3L 4s: Difference between revisions

Revision as of 22:28, 8 November 2009

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 2009-11-08 22:28:05 UTC.

The original revision id was 101164205.

The revision comment was: added 3g & 4g

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

Original Wikitext content:

=3L 4s - "mosh"= 

MOS scales of this form are built from a generator that falls between 1\3 (one degree of [[3edo]] - 400 cents) and 2\7 (two degrees of [[7edo]] - 343 cents.

It has the form s L s L s L s and its various "modes" are:

s L s L s L s
L s L s L s s
s L s L s s L
L s L s s L s
s L s s L s L
L s s L s L s
s s L s L s L

One can build a continuum of equal-tempered scales between 1\3 and 2\7 by taking "freshman sums," adding together the numerators, then adding together the denominators.

<span style="-webkit-border-horizontal-spacing: 2px; -webkit-border-vertical-spacing: 2px; border-collapse: collapse;">
</span>
||||||||||~ generator || g || 2g || 3g || 4g (-1200) ||
|| 1\3 ||   ||   ||   ||   || 400.000 || 800.000 || 1200.000 || 400.000 ||   ||
||   ||   ||   ||   || 6\19 || 378.947 || 757.895 || 1136.842 || 315.789 ||   ||
||   ||   ||   || 5\16 ||   || 375.000 || 750.000 || 1125.000 || 300.000 ||   ||
||   ||   ||   ||   || 9\29 || 372.414 || 744.828 || 1117.241 || 289.655 ||   ||
||   ||   || 4\13 ||   ||   || 369.231 || 738.462 || 1107.692 || 276.923 ||   ||
||   ||   ||   ||   || 11\36 || 366.667 || 733.333 || 1100.000 || 266.667 ||   ||
||   ||   ||   || 7\23 ||   || 365.217 || 730.435 || 1095.652 || 260.870 ||   ||
||   ||   ||   ||   || 10\33 || 363.636 || 727.272 || 1090.909 || 254.545 ||   ||
||   || 3\10 ||   ||   ||   || 360.000 || 720.000 || 1080.000 || 240.000 ||   ||
||   ||   ||   ||   || 11\37 || 356.757 || 713.514 || 1080.270 || 227.027 ||   ||
||   ||   ||   || 8\27 ||   || 355.556 || 711.111 || 1066.667 || 222.222 ||   ||
||   ||   ||   ||   || 13\44 || 354.545 || 709.091 || 1063.636 || 218.182 ||   ||
||   ||   || 5\17 ||   ||   || 352.941 || 705.882 || 1058.824 || 211.765 ||   ||
||   ||   ||   ||   || 12\41 || 351.220 || 702.439 || 1053.659 || 204.878 ||   ||
||   ||   ||   || 7\24 ||   || 350.000 || 700.000 || 1050.000 || 200.000 ||   ||
||   ||   ||   ||   || 9\31 || 348.387 || 696.774 || 1045.161 || 193.548 ||   ||
|| 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").

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 ranges from a "supermajor second" to a "major third" and s is a "semitone" or smaller.

Original HTML content:

<html><head><title>3L 4s</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x3L 4s - &quot;mosh&quot;"></a><!-- ws:end:WikiTextHeadingRule:0 -->3L 4s - &quot;mosh&quot;</h1>
 <br />
MOS scales of this form are built from a generator that falls between 1\3 (one degree of <a class="wiki_link" href="/3edo">3edo</a> - 400 cents) and 2\7 (two degrees of <a class="wiki_link" href="/7edo">7edo</a> - 343 cents.<br />
<br />
It has the form s L s L s L s and its various &quot;modes&quot; are:<br />
<br />
s L s L s L s<br />
L s L s L s s<br />
s L s L s s L<br />
L s L s s L s<br />
s L s s L s L<br />
L s s L s L s<br />
s s L s L s L<br />
<br />
One can build a continuum of equal-tempered scales between 1\3 and 2\7 by taking &quot;freshman sums,&quot; adding together the numerators, then adding together the denominators.<br />
<br />
<span style="-webkit-border-horizontal-spacing: 2px; -webkit-border-vertical-spacing: 2px; border-collapse: collapse;"><br />
</span><br />


