15edt

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Revision as of 13:58, 16 August 2011 by Wikispaces>Sarzadoce (**Imported revision 246273557 - Original comment: **)
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IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author Sarzadoce and made on 2011-08-16 13:58:18 UTC.
The original revision id was 246273557.
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]] ||
|| 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]] ||
|| 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 3:4:5:9 and 5:9:12:13:14:15.

15edt also contains a 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:&lt;h1&gt; --><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><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><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 3:4:5:9 and 5:9:12:13:14:15.<br />
<br />
15edt also contains a 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>
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