5L 3s: Difference between revisions

Revision as of 12:12, 7 September 2010

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author Andrew_Heathwaite and made on 2010-09-07 12:12:17 UTC.

The original revision id was 160864197.

The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

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 || 3g || 4g ||
|| 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 || 208.696 || 678.261 ||
||   ||   || 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 || 193.549 || 658.065 ||
||   || 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 || 176.471 || 635.294 ||
||   ||   || 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 || 165.517 || 620.690 ||
|| 3\8 ||   ||   ||   || 1 1 1 1 1 1 1 1 || 450.000 || 900.000 || 150.000 || 600.000 ||

Original HTML content:

<html><head><title>5L 3s</title></head><body>5L 3s refers to the structure of moment of symmetry scales with generators ranging from 2\5 (two degrees of <a class="wiki_link" href="/5edo">5edo</a> = approx. 480¢) to 3\8 (three degrees of <a class="wiki_link" href="/8edo">8edo</a> = 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:<br />
<br />


<table class="wiki_table">
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>scale<br />
</td>
        <td>g in cents<br />
</td>
        <td>2g<br />
</td>
        <td>3g<br />
</td>
        <td>4g<br />
</td>
    </tr>
    <tr>
        <td>2\5<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>1 0 1 1 0 1 0 1<br />
</td>
        <td>480.000<br />
</td>
        <td>960.000<br />
</td>
        <td>240.000<br />
</td>
        <td>720.000<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>9\23<br />
</td>
        <td>4 1 4 4 1 4 1 4<br />
</td>
        <td>469.565<br />
</td>
        <td>939.130<br />
</td>
        <td>208.696<br />
</td>
        <td>678.261<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>7\18<br />
</td>
        <td><br />
</td>
        <td>3 1 3 3 1 3 1 3<br />
</td>
        <td>466.667<br />
</td>
        <td>933.333<br />
</td>
        <td>200.000<br />
</td>
        <td>666.667<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>12\31<br />
</td>
        <td>5 2 5 5 2 5 2 5<br />
</td>
        <td>464.516<br />
</td>
        <td>929.032<br />
</td>
        <td>193.549<br />
</td>
        <td>658.065<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>5\13<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>2 1 2 2 1 2 1 2<br />
</td>
        <td>461.538<br />
</td>
        <td>923.077<br />
</td>
        <td>184.615<br />
</td>
        <td>646.154<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>13\34<br />
</td>
        <td>5 3 5 5 3 5 3 5<br />
</td>
        <td>458.824<br />
</td>
        <td>917.647<br />
</td>
        <td>176.471<br />
</td>
        <td>635.294<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>8\21<br />
</td>
        <td><br />
</td>
        <td>3 2 3 3 2 3 2 3<br />
</td>
        <td>457.143<br />
</td>
        <td>914.286<br />
</td>
        <td>171.429<br />
</td>
        <td>628.571<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>11\29<br />
</td>
        <td>4 3 4 4 3 4 3 4<br />
</td>
        <td>455.172<br />
</td>
        <td>910.345<br />
</td>
        <td>165.517<br />
</td>
        <td>620.690<br />
</td>
    </tr>
    <tr>
        <td>3\8<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>1 1 1 1 1 1 1 1<br />
</td>
        <td>450.000<br />
</td>
        <td>900.000<br />
</td>
        <td>150.000<br />
</td>
        <td>600.000<br />
</td>
    </tr>
</table>

</body></html>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 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 contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
@@ Line 8: / Line 8: @@
 <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>
 <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;
@@ Line 38: / Line 38: @@
 &lt;/td&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;/tr&gt;
@@ Line 54: / Line 58: @@
 &lt;/td&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;/tr&gt;
@@ Line 70: / Line 78: @@
 &lt;/td&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;/tr&gt;
@@ Line 86: / Line 98: @@
 &lt;/td&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;/tr&gt;
@@ Line 102: / Line 118: @@
 &lt;/td&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;/tr&gt;
@@ Line 118: / Line 138: @@
 &lt;/td&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;/tr&gt;
@@ Line 134: / Line 158: @@
 &lt;/td&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;/tr&gt;
@@ Line 150: / Line 178: @@
 &lt;/td&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;/tr&gt;
@@ Line 166: / Line 198: @@
 &lt;/td&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;/tr&gt;
@@ Line 182: / Line 218: @@
 &lt;/td&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;/tr&gt;

5L 3s: Difference between revisions

Revision as of 12:12, 7 September 2010

IMPORTED REVISION FROM WIKISPACES

Original Wikitext content:

Original HTML content:

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