<table class="wiki_table">
    <tr>
        <th colspan="5">generator<br />
</th>
        <td>g<br />
</td>
        <td>2g<br />
</td>
        <td>3g<br />
</td>
        <td>4g (-1200)<br />
</td>
    </tr>
    <tr>
        <td>1\3<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>400.000<br />
</td>
        <td>800.000<br />
</td>
        <td>1200.000<br />
</td>
        <td>400.000<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>6\19<br />
</td>
        <td>378.947<br />
</td>
        <td>757.895<br />
</td>
        <td>1136.842<br />
</td>
        <td>315.789<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>5\16<br />
</td>
        <td><br />
</td>
        <td>375.000<br />
</td>
        <td>750.000<br />
</td>
        <td>1125.000<br />
</td>
        <td>300.000<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>9\29<br />
</td>
        <td>372.414<br />
</td>
        <td>744.828<br />
</td>
        <td>1117.241<br />
</td>
        <td>289.655<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>4\13<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>369.231<br />
</td>
        <td>738.462<br />
</td>
        <td>1107.692<br />
</td>
        <td>276.923<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>11\36<br />
</td>
        <td>366.667<br />
</td>
        <td>733.333<br />
</td>
        <td>1100.000<br />
</td>
        <td>266.667<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>7\23<br />
</td>
        <td><br />
</td>
        <td>365.217<br />
</td>
        <td>730.435<br />
</td>
        <td>1095.652<br />
</td>
        <td>260.870<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>10\33<br />
</td>
        <td>363.636<br />
</td>
        <td>727.272<br />
</td>
        <td>1090.909<br />
</td>
        <td>254.545<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>3\10<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>360.000<br />
</td>
        <td>720.000<br />
</td>
        <td>1080.000<br />
</td>
        <td>240.000<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>11\37<br />
</td>
        <td>356.757<br />
</td>
        <td>713.514<br />
</td>
        <td>1080.270<br />
</td>
        <td>227.027<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>8\27<br />
</td>
        <td><br />
</td>
        <td>355.556<br />
</td>
        <td>711.111<br />
</td>
        <td>1066.667<br />
</td>
        <td>222.222<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>13\44<br />
</td>
        <td>354.545<br />
</td>
        <td>709.091<br />
</td>
        <td>1063.636<br />
</td>
        <td>218.182<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>5\17<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>352.941<br />
</td>
        <td>705.882<br />
</td>
        <td>1058.824<br />
</td>
        <td>211.765<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>12\41<br />
</td>
        <td>351.220<br />
</td>
        <td>702.439<br />
</td>
        <td>1053.659<br />
</td>
        <td>204.878<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>7\24<br />
</td>
        <td><br />
</td>
        <td>350.000<br />
</td>
        <td>700.000<br />
</td>
        <td>1050.000<br />
</td>
        <td>200.000<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>9\31<br />
</td>
        <td>348.387<br />
</td>
        <td>696.774<br />
</td>
        <td>1045.161<br />
</td>
        <td>193.548<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>2\7<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>342.847<br />
</td>
        <td>685.714<br />
</td>
        <td>1028.571<br />
</td>
        <td>171.429<br />
</td>
        <td><br />
</td>
    </tr>
</table>

<br />
3\10 on this chart represents a dividing line between what I call &quot;neutral scales&quot; on the bottom (eg. <a class="wiki_link" href="/17edo%20neutral%20scale">17edo neutral scale</a>), and something else I don't have a name for yet on the top, with <a class="wiki_link" href="/10edo">10edo</a> standing in between. MOS-wise, the neutral scales, after three more generations, make MOS <a class="wiki_link" href="/7L%203s">7L 3s</a> (&quot;unfair mosh&quot;); the other scales make MOS <a class="wiki_link" href="/3L%207s">3L 7s</a> (&quot;fair mosh&quot;).<br />
<br />
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;.<br />
<br />
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>

@@ 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;
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          &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;
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          &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;
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          &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;
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          &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;
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          &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>

3L 4s: Difference between revisions

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