31edo Tetra 5-3-5: Difference between revisions

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**Imported revision 15052037 - Original comment: **
Wikispaces>xenjacob
**Imported revision 15052057 - 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:xenjacob|xenjacob]] and made on <tt>2008-01-19 18:33:34 UTC</tt>.<br>
: This revision was by author [[User:xenjacob|xenjacob]] and made on <tt>2008-01-19 18:34:34 UTC</tt>.<br>
: The original revision id was <tt>15052037</tt>.<br>
: The original revision id was <tt>15052057</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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|| steps in 31edo: || **0** ||  || **5** ||  || **8** ||  || **13** ||  || **18** ||  || **23** ||  || **26** ||  || **31** ||
|| steps in 31edo: || **0** ||  || **5** ||  || **8** ||  || **13** ||  || **18** ||  || **23** ||  || **26** ||  || **31** ||
|| steps difference: ||  || 5 ||  || 3 ||  || 5 ||  || 5 ||  || 5 ||  || 3 ||  || 5 ||  ||
|| steps difference: ||  || 5 ||  || 3 ||  || 5 ||  || 5 ||  || 5 ||  || 3 ||  || 5 ||  ||
|| cents: || 0 ||  || **194** ||  || **310** ||  || 503 ||  || 697 ||  || **890** ||  || **1006** ||  || **1200** ||
|| cents: || 0 ||  || **194** ||  || **310** ||  || **503** ||  || **697** ||  || **890** ||  || **1006** ||  || **1200** ||
|| cents difference: ||  || 194 ||  || 116 ||  || 194 ||  || 194 ||  || 194 ||  || 116 ||  || 194 ||  ||
|| cents difference: ||  || 194 ||  || 116 ||  || 194 ||  || 194 ||  || 194 ||  || 116 ||  || 194 ||  ||
|| interval name: || **prsu** ||  || **jato** ||  || **midi** ||  || prfo ||  || prfi ||  || **jaxa** ||  || **mivu** ||  || **prco** ||
|| interval name: || **prsu** ||  || **jato** ||  || **midi** ||  || **prfo** ||  || **prfi** ||  || **jaxa** ||  || **mivu** ||  || **prco** ||
|| interval difference: ||  || jato ||  || mito ||  || jato ||  || jato ||  || jato ||  || mito ||  || jato ||  ||
|| interval difference: ||  || jato ||  || mito ||  || jato ||  || jato ||  || jato ||  || mito ||  || jato ||  ||


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         &lt;td&gt;503&lt;br /&gt;
         &lt;td&gt;&lt;strong&gt;503&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
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         &lt;td&gt;&lt;br /&gt;
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&lt;/td&gt;
         &lt;td&gt;697&lt;br /&gt;
         &lt;td&gt;&lt;strong&gt;697&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
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         &lt;td&gt;prfo&lt;br /&gt;
         &lt;td&gt;&lt;strong&gt;prfo&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
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         &lt;td&gt;prfi&lt;br /&gt;
         &lt;td&gt;&lt;strong&gt;prfi&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;

Revision as of 18:34, 19 January 2008

IMPORTED REVISION FROM WIKISPACES

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

This revision was by author xenjacob and made on 2008-01-19 18:34:34 UTC.
The original revision id was 15052057.
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:

=31edo Tetra 5-3-5= 

This scale represents one out of 66 septatonic tetrachordal scales available in 31edo. Each tetrachord consists of x steps, followed by y steps, followed by z steps (where each step represents 1/31st of an octave, approximately 39 cents). The two tetrachords have a whole tone (5 steps: approx. 194 cents) separating them.
|| scale degree: || **1** ||   || **2** ||   || **3** ||   || **4** ||   || **5** ||   || **6** ||   || **7** ||   || **1** ||
|| steps in 31edo: || **0** ||   || **5** ||   || **8** ||   || **13** ||   || **18** ||   || **23** ||   || **26** ||   || **31** ||
|| steps difference: ||   || 5 ||   || 3 ||   || 5 ||   || 5 ||   || 5 ||   || 3 ||   || 5 ||   ||
|| cents: || 0 ||   || **194** ||   || **310** ||   || **503** ||   || **697** ||   || **890** ||   || **1006** ||   || **1200** ||
|| cents difference: ||   || 194 ||   || 116 ||   || 194 ||   || 194 ||   || 194 ||   || 116 ||   || 194 ||   ||
|| interval name: || **prsu** ||   || **jato** ||   || **midi** ||   || **prfo** ||   || **prfi** ||   || **jaxa** ||   || **mivu** ||   || **prco** ||
|| interval difference: ||   || jato ||   || mito ||   || jato ||   || jato ||   || jato ||   || mito ||   || jato ||   ||

In a circle-of-fifths paradigm, this scale coincides with the Dorian mode.

