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

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This scale represents one out of 66 septatonic tetrachordal scales available in 31edo. Each tetrachord consists of 5 steps, followed by 5 steps, followed by 3 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.
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 18:23:34 UTC</tt>.<br>
: The original revision id was <tt>15051821</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>
<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">=31edo Tetra 5-5-3=


This scale represents one out of 66 septatonic tetrachordal scales available in 31edo. Each tetrachord consists of 5 steps, followed by 5 steps, followed by 3 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.
{| class="wikitable"
|| scale degree: || **1** ||   || **2** ||   || **3** ||   || **4** ||   || **5** ||   || **6** ||   || **7** ||   || **1** ||
|-
|| steps in 31edo: || **0** ||   || **5** ||   || **10** ||   || **13** ||   || **18** ||   || **23** ||   || **28** ||   || **31** ||
| | scale degree:
|| steps difference: ||   || 5 ||   || 5 ||   || 3 ||   || 5 ||   || 5 ||   || 5 ||   || 3 ||   ||
| | '''1'''
|| cents: || 0 ||   || **194** ||   || **387** ||   || 503 ||   || 697 ||   || **890** ||   || **1084** ||   || 1200 ||
| |  
|| cents difference: ||   || 194 ||   || 194 ||   || 116 ||   || 194 ||   || 194 ||   || 194 ||   || 116 ||   ||
| | '''2'''
|| interval name: || **prsu** ||   || **jato** ||   || **jadi** ||   || **prfo** ||   || **prfi** ||   || **jaxa** ||   || **javu** ||   || **prco** ||
| |  
|| interval difference: ||   || jato ||   || jato ||   || mito ||   || jato ||   || jato ||   || jato ||   || mito ||   ||
| | '''3'''
| |  
| | '''4'''
| |  
| | '''5'''
| |  
| | '''6'''
| |  
| | '''7'''
| |  
| | '''1'''
|-
| | steps in 31edo:
| | 0
| |  
| | '''5'''
| |  
| | '''10'''
| |  
| | '''13'''
| |  
| | '''18'''
| |  
| | '''23'''
| |  
| | '''28'''
| |  
| | '''31'''
|-
| | steps difference:
| |  
| | 5
| |  
| | 5
| |  
| | 3
| |  
| | 5
| |  
| | 5
| |  
| | 5
| |  
| | 3
| |  
|-
| | cents:
| | 0
| |  
| | '''194'''
| |  
| | '''387'''
| |  
| | 503
| |  
| | 697
| |  
| | '''890'''
| |  
| | '''1084'''
| |  
| | 1200
|-
| | cents difference:
| |  
| | 194
| |  
| | 194
| |  
| | 116
| |  
| | 194
| |  
| | 194
| |  
| | 194
| |  
| | 116
| |  
|-
| | interval name:
| | '''prsu'''
| |  
| | '''jato'''
| |  
| | '''jadi'''
| |  
| | '''prfo'''
| |  
| | '''prfi'''
| |  
| | '''jaxa'''
| |  
| | '''javu'''
| |  
| | '''prco'''
|-
| | interval difference:
| |  
| | jato
| |  
| | jato
| |  
| | mito
| |  
| | jato
| |  
| | jato
| |  
| | jato
| |  
| | mito
| |  
|}


This is identical with the major scale in 31edo.
This is identical with the major scale in 31edo.


We encourage you to tune up to this &amp; tell us what you think of it. </pre></div>
We encourage you to tune up to this &amp; tell us what you think of it.
<h4>Original HTML content:</h4>
[[Category:31edo tetrachordal scales]]
<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;31edo Tetra 5-5-3&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="x31edo Tetra 5-5-3"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;31edo Tetra 5-5-3&lt;/h1&gt;
&lt;br /&gt;
This scale represents one out of 66 septatonic tetrachordal scales available in 31edo. Each tetrachord consists of 5 steps, followed by 5 steps, followed by 3 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.&lt;br /&gt;
 
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;td&gt;scale degree:&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;1&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;2&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;3&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;4&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;5&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;6&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;7&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;1&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;steps in 31edo:&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;5&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;10&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;13&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;18&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;23&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;28&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;31&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;steps difference:&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;cents:&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;194&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;387&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;503&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;697&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;890&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;1084&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1200&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;cents difference:&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;194&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;194&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;116&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;194&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;194&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;194&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;116&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;interval name:&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;prsu&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;jato&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;jadi&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;prfo&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;prfi&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;jaxa&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;javu&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;prco&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;interval difference:&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jato&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jato&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;mito&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jato&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jato&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jato&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;mito&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
This is identical with the major scale in 31edo.&lt;br /&gt;
&lt;br /&gt;
We encourage you to tune up to this &amp;amp; tell us what you think of it.&lt;/body&gt;&lt;/html&gt;</pre></div>

Latest revision as of 20:04, 3 October 2024

This scale represents one out of 66 septatonic tetrachordal scales available in 31edo. Each tetrachord consists of 5 steps, followed by 5 steps, followed by 3 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 10 13 18 23 28 31
steps difference: 5 5 3 5 5 5 3
cents: 0 194 387 503 697 890 1084 1200
cents difference: 194 194 116 194 194 194 116
interval name: prsu jato jadi prfo prfi jaxa javu prco
interval difference: jato jato mito jato jato jato mito

This is identical with the major scale in 31edo.

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