3L 4s: Difference between revisions

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<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:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2009-11-~~06 00~~:01:44 UTC</tt>.

: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2009-11-08 22:28:05 UTC</tt>.

: The original revision id was <tt>~~100671061~~</tt>.

: The original revision id was <tt>101164205</tt>.

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

: The revision comment was: <tt>added 3g & 4g</tt>

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

<h4>Original Wikitext content:</h4>

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||||||||||~ generator || g || 2g ||

||||||||||~ generator || g || 2g || 3g || 4g (-1200) ||

|| 1\3 || || || || || 400.000 || 800.000 || ||

|| 1\3 || || || || || 400.000 || 800.000 || 1200.000 || 400.000 || ||

|| || || || || 6\19 || 378.947 || 757.895 || ||

|| || || || || 6\19 || 378.947 || 757.895 || 1136.842 || 315.789 || ||

|| || || || 5\16 || || 375.000 || 750.000 || ||

|| || || || 5\16 || || 375.000 || 750.000 || 1125.000 || 300.000 || ||

|| || || || || 9\29 || 372.414 || 744.828 || ||

|| || || || || 9\29 || 372.414 || 744.828 || 1117.241 || 289.655 || ||

|| || || 4\13 || || || 369.231 || 738.462 || ||

|| || || 4\13 || || || 369.231 || 738.462 || 1107.692 || 276.923 || ||

|| || || || || 11\36 || 366.667 || 733.333 || ||

|| || || || || 11\36 || 366.667 || 733.333 || 1100.000 || 266.667 || ||

|| || || || 7\23 || || 365.217 || 730.435 || ||

|| || || || 7\23 || || 365.217 || 730.435 || 1095.652 || 260.870 || ||

|| || || || || 10\33 || 363.636 || 727.272 || ||

|| || || || || 10\33 || 363.636 || 727.272 || 1090.909 || 254.545 || ||

|| || 3\10 || || || || 360.000 || 720.000 || ||

|| || 3\10 || || || || 360.000 || 720.000 || 1080.000 || 240.000 || ||

|| || || || || 11\37 || 356.757 || 713.514 || ||

|| || || || || 11\37 || 356.757 || 713.514 || 1080.270 || 227.027 || ||

|| || || || 8\27 || || 355.556 || 711.111 || ||

|| || || || 8\27 || || 355.556 || 711.111 || 1066.667 || 222.222 || ||

|| || || || || 13\44 || 354.545 || 709.091 || ||

|| || || || || 13\44 || 354.545 || 709.091 || 1063.636 || 218.182 || ||

|| || || 5\17 || || || 352.941 || 705.882 || ||

|| || || 5\17 || || || 352.941 || 705.882 || 1058.824 || 211.765 || ||

|| || || || || 12\41 || 351.220 || 702.439 || ||

|| || || || || 12\41 || 351.220 || 702.439 || 1053.659 || 204.878 || ||

|| || || || 7\24 || || 350.000 || 700.000 || ||

|| || || || 7\24 || || 350.000 || 700.000 || 1050.000 || 200.000 || ||

|| || || || || 9\31 || 348.387 || 696.774 || ||

|| || || || || 9\31 || 348.387 || 696.774 || 1045.161 || 193.548 || ||

|| 2\7 || || || || || 342.847 || 685.714 || ||

|| 2\7 || || || || || 342.847 || 685.714 || 1028.571 || 171.429 || ||

3\10 on this chart represents a dividing line between what I call "neutral scales" on the bottom (eg. [[17edo neutral scale]]), and something else I don't have a name for yet on the top, with [[10edo]] standing in between. MOS-wise, the neutral scales, after three more generations, make MOS [[7L 3s]] ("unfair mosh"); the other scales make MOS [[3L 7s]] ("fair mosh").

Line 47:

In "neural scale territory," the generators are all "neutral thirds," and two of them make an approximation of the "perfect fifth." Additionally, the L of the scale is somewhere around a "whole tone" and the s of the scale is somewhere around a "neutral tone".

