4L 3s: Difference between revisions

Line 1:

<h2>IMPORTED REVISION FROM WIKISPACES</h2>

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

: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-05-~~22 14~~:06:00 UTC</tt>.

: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-11-04 12:33:59 UTC</tt>.

: The original revision id was <tt>~~551910764~~</tt>.

: The original revision id was <tt>565163791</tt>.

: The revision comment was: <tt></tt>

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

Line 17:

|| || || 4\15 || || || || || 3 1 3 || 320.000 || 640.000 || 960.000 || 80.000 ||= L/s = 3 ||

|| || || || || || || || e 1 e || 321.6245 || 641.249 || 964.874 || 86.498 || L/s = e ||

|| || || || || 11\41 || || || 8 3 8 || 321.951 || 643.902 || 965.854 || 87.805 || ||

|| || || || || || || 29\108 || 21 8 21 || 322.222 || 644.444 || 966.667 || 88.889 || ||

|| || || || || || 18\67 || || 13 5 13 || 322.388 || 644.776 || 967.364 || 89.522 || ||

|| || || || 7\26 || || || || 5 2 5 || 323.077 || 646.154 || 969.231 || 92.308 ||= Orgone is around here ||

|| || 3\11 || || || || || || 2 1 2 || 327.273 || 654.545 || 981.818 || 109.091 ||= Boundary of propriety (generators

larger than this are proper) ||

|| || || || || || || || √3 1 √3 || 330.217 || 660.434 || 990.651 || 120.868 || ||

|| || || || 8\29 || || || || 5 3 5 || 331.034 || 662.069 || 993.013 || 124.138 ||= ||

|| || || || || || 21\76 || || 13 8 13 || 331.579 || 663.158 || 994.739 || 126.316 ||= ||

|| || || || || || || 34\123 || 21 13 21 || 331.707 || 663.415 || 995.122 || 126.829 ||= Unnamed golden temperament ||

|| || || || || 13\47 || || || 8 5 8 || 331.915 || 663.83 || 995.745 || 127.66 ||= ||

|| || || || || || || || pi 2 pi || 332.3165 || 664.633 || 996.9495 || 129.266 || ||

|| || || 5\18 || || || || || 3 2 3 || 333.333 || 666.667 || 1000.000 || 133.333 ||= Optimum rank range (L/s=3/2) ||

|| || || || 7\25 || || || || 4 3 4 || 336.000 || 672.000 || 1008.000 || 144.000 ||= ||

|| || || || || 9\32 || || || 5 4 5 || 337.5 || 675~~.000~~ || 1012.~~500~~ || 150~~.000~~ ||= Sixix ||

|| || || || || 9\32 || || || 5 4 5 || 337.5 || 675 || 1012.5 || 150 ||= Sixix ||

|| || || || || || 11\39 || || 6 5 6 || 338.462 || 676.923 || 1015.385 || 153.846 ||= Sixix ||

|| || || || || || || 13\46 || 7 6 7 || 339.130 || 678.261 || 1017.391 || 156.522 ||= (17/14)^3=9/5 ||

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</td>

<td>L/s = e

</td>

</tr>

<tr>

<td>

</td>

<td>

</td>

<td>

</td>

<td>

</td>

<td>11\41

</td>

<td>

</td>

<td>

</td>

<td>8 3 8

</td>

<td>321.951

</td>

<td>643.902

</td>

<td>965.854

</td>

<td>87.805

</td>

<td>

</td>

</tr>

<tr>

<td>

</td>

<td>

</td>

<td>

</td>

<td>

</td>

<td>

</td>

<td>

</td>

<td>29\108

</td>

<td>21 8 21

</td>

<td>322.222

</td>

<td>644.444

</td>

<td>966.667

</td>

<td>88.889

</td>

<td>

</td>

</tr>

<tr>

<td>

</td>

<td>

</td>

<td>

</td>

<td>

</td>

<td>

</td>

<td>18\67

</td>

<td>

</td>

<td>13 5 13

</td>

<td>322.388

</td>

<td>644.776

</td>

<td>967.364

</td>

<td>89.522

</td>

<td>

</td>

</tr>

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<td style="text-align: center;">Boundary of propriety (generators

larger than this are proper)