We encourage you to tune up to this & tell us what you think of it.

Original HTML content:

<html><head><title>31edo Tetra 5-3-5</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x31edo Tetra 5-3-5"></a><!-- ws:end:WikiTextHeadingRule:0 -->31edo Tetra 5-3-5</h1>
 <br />
This scale represents one out of 66 septatonic tetrachordal scales available in 31edo. Each tetrachord consists of x steps, followed by y steps, followed by z steps (where each step represents 1/31st of an octave, approximately 39 cents). The two tetrachords have a whole tone (5 steps: approx. 194 cents) separating them.<br />


<table class="wiki_table">
    <tr>
        <td>scale degree:<br />
</td>
        <td><strong>1</strong><br />
</td>
        <td><br />
</td>
        <td><strong>2</strong><br />
</td>
        <td><br />
</td>
        <td><strong>3</strong><br />
</td>
        <td><br />
</td>
        <td><strong>4</strong><br />
</td>
        <td><br />
</td>
        <td><strong>5</strong><br />
</td>
        <td><br />
</td>
        <td><strong>6</strong><br />
</td>
        <td><br />
</td>
        <td><strong>7</strong><br />
</td>
        <td><br />
</td>
        <td><strong>1</strong><br />
</td>
    </tr>
    <tr>
        <td>steps in 31edo:<br />
</td>
        <td>0<br />
</td>
        <td><br />
</td>
        <td><strong>5</strong><br />
</td>
        <td><br />
</td>
        <td><strong>8</strong><br />
</td>
        <td><br />
</td>
        <td><strong>13</strong><br />
</td>
        <td><br />
</td>
        <td><strong>18</strong><br />
</td>
        <td><br />
</td>
        <td><strong>23</strong><br />
</td>
        <td><br />
</td>
        <td><strong>26</strong><br />
</td>
        <td><br />
</td>
        <td><strong>31</strong><br />
</td>
    </tr>
    <tr>
        <td>steps difference:<br />
</td>
        <td><br />
</td>
        <td>5<br />
</td>
        <td><br />
</td>
        <td>3<br />
</td>
        <td><br />
</td>
        <td>5<br />
</td>
        <td><br />
</td>
        <td>5<br />
</td>
        <td><br />
</td>
        <td>5<br />
</td>
        <td><br />
</td>
        <td>3<br />
</td>
        <td><br />
</td>
        <td>5<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>cents:<br />
</td>
        <td>0<br />
</td>
        <td><br />
</td>
        <td><strong>194</strong><br />
</td>
        <td><br />
</td>
        <td><strong>310</strong><br />
</td>
        <td><br />
</td>
        <td><strong>503</strong><br />
</td>
        <td><br />
</td>
        <td><strong>697</strong><br />
</td>
        <td><br />
</td>
        <td><strong>890</strong><br />
</td>
        <td><br />
</td>
        <td><strong>1006</strong><br />
</td>
        <td><br />
</td>
        <td><strong>1200</strong><br />
</td>
    </tr>
    <tr>
        <td>cents difference:<br />
</td>
        <td><br />
</td>
        <td>194<br />
</td>
        <td><br />
</td>
        <td>116<br />
</td>
        <td><br />
</td>
        <td>194<br />
</td>
        <td><br />
</td>
        <td>194<br />
</td>
        <td><br />
</td>
        <td>194<br />
</td>
        <td><br />
</td>
        <td>116<br />
</td>
        <td><br />
</td>
        <td>194<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>interval name:<br />
</td>
        <td><strong>prsu</strong><br />
</td>
        <td><br />
</td>
        <td><strong>jato</strong><br />
</td>
        <td><br />
</td>
        <td><strong>midi</strong><br />
</td>
        <td><br />
</td>
        <td><strong>prfo</strong><br />
</td>
        <td><br />
</td>
        <td><strong>prfi</strong><br />
</td>
        <td><br />
</td>
        <td><strong>jaxa</strong><br />
</td>
        <td><br />
</td>
        <td><strong>mivu</strong><br />
</td>
        <td><br />
</td>
        <td><strong>prco</strong><br />
</td>
    </tr>
    <tr>
        <td>interval difference:<br />
</td>
        <td><br />
</td>
        <td>jato<br />
</td>
        <td><br />
</td>
        <td>mito<br />
</td>
        <td><br />
</td>
        <td>jato<br />
</td>
        <td><br />
</td>
        <td>jato<br />
</td>
        <td><br />
</td>
        <td>jato<br />
</td>
        <td><br />
</td>
        <td>mito<br />
</td>
        <td><br />
</td>
        <td>jato<br />
</td>
        <td><br />
</td>
    </tr>
</table>

<br />
In a circle-of-fifths paradigm, this scale coincides with the Dorian mode.<br />
<br />
We encourage you to tune up to this &amp; tell us what you think of it.</body></html>