In the as-yet unnamed northern territory, the generators are major thirds (including some very flat ones), and two generators are definitely sharp of a perfect fifth. L is a "supermajor second" and s is a "semitone" or smaller.</pre></div>

In the as-yet unnamed northern territory, the generators are major thirds (including some very flat ones), and two generators are definitely sharp of a perfect fifth. L ranges from a "supermajor second" to a "major third" and s is a "semitone" or smaller.</pre></div>

<h4>Original HTML content:</h4>

Line 76:

</td>

<td>2g

</td>

<td>3g

</td>

<td>4g (-1200)

</td>

</tr>

Line 92:

Line 96:

</td>

<td>800.000

</td>

<td>1200.000

</td>

<td>400.000

</td>

<td>

Line 110:

Line 118:

</td>

<td>757.895

</td>

<td>1136.842

</td>

<td>315.789

</td>

<td>

Line 128:

Line 140:

</td>

<td>750.000

</td>

<td>1125.000

</td>

<td>300.000

</td>

<td>

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Line 162:

</td>

<td>744.828

</td>

<td>1117.241

</td>

<td>289.655

</td>

<td>

Line 164:

Line 184:

</td>

<td>738.462

</td>

<td>1107.692

</td>

<td>276.923

</td>

<td>

Line 182:

Line 206:

</td>

<td>733.333

</td>

<td>1100.000

</td>

<td>266.667

</td>

<td>

Line 200:

Line 228:

</td>

<td>730.435

</td>

<td>1095.652

</td>

<td>260.870

</td>

<td>

Line 218:

Line 250:

</td>

<td>727.272

</td>

<td>1090.909

</td>

<td>254.545

</td>

<td>

Line 236:

Line 272:

</td>

<td>720.000

</td>

<td>1080.000

</td>

<td>240.000

</td>

<td>

Line 254:

Line 294:

</td>

<td>713.514

</td>

<td>1080.270

</td>

<td>227.027

</td>

<td>

Line 272:

Line 316:

</td>

<td>711.111

</td>

<td>1066.667

</td>

<td>222.222

</td>

<td>

Line 290:

Line 338:

</td>

<td>709.091

</td>

<td>1063.636

</td>

<td>218.182

</td>

<td>

Line 308:

Line 360:

</td>

<td>705.882

</td>

<td>1058.824

</td>

<td>211.765

</td>

<td>

Line 326:

Line 382:

</td>

<td>702.439

</td>

<td>1053.659

</td>

<td>204.878

</td>

<td>

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Line 404:

</td>

<td>700.000

</td>

<td>1050.000

</td>

<td>200.000

</td>

<td>

Line 362:

Line 426:

</td>

<td>696.774

</td>

<td>1045.161

</td>

<td>193.548

</td>

<td>

Line 380:

Line 448:

</td>

<td>685.714

</td>

<td>1028.571

</td>

<td>171.429

</td>

<td>

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In &quot;neural scale territory,&quot; the generators are all &quot;neutral thirds,&quot; and two of them make an approximation of the &quot;perfect fifth.&quot; Additionally, the L of the scale is somewhere around a &quot;whole tone&quot; and the s of the scale is somewhere around a &quot;neutral tone&quot;.

In the as-yet unnamed northern territory, the generators are major thirds (including some very flat ones), and two generators are definitely sharp of a perfect fifth. L is a &quot;supermajor second&quot; and s is a &quot;semitone&quot; or smaller.</body></html></pre></div>

In the as-yet unnamed northern territory, the generators are major thirds (including some very flat ones), and two generators are definitely sharp of a perfect fifth. L ranges from a &quot;supermajor second&quot; to a &quot;major third&quot; and s is a &quot;semitone&quot; or smaller.</body></html></pre></div>

