31edo Tetra 6-3-4: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:connundurumchuff|connundurumchuff]] and made on <tt>2008-01-18 10:59:38 UTC</tt>.<br>
: The original revision id was <tt>14985087</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 6-3-4=
This scale represents one out of 66 septatonic tetrachordal scales available in 31edo. Each tetrachord consists of 6 steps, followed by 3 steps, followed by 4 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 scale represents one out of 66 septatonic tetrachordal scales available in 31edo. Each tetrachord consists of 6 steps, followed by 3 steps, followed by 4 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** ||  || **6** ||  || **9** ||  || **13** ||  || **18** ||  || **24** ||  || **27** ||  || **31** ||
|| steps difference: ||  || 6 ||  || 3 ||  || 4 ||  || 5 ||  || 6 ||  || 3 ||  || 4 ||  ||
|| cents: || **0** ||  || **232** ||  || **310** ||  || **503** ||  || **697** ||  || **929** ||  || **1045** ||  || **1200** ||
|| cents difference: ||  || 232 ||  || 116 ||  || 155 ||  || 194 ||  || 232 ||  || 116 ||  || 155 ||  ||
|| interval name: || **prsu** ||  || **goto** ||  || **nudi** ||  || **prfo** ||  || **prfi** ||  || **goxa** ||  || **nuvu** ||  || **prco** ||
|| interval difference: ||  || goto ||  || mito ||  || nuto ||  || jato ||  || goto ||  || mito ||  || nuto ||  ||
We encourage you to tune up to this &amp; tell us what you think of it. </pre></div>
<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;31edo Tetra 6-3-4&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 6-3-4"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;31edo Tetra 6-3-4&lt;/h1&gt;
&lt;br /&gt;
This scale represents one out of 66 septatonic tetrachordal scales available in 31edo. Each tetrachord consists of 6 steps, followed by 3 steps, followed by 4 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;
{| class="wikitable"
    &lt;tr&gt;
|-
        &lt;td&gt;scale degree:&lt;br /&gt;
| | scale degree:
&lt;/td&gt;
| | '''1'''
        &lt;td&gt;&lt;strong&gt;1&lt;/strong&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | '''2'''
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | '''3'''
        &lt;td&gt;&lt;strong&gt;2&lt;/strong&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | '''4'''
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | '''5'''
        &lt;td&gt;&lt;strong&gt;3&lt;/strong&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | '''6'''
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | '''7'''
        &lt;td&gt;&lt;strong&gt;4&lt;/strong&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | '''1'''
        &lt;td&gt;&lt;br /&gt;
|-
&lt;/td&gt;
| | steps in 31edo:
        &lt;td&gt;&lt;strong&gt;5&lt;/strong&gt;&lt;br /&gt;
| | 0
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | '''6'''
&lt;/td&gt;
| |
        &lt;td&gt;&lt;strong&gt;6&lt;/strong&gt;&lt;br /&gt;
| | '''9'''
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | '''13'''
&lt;/td&gt;
| |
        &lt;td&gt;&lt;strong&gt;7&lt;/strong&gt;&lt;br /&gt;
| | '''18'''
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | '''24'''
&lt;/td&gt;
| |
        &lt;td&gt;&lt;strong&gt;1&lt;/strong&gt;&lt;br /&gt;
| | '''27'''
&lt;/td&gt;
| |
    &lt;/tr&gt;
| | '''31'''
    &lt;tr&gt;
|-
        &lt;td&gt;steps in 31edo:&lt;br /&gt;
| | steps difference:
&lt;/td&gt;
| |
        &lt;td&gt;0&lt;br /&gt;
| | 6
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | 3
&lt;/td&gt;
| |
        &lt;td&gt;&lt;strong&gt;6&lt;/strong&gt;&lt;br /&gt;
| | 4
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | 5
&lt;/td&gt;
| |
        &lt;td&gt;&lt;strong&gt;9&lt;/strong&gt;&lt;br /&gt;
| | 6
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | 3
&lt;/td&gt;
| |
        &lt;td&gt;&lt;strong&gt;13&lt;/strong&gt;&lt;br /&gt;
| | 4
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
|-
&lt;/td&gt;
| | cents:
        &lt;td&gt;&lt;strong&gt;18&lt;/strong&gt;&lt;br /&gt;
| | 0
