15edt: Difference between revisions

Wikispaces>mbattaglia1
**Imported revision 314392094 - Original comment: **
Wikispaces>xenwolf
**Imported revision 314408666 - Original comment: a few links added, most of them are "red" (it seems to me that the restriction to octave-normalized intervals can also be contra-productive)**
Line 1: Line 1:
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:mbattaglia1|mbattaglia1]] and made on <tt>2012-03-25 15:07:13 UTC</tt>.<br>
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2012-03-25 16:32:30 UTC</tt>.<br>
: The original revision id was <tt>314392094</tt>.<br>
: The original revision id was <tt>314408666</tt>.<br>
: The revision comment was: <tt></tt><br>
: The revision comment was: <tt>a few links added, most of them are "red" (it seems to me that the restriction to octave-normalized intervals can also be contra-productive)</tt><br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<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>
<h4>Original Wikitext content:</h4>
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|| 0 || 0 || &lt;span style="color: #660000;"&gt;[[1_1|1/1]]&lt;/span&gt; ||
|| 0 || 0 || &lt;span style="color: #660000;"&gt;[[1_1|1/1]]&lt;/span&gt; ||
|| 1 || 126.797 || [[14_13|14/13]], [[15_14|15/14]], [[16_15|16/15]], 29/27 ||
|| 1 || 126.797 || [[14_13|14/13]], [[15_14|15/14]], [[16_15|16/15]], 29/27 ||
|| 2 || 253.594 || 15/13 ||
|| 2 || 253.594 || [[15_13|15/13]] ||
|| 3 || 380.391 || &lt;span style="color: #660000;"&gt;[[5_4|5/4]]&lt;/span&gt; ||
|| 3 || 380.391 || &lt;span style="color: #660000;"&gt;[[5_4|5/4]]&lt;/span&gt; ||
|| 4 || 507.188 || [[4_3|4/3]] ||
|| 4 || 507.188 || [[4_3|4/3]] ||
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|| 8 || 1014.376 || [[9_5|9/5]] ||
|| 8 || 1014.376 || [[9_5|9/5]] ||
|| 9 || 1141.173 || &lt;span style="color: #660000;"&gt;[[27_14|27/14]]&lt;/span&gt; ||
|| 9 || 1141.173 || &lt;span style="color: #660000;"&gt;[[27_14|27/14]]&lt;/span&gt; ||
|| 10 || 1267.970 || 27/13 ||
|| 10 || 1267.970 || [[27_13|27/13]] ||
|| 11 || 1394.767 || 9/4 ([[9_8|9/8]] plus an octave) ||
|| 11 || 1394.767 || [[9_4|9/4]] ([[9_8|9/8]] plus an octave) ||
|| 12 || 1521.564 || 12/5 (&lt;span style="color: #660000;"&gt;[[6_5|6/5]]&lt;/span&gt; plus an octave) ||
|| 12 || 1521.564 || [[12_5|12/5]] (&lt;span style="color: #660000;"&gt;[[6_5|6/5]]&lt;/span&gt; plus an octave) ||
|| 13 || 1648.361 || 13/5 ([[13_10|13/10]] plus an octave) ||
|| 13 || 1648.361 || [[13_5|13/5]] ([[13_10|13/10]] plus an octave) ||
|| 14 || 1775.158 || 14/5 ([[7_5|7/5]] plus an octave) ||
|| 14 || 1775.158 || [[14_5|14/5]] ([[7_5|7/5]] plus an octave) ||
|| 15 || 1901.955 || 3/1 ||
|| 15 || 1901.955 || [[3_1|3/1]] ||


15edt contains 4 intervals from [[5edt]] and 2 intervals from [[3edt]], meaning that it contains 6 redundant intervals and 8 new intervals. The new intervals introduced include good approximations to 15/14, 15/13, 4/3, 5/3 and their tritave inverses. This allows for new chord possibilities such as 1:3:4:5:9:12:13:14:15:16...
15edt contains 4 intervals from [[5edt]] and 2 intervals from [[3edt]], meaning that it contains 6 redundant intervals and 8 new intervals. The new intervals introduced include good approximations to 15/14, 15/13, 4/3, 5/3 and their tritave inverses. This allows for new chord possibilities such as 1:3:4:5:9:12:13:14:15:16...
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         &lt;td&gt;253.594&lt;br /&gt;
         &lt;td&gt;253.594&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;15/13&lt;br /&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="/15_13"&gt;15/13&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;1267.970&lt;br /&gt;
         &lt;td&gt;1267.970&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;27/13&lt;br /&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="/27_13"&gt;27/13&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;1394.767&lt;br /&gt;
         &lt;td&gt;1394.767&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;9/4 (&lt;a class="wiki_link" href="/9_8"&gt;9/8&lt;/a&gt; plus an octave)&lt;br /&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="/9_4"&gt;9/4&lt;/a&gt; (&lt;a class="wiki_link" href="/9_8"&gt;9/8&lt;/a&gt; plus an octave)&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;1521.564&lt;br /&gt;
         &lt;td&gt;1521.564&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;12/5 (&lt;span style="color: #660000;"&gt;&lt;a class="wiki_link" href="/6_5"&gt;6/5&lt;/a&gt;&lt;/span&gt; plus an octave)&lt;br /&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="/12_5"&gt;12/5&lt;/a&gt; (&lt;span style="color: #660000;"&gt;&lt;a class="wiki_link" href="/6_5"&gt;6/5&lt;/a&gt;&lt;/span&gt; plus an octave)&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;1648.361&lt;br /&gt;
         &lt;td&gt;1648.361&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;13/5 (&lt;a class="wiki_link" href="/13_10"&gt;13/10&lt;/a&gt; plus an octave)&lt;br /&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="/13_5"&gt;13/5&lt;/a&gt; (&lt;a class="wiki_link" href="/13_10"&gt;13/10&lt;/a&gt; plus an octave)&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;1775.158&lt;br /&gt;
         &lt;td&gt;1775.158&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;14/5 (&lt;a class="wiki_link" href="/7_5"&gt;7/5&lt;/a&gt; plus an octave)&lt;br /&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="/14_5"&gt;14/5&lt;/a&gt; (&lt;a class="wiki_link" href="/7_5"&gt;7/5&lt;/a&gt; plus an octave)&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;1901.955&lt;br /&gt;
         &lt;td&gt;1901.955&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;3/1&lt;br /&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="/3_1"&gt;3/1&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;