@@ 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>2009-11-06 00:01:44 UTC</tt>.<br>
+: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2009-11-08 22:28:05 UTC</tt>.<br>
-: The original revision id was <tt>100671061</tt>.<br>
+: The original revision id was <tt>101164205</tt>.<br>
-: The revision comment was: <tt></tt><br>
+: The revision comment was: <tt>added 3g & 4g</tt><br>
 The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
 <h4>Original Wikitext content:</h4>
@@ Line 24: / Line 24: @@
 &lt;span style="-webkit-border-horizontal-spacing: 2px; -webkit-border-vertical-spacing: 2px; border-collapse: collapse;"&gt;
 &lt;/span&gt;
-||||||||||~ generator || g || 2g ||
+||||||||||~ generator || g || 2g || 3g || 4g (-1200) ||
-|| 1\3 ||   ||   ||   ||   || 400.000 || 800.000 ||   ||
+|| 1\3 ||   ||   ||   ||   || 400.000 || 800.000 || 1200.000 || 400.000 ||   ||
-||   ||   ||   ||   || 6\19 || 378.947 || 757.895 ||   ||
+||   ||   ||   ||   || 6\19 || 378.947 || 757.895 || 1136.842 || 315.789 ||   ||
-||   ||   ||   || 5\16 ||   || 375.000 || 750.000 ||   ||
+||   ||   ||   || 5\16 ||   || 375.000 || 750.000 || 1125.000 || 300.000 ||   ||
-||   ||   ||   ||   || 9\29 || 372.414 || 744.828 ||   ||
+||   ||   ||   ||   || 9\29 || 372.414 || 744.828 || 1117.241 || 289.655 ||   ||
-||   ||   || 4\13 ||   ||   || 369.231 || 738.462 ||   ||
+||   ||   || 4\13 ||   ||   || 369.231 || 738.462 || 1107.692 || 276.923 ||   ||
-||   ||   ||   ||   || 11\36 || 366.667 || 733.333 ||   ||
+||   ||   ||   ||   || 11\36 || 366.667 || 733.333 || 1100.000 || 266.667 ||   ||
-||   ||   ||   || 7\23 ||   || 365.217 || 730.435 ||   ||
+||   ||   ||   || 7\23 ||   || 365.217 || 730.435 || 1095.652 || 260.870 ||   ||
-||   ||   ||   ||   || 10\33 || 363.636 || 727.272 ||   ||
+||   ||   ||   ||   || 10\33 || 363.636 || 727.272 || 1090.909 || 254.545 ||   ||
-||   || 3\10 ||   ||   ||   || 360.000 || 720.000 ||   ||
+||   || 3\10 ||   ||   ||   || 360.000 || 720.000 || 1080.000 || 240.000 ||   ||
-||   ||   ||   ||   || 11\37 || 356.757 || 713.514 ||   ||
+||   ||   ||   ||   || 11\37 || 356.757 || 713.514 || 1080.270 || 227.027 ||   ||
-||   ||   ||   || 8\27 ||   || 355.556 || 711.111 ||   ||
+||   ||   ||   || 8\27 ||   || 355.556 || 711.111 || 1066.667 || 222.222 ||   ||
-||   ||   ||   ||   || 13\44 || 354.545 || 709.091 ||   ||
+||   ||   ||   ||   || 13\44 || 354.545 || 709.091 || 1063.636 || 218.182 ||   ||
-||   ||   || 5\17 ||   ||   || 352.941 || 705.882 ||   ||
+||   ||   || 5\17 ||   ||   || 352.941 || 705.882 || 1058.824 || 211.765 ||   ||
-||   ||   ||   ||   || 12\41 || 351.220 || 702.439 ||   ||
+||   ||   ||   ||   || 12\41 || 351.220 || 702.439 || 1053.659 || 204.878 ||   ||
-||   ||   ||   || 7\24 ||   || 350.000 || 700.000 ||   ||
+||   ||   ||   || 7\24 ||   || 350.000 || 700.000 || 1050.000 || 200.000 ||   ||
-||   ||   ||   ||   || 9\31 || 348.387 || 696.774 ||   ||
+||   ||   ||   ||   || 9\31 || 348.387 || 696.774 || 1045.161 || 193.548 ||   ||
-|| 2\7 ||   ||   ||   ||   || 342.847 || 685.714 ||   ||
+|| 2\7 ||   ||   ||   ||   || 342.847 || 685.714 || 1028.571 || 171.429 ||   ||
 \10 on this chart represents a dividing line between what I call "neutral scales" on the bottom (eg. [[17edo neutral scale]]), and something else I don't have a name for yet on the top, with [[10edo]] standing in between. MOS-wise, the neutral scales, after three more generations, make MOS [[7L 3s]] ("unfair mosh"); the other scales make MOS [[3L 7s]] ("fair mosh").
@@ Line 47: / Line 47: @@
 In "neural scale territory," the generators are all "neutral thirds," and two of them make an approximation of the "perfect fifth." Additionally, the L of the scale is somewhere around a "whole tone" and the s of the scale is somewhere around a "neutral tone".
-In the as-yet unnamed northern territory, the generators are major thirds (including some very flat ones), and two generators are definitely sharp of a perfect fifth. L is a "supermajor second" and s is a "semitone" or smaller.</pre></div>
+In the as-yet unnamed northern territory, the generators are major thirds (including some very flat ones), and two generators are definitely sharp of a perfect fifth. L ranges from a "supermajor second" to a "major third" and s is a "semitone" or smaller.</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;3L 4s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="x3L 4s - &amp;quot;mosh&amp;quot;"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;3L 4s - &amp;quot;mosh&amp;quot;&lt;/h1&gt;
@@ Line 76: / Line 76: @@
 &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 (-1200)&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 92: / Line 96: @@
 &lt;/td&gt;
          &lt;td&gt;800.000&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;1200.000&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;400.000&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 110: / Line 118: @@