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | '''232'''
&lt;/td&gt;
| |
        &lt;td&gt;&lt;strong&gt;24&lt;/strong&gt;&lt;br /&gt;
| | '''310'''
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | '''503'''
&lt;/td&gt;
| |
        &lt;td&gt;&lt;strong&gt;27&lt;/strong&gt;&lt;br /&gt;
| | '''697'''
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | '''929'''
&lt;/td&gt;
| |
        &lt;td&gt;&lt;strong&gt;31&lt;/strong&gt;&lt;br /&gt;
| | '''1045'''
&lt;/td&gt;
| |
    &lt;/tr&gt;
| | '''1200'''
    &lt;tr&gt;
|-
        &lt;td&gt;steps difference:&lt;br /&gt;
| | cents difference:
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | 232
&lt;/td&gt;
| |
        &lt;td&gt;6&lt;br /&gt;
| | 116
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | 155
&lt;/td&gt;
| |
        &lt;td&gt;3&lt;br /&gt;
| | 194
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | 232
&lt;/td&gt;
| |
        &lt;td&gt;4&lt;br /&gt;
| | 116
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | 155
&lt;/td&gt;
| |
        &lt;td&gt;5&lt;br /&gt;
|-
&lt;/td&gt;
| | interval name:
        &lt;td&gt;&lt;br /&gt;
| | '''prsu'''
&lt;/td&gt;
| |
        &lt;td&gt;6&lt;br /&gt;
| | '''goto'''
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | '''nudi'''
&lt;/td&gt;
| |
        &lt;td&gt;3&lt;br /&gt;
| | '''prfo'''
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | '''prfi'''
&lt;/td&gt;
| |
        &lt;td&gt;4&lt;br /&gt;
| | '''goxa'''
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | '''nuvu'''
&lt;/td&gt;
| |
    &lt;/tr&gt;
| | '''prco'''
    &lt;tr&gt;
|-
        &lt;td&gt;cents:&lt;br /&gt;
| | interval difference:
&lt;/td&gt;
| |
        &lt;td&gt;0&lt;br /&gt;
| | goto
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | mito
&lt;/td&gt;
| |
        &lt;td&gt;&lt;strong&gt;232&lt;/strong&gt;&lt;br /&gt;
| | nuto
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | jato
&lt;/td&gt;
| |
        &lt;td&gt;&lt;strong&gt;310&lt;/strong&gt;&lt;br /&gt;
| | goto
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | mito
&lt;/td&gt;
| |
        &lt;td&gt;&lt;strong&gt;503&lt;/strong&gt;&lt;br /&gt;
| | nuto
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
|}
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;697&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;929&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;1045&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;1200&lt;/strong&gt;&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;232&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;155&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;232&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;155&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;goto&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;nudi&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;goxa&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;nuvu&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;goto&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;nuto&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;goto&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;nuto&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;br /&gt;
We encourage you to tune up to this &amp; tell us what you think of it.
&lt;br /&gt;
[[Category:31edo tetrachordal scales]]
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 20:11, 3 October 2024

This scale represents one out of 66 septatonic tetrachordal scales available in 31edo. Each tetrachord consists of 6 steps, followed by 3 steps, followed by 4 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 6 9 13 18 24 27 31
steps difference: 6 3 4 5 6 3 4
cents: 0 232 310 503 697 929 1045 1200
cents difference: 232 116 155 194 232 116 155
interval name: prsu goto nudi prfo prfi goxa nuvu prco
interval difference: goto mito nuto jato goto mito nuto

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

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