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-~~08 22~~:28:05 UTC</tt>.

: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2009-11-29 13:14:52 UTC</tt>.

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

: The original revision id was <tt>105851379</tt>.

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

<h4>Original Wikitext content:</h4>

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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:

It has the form s L s L s L s and its various "modes" (with nicknames coined by me ([[user:Andrew_Heathwaite|1259518492]])) are:

|| s L s L s L s || bish ||

|| L s L s L s s || dril ||

|| s L s L s s L || fish ||

|| L s L s s L s || gil ||

|| s L s s L s L || jwl ||

|| L s s L s L s || kleeth ||

|| s s L s L s L || led ||

~~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.

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

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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.

It has the form s L s L s L s and its various &quot;modes&quot; are:

It has the form s L s L s L s and its various &quot;modes&quot; (with nicknames coined by me (- <a class="userLink" href="http://www.wikispaces.com/user/view/Andrew_Heathwaite" style="outline: none;"><img src="http://www.wikispaces.com/user/pic/Andrew_Heathwaite-lg.jpg" width="16" height="16" alt="Andrew_Heathwaite" class="userPicture" /></a> <a class="userLink" href="http://www.wikispaces.com/user/view/Andrew_Heathwaite" style="outline: none;">Andrew_Heathwaite</a> Nov 29, 2009)) are:

<tr>

<td>s L s L s L s

</td>

<td>bish

</td>

</tr>

<tr>

<td>L s L s L s s

</td>

<td>dril

</td>

</tr>

<tr>

<td>s L s L s s L

</td>

<td>fish

</td>

</tr>

<tr>

<td>L s L s s L s

</td>

<td>gil

</td>

</tr>

<tr>

<td>s L s s L s L

</td>

<td>jwl

</td>

</tr>

<tr>

<td>L s s L s L s

</td>

<td>kleeth

</td>

</tr>

<tr>

<td>s s L s L s L

</td>

<td>led

</td>

</tr>

</table>

~~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 &quot;freshman sums,&quot; adding together the numerators, then adding together the denominators.

@@ 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>2009-11-08 22:28:05 UTC</tt>.<br>
+: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2009-11-29 13:14:52 UTC</tt>.<br>
-: The original revision id was <tt>101164205</tt>.<br>
+: The original revision id was <tt>105851379</tt>.<br>
-: The revision comment was: <tt>added 3g & 4g</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>
 <h4>Original Wikitext content:</h4>
@@ Line 10: / Line 10: @@
 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:
+It has the form s L s L s L s and its various "modes" (with nicknames coined by me ([[user:Andrew_Heathwaite|1259518492]])) are:
+|| s L s L s L s || bish ||
+|| L s L s L s s || dril ||
+|| s L s L s s L || fish ||
+|| L s L s s L s || gil ||
+|| s L s s L s L || jwl ||
+|| L s s L s L s || kleeth ||
+|| s s L s L s L || led ||
-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.
-&lt;span style="-webkit-border-horizontal-spacing: 2px; -webkit-border-vertical-spacing: 2px; border-collapse: collapse;"&gt;
+&lt;span style="border-collapse: collapse;"&gt;
 &lt;/span&gt;
 ||||||||||~ generator || g || 2g || 3g || 4g (-1200) ||
@@ Line 53: / Line 54: @@
 MOS scales of this form are built from a generator that falls between 1\3 (one degree of &lt;a class="wiki_link" href="/3edo"&gt;3edo&lt;/a&gt; - 400 cents) and 2\7 (two degrees of &lt;a class="wiki_link" href="/7edo"&gt;7edo&lt;/a&gt; - 343 cents.&lt;br /&gt;
 &lt;br /&gt;
-It has the form s L s L s L s and its various &amp;quot;modes&amp;quot; are:&lt;br /&gt;
+It has the form s L s L s L s and its various &amp;quot;modes&amp;quot; (with nicknames coined by me (&lt;!-- ws:start:WikiTextUserlinkRule:00:[[user:Andrew_Heathwaite|1259518492]] --&gt;&lt;span class="membersnap"&gt;- &lt;a class="userLink" href="http://www.wikispaces.com/user/view/Andrew_Heathwaite" style="outline: none;"&gt;&lt;img src="http://www.wikispaces.com/user/pic/Andrew_Heathwaite-lg.jpg" width="16" height="16" alt="Andrew_Heathwaite" class="userPicture" /&gt;&lt;/a&gt; &lt;a class="userLink" href="http://www.wikispaces.com/user/view/Andrew_Heathwaite" style="outline: none;"&gt;Andrew_Heathwaite&lt;/a&gt; &lt;small&gt;Nov 29, 2009&lt;/small&gt;&lt;/span&gt;&lt;!-- ws:end:WikiTextUserlinkRule:00 --&gt;)) are:&lt;br /&gt;
+&lt;br /&gt;
+&lt;table class="wiki_table"&gt;
+    &lt;tr&gt;
+        &lt;td&gt;s L s L s L s&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;bish&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;L s L s L s s&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;dril&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;s L s L s s L&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;fish&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;L s L s s L s&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;gil&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;s L s s L s L&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;jwl&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;L s s L s L s&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;kleeth&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;s s L s L s L&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;led&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+&lt;/table&gt;
 &lt;br /&gt;
-s L s L s L s&lt;br /&gt;
-L s L s L s s&lt;br /&gt;
-s L s L s s L&lt;br /&gt;
-L s L s s L s&lt;br /&gt;
-s L s s L s L&lt;br /&gt;
-L s s L s L s&lt;br /&gt;
-s s L s L s L&lt;br /&gt;
 &lt;br /&gt;
 One can build a continuum of equal-tempered scales between 1\3 and 2\7 by taking &amp;quot;freshman sums,&amp;quot; adding together the numerators, then adding together the denominators.&lt;br /&gt;
 &lt;br /&gt;
-&lt;span style="-webkit-border-horizontal-spacing: 2px; -webkit-border-vertical-spacing: 2px; border-collapse: collapse;"&gt;&lt;br /&gt;
+&lt;span style="border-collapse: collapse;"&gt;&lt;br /&gt;
 &lt;/span&gt;&lt;br /&gt;