 &lt;/td&gt;
          &lt;td&gt;757.895&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;1136.842&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;315.789&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 128: / Line 140: @@
 &lt;/td&gt;
          &lt;td&gt;750.000&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;1125.000&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;300.000&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 146: / Line 162: @@
 &lt;/td&gt;
          &lt;td&gt;744.828&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;1117.241&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;289.655&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 164: / Line 184: @@
 &lt;/td&gt;
          &lt;td&gt;738.462&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;1107.692&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;276.923&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 182: / Line 206: @@
 &lt;/td&gt;
          &lt;td&gt;733.333&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;1100.000&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;266.667&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 200: / Line 228: @@
 &lt;/td&gt;
          &lt;td&gt;730.435&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;1095.652&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;260.870&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 218: / Line 250: @@
 &lt;/td&gt;
          &lt;td&gt;727.272&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;1090.909&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;254.545&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 236: / Line 272: @@
 &lt;/td&gt;
          &lt;td&gt;720.000&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;1080.000&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;240.000&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 254: / Line 294: @@
 &lt;/td&gt;
          &lt;td&gt;713.514&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;1080.270&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;227.027&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 272: / Line 316: @@
 &lt;/td&gt;
          &lt;td&gt;711.111&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;1066.667&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;222.222&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 290: / Line 338: @@
 &lt;/td&gt;
          &lt;td&gt;709.091&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;1063.636&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;218.182&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 308: / Line 360: @@
 &lt;/td&gt;
          &lt;td&gt;705.882&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;1058.824&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;211.765&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 326: / Line 382: @@
 &lt;/td&gt;
          &lt;td&gt;702.439&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;1053.659&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;204.878&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 344: / Line 404: @@
 &lt;/td&gt;
          &lt;td&gt;700.000&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;1050.000&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;200.000&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 362: / Line 426: @@
 &lt;/td&gt;
          &lt;td&gt;696.774&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;1045.161&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;193.548&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 380: / Line 448: @@
 &lt;/td&gt;
          &lt;td&gt;685.714&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;1028.571&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;171.429&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 391: / Line 463: @@
 In &amp;quot;neural scale territory,&amp;quot; the generators are all &amp;quot;neutral thirds,&amp;quot; and two of them make an approximation of the &amp;quot;perfect fifth.&amp;quot; Additionally, the L of the scale is somewhere around a &amp;quot;whole tone&amp;quot; and the s of the scale is somewhere around a &amp;quot;neutral tone&amp;quot;.&lt;br /&gt;
 &lt;br /&gt;
-In the as-yet unnamed northern territory, the generators are major thirds (including some very flat ones), and two generators are definitely sharp of a perfect fifth. L is a &amp;quot;supermajor second&amp;quot; and s is a &amp;quot;semitone&amp;quot; or smaller.&lt;/body&gt;&lt;/html&gt;</pre></div>
+In the as-yet unnamed northern territory, the generators are major thirds (including some very flat ones), and two generators are definitely sharp of a perfect fifth. L ranges from a &amp;quot;supermajor second&amp;quot; to a &amp;quot;major third&amp;quot; and s is a &amp;quot;semitone&amp;quot; or smaller.&lt;/body&gt;&lt;/html&gt;</pre></div>