15edt: Difference between revisions
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Wikispaces>Sarzadoce **Imported revision 246279973 - Original comment: ** |
Wikispaces>Kosmorsky **Imported revision 247415219 - Original comment: ** |
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| 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: | : This revision was by author [[User:Kosmorsky|Kosmorsky]] and made on <tt>2011-08-21 14:16:50 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>247415219</tt>.<br> | ||
: The revision comment was: <tt></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> | The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | ||
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|| Degrees || Cents || Approximate Ratios || | || Degrees || Cents || Approximate Ratios || | ||
|| 0 || 0 || <span style="color: #660000;">[[1_1|1/1]]</span> || | || 0 || 0 || <span style="color: #660000;">[[1_1|1/1]]</span> || | ||
|| 1 || 126.797 || [[14_13|14/13]], [[15_14|15/14]], [[16_15|16/15]] || | || 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 || | ||
|| 3 || 380.391 || <span style="color: #660000;">[[5_4|5/4]]</span> || | || 3 || 380.391 || <span style="color: #660000;">[[5_4|5/4]]</span> || | ||
| Line 17: | Line 17: | ||
|| 6 || 760.782 || <span style="color: #660000;">[[14_9|14/9]]</span> || | || 6 || 760.782 || <span style="color: #660000;">[[14_9|14/9]]</span> || | ||
|| 7 || 887.579 || [[5_3|5/3]] || | || 7 || 887.579 || [[5_3|5/3]] || | ||
|| 8 || 1014.376 || [[9_5|9/5]] || | || 8 || 1014.376 || [[9_5|9/5]], 17/9 || | ||
|| 9 || 1141.173 || <span style="color: #660000;">[[27_14|27/14]]</span> || | || 9 || 1141.173 || <span style="color: #660000;">[[27_14|27/14]]</span> || | ||
|| 10 || 1267.970 || 27/13 || | || 10 || 1267.970 || 27/13 || | ||
| Line 56: | Line 56: | ||
<td>126.797<br /> | <td>126.797<br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/14_13">14/13</a>, <a class="wiki_link" href="/15_14">15/14</a>, <a class="wiki_link" href="/16_15">16/15</a><br /> | <td><a class="wiki_link" href="/14_13">14/13</a>, <a class="wiki_link" href="/15_14">15/14</a>, <a class="wiki_link" href="/16_15">16/15</a>, 29/27<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 112: | Line 112: | ||
<td>1014.376<br /> | <td>1014.376<br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/9_5">9/5</a><br /> | <td><a class="wiki_link" href="/9_5">9/5</a>, 17/9<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Revision as of 14:16, 21 August 2011
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author Kosmorsky and made on 2011-08-21 14:16:50 UTC.
- The original revision id was 247415219.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
=<span style="-webkit-border-horizontal-spacing: 2px; -webkit-border-vertical-spacing: 2px; border-collapse: collapse; line-height: normal;">15 Equal Divisions of the Tritave</span>= || Degrees || Cents || Approximate Ratios || || 0 || 0 || <span style="color: #660000;">[[1_1|1/1]]</span> || || 1 || 126.797 || [[14_13|14/13]], [[15_14|15/14]], [[16_15|16/15]], 29/27 || || 2 || 253.594 || 15/13 || || 3 || 380.391 || <span style="color: #660000;">[[5_4|5/4]]</span> || || 4 || 507.188 || [[4_3|4/3]] || || 5 || 633.985 || [[13_9|13/9]] || || 6 || 760.782 || <span style="color: #660000;">[[14_9|14/9]]</span> || || 7 || 887.579 || [[5_3|5/3]] || || 8 || 1014.376 || [[9_5|9/5]], 17/9 || || 9 || 1141.173 || <span style="color: #660000;">[[27_14|27/14]]</span> || || 10 || 1267.970 || 27/13 || || 11 || 1394.767 || 9/4 ([[9_8|9/8]] plus an octave) || || 12 || 1521.564 || 12/5 (<span style="color: #660000;">[[6_5|6/5]]</span> plus an octave) || || 13 || 1648.361 || 13/5 ([[13_10|13/10]] plus an octave) || || 14 || 1775.158 || 14/5 ([[7_5|7/5]] plus an octave) || || 15 || 1901.955 || 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 also contains a 5L5s MOS similar to Blackwood Decatonic, which I call Ebony. This MOS has a period of 1/5 of the tritave and the generator is a single step. The major scale is sLsLsLsLsL, and the minor scale is LsLsLsLsLs.
