21edt: Difference between revisions
Wikispaces>Kosmorsky **Imported revision 246175817 - Original comment: ** |
Wikispaces>Sarzadoce **Imported revision 246279673 - Original comment: ** |
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<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:Sarzadoce|Sarzadoce]] and made on <tt>2011-08-16 14:31:35 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>246279673</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> | ||
<h4>Original Wikitext content:</h4> | <h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html"> | <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;white-space: pre-wrap ! important" class="old-revision-html">=21 Equal Divisions of the Tritave= | ||
|| Degrees || Cents || Approximate Ratio || | |||
|| 0 || 0 || [[1_1|1/1]] || | |||
|| 1 || 90.569 || [[21_20|21/20]], [[135_128|135/128]] || | |||
|| 2 || 181.139 || [[10_9|10/9]] || | |||
|| 3 || 271.708 || [[7_6|7/6]] || | |||
|| 4 || 362.277 || [[16_13|16/13]] || | |||
|| 5 || 452.846 || [[13_10|13/10]] || | |||
|| 6 || 543.416 || [[15_11|15/11]], [[11_8|11/8]] || | |||
|| 7 || 633.985 || [[13_9|13/9]] || | |||
|| 8 || 724.554 || 35/23 || | |||
|| 9 || 815.124 || [[8_5|8/5]] || | |||
|| 10 || 905.693 || 27/16 || | |||
|| 11 || 996.262 || 16/9 || | |||
|| 12 || 1086.831 || [[15_8|15/8]] || | |||
|| 13 || 1177.401 || 69/35 || | |||
|| 14 || 1267.970 || 27/13 || | |||
|| 15 || 1358.539 || 11/5 ([[11_10|11/10]] plus an octave) || | |||
|| 16 || 1449.109 || 30/13 ([[15_13|15/13]] plus an octave) || | |||
|| 17 || 1539.678 || 39/16 || | |||
|| 18 || 1630.247 || 18/7 ([[9_7|9/7]] plus an octave) || | |||
|| 19 || 1720.816 || 27/10 || | |||
|| 20 || 1811.386 || 20/7 || | |||
|| 21 || 1901.955 || 3/1 || | |||
21edt contains 6 intervals from [[7edt]] and 2 intervals from [[3edt]], meaning that it introduces 12 new intervals not available in lower edt's. These new intervals allow for construction of strange chords like 9:10:13:16:22:27:30... | |||
21edt contains a 7L7s MOS similar to Whitewood, which I call Ivory. It has a period of 1/7 of the tritave and the generator is one step. The major scale is LsLsLsLsLsLsLs, and the minor scale is sLsLsLsLsLsLsL. | |||
21edt also contains a 4L5s MOS similar to [[BP]], with a 4:1 ratio of large to small; quite exaggerated from the optimal 2:1. Not the best approximations but all within 20 cents, it has 5th (+20c), 7th(-16c), 10th (+2c), 11th (+15c), 13th (-3c), 17th (-14c), 19th (-24 c), 23rd (+6 c), and 37th (-2c) harmonics. For a lower division of the tritave that's quite a constellation! The chord is a little out of tune but it works, you can really sink into it.</pre></div> | |||
<h4>Original HTML content:</h4> | <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"><html><head><title>21edt</title></head><body> | <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"><html><head><title>21edt</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x21 Equal Divisions of the Tritave"></a><!-- ws:end:WikiTextHeadingRule:0 -->21 Equal Divisions of the Tritave</h1> | ||
<br /> | |||
<table class="wiki_table"> | |||
<tr> | |||
<td>Degrees<br /> | |||
</td> | |||
<td>Cents<br /> | |||
</td> | |||
<td>Approximate Ratio<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>0<br /> | |||
</td> | |||
<td>0<br /> | |||
</td> | |||
<td><a class="wiki_link" href="/1_1">1/1</a><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>1<br /> | |||
</td> | |||
<td>90.569<br /> | |||
</td> | |||
<td><a class="wiki_link" href="/21_20">21/20</a>, <a class="wiki_link" href="/135_128">135/128</a><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>2<br /> | |||
</td> | |||
<td>181.139<br /> | |||
</td> | |||
<td><a class="wiki_link" href="/10_9">10/9</a><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>3<br /> | |||
</td> | |||
<td>271.708<br /> | |||
</td> | |||