</td>

</tr>

<tr>

<td>

</td>

<td>

</td>

<td>

</td>

<td>

</td>

<td>

</td>

<td>

</td>

<td>

</td>

<td>√3 1 √3

</td>

<td>330.217

</td>

<td>660.434

</td>

<td>990.651

</td>

<td>120.868

</td>

<td>

</td>

</tr>

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</td>

</td>

</tr>

<tr>

<td>

</td>

<td>

</td>

<td>

</td>

<td>

</td>

<td>

</td>

<td>

</td>

<td>

</td>

<td>pi 2 pi

</td>

<td>332.3165

</td>

<td>664.633

</td>

<td>996.9495

</td>

<td>129.266

</td>

<td>

</td>

</tr>

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<td>337.5

</td>

<td>675~~.000~~

<td>675

</td>

<td>1012.~~500~~

<td>1012.5

</td>

<td>150~~.000~~

<td>150

</td>

<td style="text-align: center;">Sixix

@@ 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:JosephRuhf|JosephRuhf]] and made on <tt>2015-05-22 14:06:00 UTC</tt>.<br>
+: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-11-04 12:33:59 UTC</tt>.<br>
-: The original revision id was <tt>551910764</tt>.<br>
+: The original revision id was <tt>565163791</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 17: / Line 17: @@
 ||   ||   || 4\15 ||   ||   ||   ||   || 3 1 3 || 320.000 || 640.000 || 960.000 || 80.000 ||= L/s = 3 ||
 ||   ||   ||   ||   ||   ||   ||   || e 1 e || 321.6245 || 641.249 || 964.874 || 86.498 || &lt;span style="display: block; text-align: center;"&gt;L/s = e&lt;/span&gt; ||
+||   ||   ||   ||   || 11\41 ||   ||   || 8 3 8 || 321.951 || 643.902 || 965.854 || 87.805 ||   ||
+||   ||   ||   ||   ||   ||   || 29\108 || 21 8 21 || 322.222 || 644.444 || 966.667 || 88.889 ||   ||
+||   ||   ||   ||   ||   || 18\67 ||   || 13 5 13 || 322.388 || 644.776 || 967.364 || 89.522 ||   ||
 ||   ||   ||   || 7\26 ||   ||   ||   || 5 2 5 || 323.077 || 646.154 || 969.231 || 92.308 ||= Orgone is around here ||
 ||   || 3\11 ||   ||   ||   ||   ||   || 2 1 2 || 327.273 || 654.545 || 981.818 || 109.091 ||= Boundary of propriety (generators
 larger than this are proper) ||
+||   ||   ||   ||   ||   ||   ||   || &lt;span style="background-color: #ffffff;"&gt;√3 1 √3&lt;/span&gt; || 330.217 || 660.434 || 990.651 || 120.868 ||   ||
 ||   ||   ||   || 8\29 ||   ||   ||   || 5 3 5 || 331.034 || 662.069 || 993.013 || 124.138 ||=   ||
 ||   ||   ||   ||   ||   || 21\76 ||   || 13 8 13 || 331.579 || 663.158 || 994.739 || 126.316 ||=   ||
 ||   ||   ||   ||   ||   ||   || 34\123 || 21 13 21 || 331.707 || 663.415 || 995.122 || 126.829 ||= Unnamed golden temperament ||
 ||   ||   ||   ||   || 13\47 ||   ||   || 8 5 8 || 331.915 || 663.83 || 995.745 || 127.66 ||=   ||
+||   ||   ||   ||   ||   ||   ||   || pi 2 pi || 332.3165 || 664.633 || 996.9495 || 129.266 ||   ||
 ||   ||   || 5\18 ||   ||   ||   ||   || 3 2 3 || 333.333 || 666.667 || 1000.000 || 133.333 ||= Optimum rank range (L/s=3/2) ||
 ||   ||   ||   || 7\25 ||   ||   ||   || 4 3 4 || 336.000 || 672.000 || 1008.000 || 144.000 ||=   ||
-||   ||   ||   ||   || 9\32 ||   ||   || 5 4 5 || 337.5 || 675.000 || 1012.500 || 150.000 ||= Sixix ||
+||   ||   ||   ||   || 9\32 ||   ||   || 5 4 5 || 337.5 || 675 || 1012.5 || 150 ||= Sixix ||
 ||   ||   ||   ||   ||   || 11\39 ||   || 6 5 6 || 338.462 || 676.923 || 1015.385 || 153.846 ||= Sixix ||
 ||   ||   ||   ||   ||   ||   || 13\46 || 7 6 7 || 339.130 || 678.261 || 1017.391 || 156.522 ||= (17/14)^3=9/5 ||
@@ Line 302: / Line 307: @@
 &lt;/td&gt;
          &lt;td&gt;&lt;span style="display: block; text-align: center;"&gt;L/s = e&lt;/span&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;11\41&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;8 3 8&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;321.951&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;643.902&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;965.854&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;87.805&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&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&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;29\108&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;21 8 21&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;322.222&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;644.444&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;966.667&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;88.889&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&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&gt;18\67&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;13 5 13&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;322.388&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;644.776&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;967.364&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;89.522&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 359: / Line 448: @@
          &lt;td style="text-align: center;"&gt;Boundary of propriety (generators&lt;br /&gt;
 larger than this are proper)&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&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;span style="background-color: #ffffff;"&gt;√3 1 √3&lt;/span&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;330.217&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;660.434&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;990.651&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;120.868&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 471: / Line 588: @@
 &lt;/td&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&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;pi 2 pi&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;332.3165&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;664.633&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;996.9495&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;129.266&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 548: / Line 693: @@
          &lt;td&gt;337.5&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;675.000&lt;br /&gt;
+         &lt;td&gt;675&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1012.500&lt;br /&gt;
+         &lt;td&gt;1012.5&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;150.000&lt;br /&gt;
+         &lt;td&gt;150&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;Sixix&lt;br /&gt;