Original HTML content:
<html><head><title>15edt</title></head><body><!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="x15 Equal Divisions of the Tritave"></a><!-- ws:end:WikiTextHeadingRule:0 --><span style="-webkit-border-horizontal-spacing: 2px; -webkit-border-vertical-spacing: 2px; border-collapse: collapse; line-height: normal;">15 Equal Divisions of the Tritave</span></h1>
<br />
<table class="wiki_table">
<tr>
<td>Degrees<br />
</td>
<td>Cents<br />
</td>
<td>Approximate Ratios<br />
</td>
</tr>
<tr>
<td>0<br />
</td>
<td>0<br />
</td>
<td><span style="color: #660000;"><a class="wiki_link" href="/1_1">1/1</a></span><br />
</td>
</tr>
<tr>
<td>1<br />
</td>
<td>126.797<br />
</td>
<td><a class="wiki_link" href="/14_13">14/13</a>, <a class="wiki_link" href="/15_14">15/14</a>, <a class="wiki_link" href="/16_15">16/15</a>, 29/27<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td>253.594<br />
</td>
<td>15/13<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td>380.391<br />
</td>
<td><span style="color: #660000;"><a class="wiki_link" href="/5_4">5/4</a></span><br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td>507.188<br />
</td>
<td><a class="wiki_link" href="/4_3">4/3</a><br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td>633.985<br />
</td>
<td><a class="wiki_link" href="/13_9">13/9</a><br />
</td>
</tr>
<tr>
<td>6<br />
</td>
<td>760.782<br />
</td>
<td><span style="color: #660000;"><a class="wiki_link" href="/14_9">14/9</a></span><br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td>887.579<br />
</td>
<td><a class="wiki_link" href="/5_3">5/3</a><br />
</td>
</tr>
<tr>
<td>8<br />
</td>
<td>1014.376<br />
</td>
<td><a class="wiki_link" href="/9_5">9/5</a>, 17/9<br />
</td>
</tr>
<tr>
<td>9<br />
</td>
<td>1141.173<br />
</td>
<td><span style="color: #660000;"><a class="wiki_link" href="/27_14">27/14</a></span><br />
</td>
</tr>
<tr>
<td>10<br />
</td>
<td>1267.970<br />
</td>
<td>27/13<br />
</td>
</tr>
<tr>
<td>11<br />
</td>
<td>1394.767<br />
</td>
<td>9/4 (<a class="wiki_link" href="/9_8">9/8</a> plus an octave)<br />
</td>
</tr>
<tr>
<td>12<br />
</td>
<td>1521.564<br />
</td>
<td>12/5 (<span style="color: #660000;"><a class="wiki_link" href="/6_5">6/5</a></span> plus an octave)<br />
</td>
</tr>
<tr>
<td>13<br />
</td>
<td>1648.361<br />
</td>
<td>13/5 (<a class="wiki_link" href="/13_10">13/10</a> plus an octave)<br />
</td>
</tr>
<tr>
<td>14<br />
</td>
<td>1775.158<br />
</td>
<td>14/5 (<a class="wiki_link" href="/7_5">7/5</a> plus an octave)<br />
</td>
</tr>
<tr>
<td>15<br />
</td>
<td>1901.955<br />
</td>
<td>3/1<br />
</td>
</tr>
</table>
<br />
15edt contains 4 intervals from <a class="wiki_link" href="/5edt">5edt</a> and 2 intervals from <a class="wiki_link" href="/3edt">3edt</a>, 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...<br />
<br />
15edt also contains a 5L5s MOS similar to Blackwood Decatonic, which I call Ebony. This MOS has a period of 1/5 of the tritave and the generator is a single step. The major scale is sLsLsLsLsL, and the minor scale is LsLsLsLsLs.</body></html>