<td><a class="wiki_link" href="/7_6">7/6</a><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>4<br /> | |||
</td> | |||
<td>362.277<br /> | |||
</td> | |||
<td><a class="wiki_link" href="/16_13">16/13</a><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>5<br /> | |||
</td> | |||
<td>452.846<br /> | |||
</td> | |||
<td><a class="wiki_link" href="/13_10">13/10</a><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>6<br /> | |||
</td> | |||
<td>543.416<br /> | |||
</td> | |||
<td><a class="wiki_link" href="/15_11">15/11</a>, <a class="wiki_link" href="/11_8">11/8</a><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>7<br /> | |||
</td> | |||
<td>633.985<br /> | |||
</td> | |||
<td><a class="wiki_link" href="/13_9">13/9</a><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>8<br /> | |||
</td> | |||
<td>724.554<br /> | |||
</td> | |||
<td>35/23<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>9<br /> | |||
</td> | |||
<td>815.124<br /> | |||
</td> | |||
<td><a class="wiki_link" href="/8_5">8/5</a><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>10<br /> | |||
</td> | |||
<td>905.693<br /> | |||
</td> | |||
<td>27/16<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>11<br /> | |||
</td> | |||
<td>996.262<br /> | |||
</td> | |||
<td>16/9<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>12<br /> | |||
</td> | |||
<td>1086.831<br /> | |||
</td> | |||
<td><a class="wiki_link" href="/15_8">15/8</a><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>13<br /> | |||
</td> | |||
<td>1177.401<br /> | |||
</td> | |||
<td>69/35<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>14<br /> | |||
</td> | |||
<td>1267.970<br /> | |||
</td> | |||
<td>27/13<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>15<br /> | |||
</td> | |||
<td>1358.539<br /> | |||
</td> | |||
<td>11/5 (<a class="wiki_link" href="/11_10">11/10</a> plus an octave)<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>16<br /> | |||
</td> | |||
<td>1449.109<br /> | |||
</td> | |||
<td>30/13 (<a class="wiki_link" href="/15_13">15/13</a> plus an octave)<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>17<br /> | |||
</td> | |||
<td>1539.678<br /> | |||
</td> | |||
<td>39/16<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>18<br /> | |||
</td> | |||
<td>1630.247<br /> | |||
</td> | |||
<td>18/7 (<a class="wiki_link" href="/9_7">9/7</a> plus an octave)<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>19<br /> | |||
</td> | |||
<td>1720.816<br /> | |||
</td> | |||
<td>27/10<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>20<br /> | |||
</td> | |||
<td>1811.386<br /> | |||
</td> | |||
<td>20/7<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>21<br /> | |||
</td> | |||
<td>1901.955<br /> | |||
</td> | |||
<td>3/1<br /> | |||
</td> | |||
</tr> | |||
</table> | |||
<br /> | |||
<br /> | |||
21edt contains 6 intervals from <a class="wiki_link" href="/7edt">7edt</a> and 2 intervals from <a class="wiki_link" href="/3edt">3edt</a>, meaning that it introduces 12 new intervals not available in lower edt's. These new intervals allow for construction of strange chords like 9:10:13:16:22:27:30...<br /> | |||
<br /> | |||
21edt contains a 7L7s MOS similar to Whitewood, which I call Ivory. It has a period of 1/7 of the tritave and the generator is one step. The major scale is LsLsLsLsLsLsLs, and the minor scale is sLsLsLsLsLsLsL.<br /> | |||
<br /> | |||
<br /> | |||
21edt also contains a 4L5s MOS similar to <a class="wiki_link" href="/BP">BP</a>, with a 4:1 ratio of large to small; quite exaggerated from the optimal 2:1. Not the best approximations but all within 20 cents, it has 5th (+20c), 7th(-16c), 10th (+2c), 11th (+15c), 13th (-3c), 17th (-14c), 19th (-24 c), 23rd (+6 c), and 37th (-2c) harmonics. For a lower division of the tritave that's quite a constellation! The chord is a little out of tune but it works, you can really sink into it.</body></html></pre></div> | |||