[8edo]] = 450¢). In the case of 8edo, L and s are the same size; in the case of 5edo, s becomes so small it disappears (and all that remains are the five equal L's). The spectrum looks like this:


||  ||  ||  ||  || scale || g in cents || 2g ||
||  ||  ||  ||  || scale || g in cents || 2g || 3g || 4g ||
|| 2\5 ||  ||  ||  || 1 0 1 1 0 1 0 1 || 480.000 || 960.000 ||
|| 2\5 ||  ||  ||  || 1 0 1 1 0 1 0 1 || 480.000 || 960.000 || 240.000 || 720.000 ||
||  ||  ||  || 9\23 || 4 1 4 4 1 4 1 4 || 469.565 || 939.130 ||
||  ||  ||  || 9\23 || 4 1 4 4 1 4 1 4 || 469.565 || 939.130 || 208.696 || 678.261 ||
||  ||  || 7\18 ||  || 3 1 3 3 1 3 1 3 || 466.667 || 933.333 ||
||  ||  || 7\18 ||  || 3 1 3 3 1 3 1 3 || 466.667 || 933.333 || 200.000 || 666.667 ||
||  ||  ||  || 12\31 || 5 2 5 5 2 5 2 5 || 464.516 || 929.032 ||
||  ||  ||  || 12\31 || 5 2 5 5 2 5 2 5 || 464.516 || 929.032 || 193.549 || 658.065 ||
||  || 5\13 ||  ||  || 2 1 2 2 1 2 1 2 || 461.538 || 923.077 ||
||  || 5\13 ||  ||  || 2 1 2 2 1 2 1 2 || 461.538 || 923.077 || 184.615 || 646.154 ||
||  ||  ||  || 13\34 || 5 3 5 5 3 5 3 5 || 458.824 || 917.647 ||
||  ||  ||  || 13\34 || 5 3 5 5 3 5 3 5 || 458.824 || 917.647 || 176.471 || 635.294 ||
||  ||  || 8\21 ||  || 3 2 3 3 2 3 2 3 || 457.143 || 914.286 ||
||  ||  || 8\21 ||  || 3 2 3 3 2 3 2 3 || 457.143 || 914.286 || 171.429 || 628.571 ||
||  ||  ||  || 11\29 || 4 3 4 4 3 4 3 4 || 455.172 || 910.345 ||
||  ||  ||  || 11\29 || 4 3 4 4 3 4 3 4 || 455.172 || 910.345 || 165.517 || 620.690 ||
|| 3\8 ||  ||  ||  || 1 1 1 1 1 1 1 1 || 450.000 || 900.000 ||</pre></div>
|| 3\8 ||  ||  ||  || 1 1 1 1 1 1 1 1 || 450.000 || 900.000 || 150.000 || 600.000 ||</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;5L 3s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;5L 3s refers to the structure of moment of symmetry scales with generators ranging from 2\5 (two degrees of &lt;a class="wiki_link" href="/5edo"&gt;5edo&lt;/a&gt; = approx. 480¢) to 3\8 (three degrees of &lt;a class="wiki_link" href="/8edo"&gt;8edo&lt;/a&gt; = 450¢). In the case of 8edo, L and s are the same size; in the case of 5edo, s becomes so small it disappears (and all that remains are the five equal L's). The spectrum looks like this:&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;5L 3s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;5L 3s refers to the structure of moment of symmetry scales with generators ranging from 2\5 (two degrees of &lt;a class="wiki_link" href="/5edo"&gt;5edo&lt;/a&gt; = approx. 480¢) to 3\8 (three degrees of &lt;a class="wiki_link" href="/8edo"&gt;8edo&lt;/a&gt; = 450¢). In the case of 8edo, L and s are the same size; in the case of 5edo, s becomes so small it disappears (and all that remains are the five equal L's). The spectrum looks like this:&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;2g&lt;br /&gt;
         &lt;td&gt;2g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4g&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;960.000&lt;br /&gt;
         &lt;td&gt;960.000&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;240.000&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;720.000&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;939.130&lt;br /&gt;
         &lt;td&gt;939.130&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;208.696&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;678.261&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;933.333&lt;br /&gt;
         &lt;td&gt;933.333&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;200.000&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;666.667&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;929.032&lt;br /&gt;
         &lt;td&gt;929.032&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;193.549&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;658.065&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;923.077&lt;br /&gt;
         &lt;td&gt;923.077&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;184.615&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;646.154&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;917.647&lt;br /&gt;
         &lt;td&gt;917.647&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;176.471&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;635.294&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;914.286&lt;br /&gt;
         &lt;td&gt;914.286&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;171.429&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;628.571&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;910.345&lt;br /&gt;
         &lt;td&gt;910.345&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;165.517&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;620.690&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;900.000&lt;br /&gt;
         &lt;td&gt;900.000&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;150.000&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;600.000&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;