31edo Tetra 10-2-1: 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>2008-01-10 21:44:38 UTC</tt>.<br>
: The original revision id was <tt>14496043</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 10-2-1=
This scale represents one out of 66 septatonic tetrachordal scales available in 31edo. Each tetrachord consists of 10 steps, followed by 2 steps, followed by 1 step (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 10 steps, followed by 2 steps, followed by 1 step (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 ||
{| class="wikitable"
|| steps in 31edo: || ===1=== || ===10=== || ===12=== || ===13=== || ===18=== || ===28=== || ===30=== ||
|-
|| steps difference: || 10 || 2 || 1 || 5 || 10 || 2 || 1 ||
| | scale degree:
|| cents: || ===0=== || ===387=== || ===465=== || ===503=== || ===697=== || ===1084=== || ===1161=== ||
| | '''1'''
|| cents difference: || 387 || 77 || 39 || 194 || 387 || 77 || 39 ||
| |  
|| interval name: || ===prsu=== || ===jadi=== || ===lefo=== || ===prfo=== || ===prfi=== || ===javu=== || ===leco=== ||
| | '''2'''
|| interval difference: || jadi || leto || gosu || jato || jadi || leto || gosu ||
| |  
 
| | '''3'''
 
| |  
We encourage you to tune up to this &amp; tell us what you think of it. </pre></div>
| | '''4'''
<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 10-2-1&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 10-2-1"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;31edo Tetra 10-2-1&lt;/h1&gt;
| | '''5'''
&lt;br /&gt;
| |  
This scale represents one out of 66 septatonic tetrachordal scales available in 31edo. Each tetrachord consists of 10 steps, followed by 2 steps, followed by 1 step (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;
| | '''6'''
&lt;br /&gt;
| |  
 
| | '''7'''
 
| |  
&lt;table class="wiki_table"&gt;
| | '''1'''
    &lt;tr&gt;
|-
        &lt;td&gt;scale degree:&lt;br /&gt;
| | steps in 31edo:
&lt;/td&gt;
| | 0
        &lt;td&gt;1&lt;br /&gt;
| |  
&lt;/td&gt;
| | '''10'''
        &lt;td&gt;2&lt;br /&gt;
| |  
&lt;/td&gt;
| | '''12'''
        &lt;td&gt;3&lt;br /&gt;
| |  
&lt;/td&gt;
| | '''13'''
        &lt;td&gt;4&lt;br /&gt;
| |  
&lt;/td&gt;
| | '''18'''
        &lt;td&gt;5&lt;br /&gt;
| |  
&lt;/td&gt;
| | '''28'''
        &lt;td&gt;6&lt;br /&gt;
| |  
&lt;/td&gt;
| | '''30'''
        &lt;td&gt;7&lt;br /&gt;
| |  
&lt;/td&gt;
| | '''31'''
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| | steps difference:
        &lt;td&gt;steps in 31edo:&lt;br /&gt;
| |  
&lt;/td&gt;
| | 10
        &lt;td&gt;&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc1"&gt;&lt;a name="x31edo Tetra 10-2-1--1"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;1&lt;/h3&gt;
| |  
&lt;/td&gt;
| | 2
        &lt;td&gt;&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc2"&gt;&lt;a name="x31edo Tetra 10-2-1--10"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;10&lt;/h3&gt;
| |  
&lt;/td&gt;
| | 1
        &lt;td&gt;&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc3"&gt;&lt;a name="x31edo Tetra 10-2-1--12"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;12&lt;/h3&gt;
| |  
&lt;/td&gt;
| | 5
        &lt;td&gt;&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc4"&gt;&lt;a name="x31edo Tetra 10-2-1--13"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;13&lt;/h3&gt;
| |  
&lt;/td&gt;
| | 10
        &lt;td&gt;&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc5"&gt;&lt;a name="x31edo Tetra 10-2-1--18"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;18&lt;/h3&gt;
| |  
&lt;/td&gt;
| | 2
        &lt;td&gt;&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc6"&gt;&lt;a name="x31edo Tetra 10-2-1--28"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;28&lt;/h3&gt;
| |  
&lt;/td&gt;
| | 1
        &lt;td&gt;&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc7"&gt;&lt;a name="x31edo Tetra 10-2-1--30"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;30&lt;/h3&gt;
| |  
&lt;/td&gt;
|-
    &lt;/tr&gt;
| | cents:
    &lt;tr&gt;
| | 0
        &lt;td&gt;steps difference:&lt;br /&gt;
| |  
&lt;/td&gt;
| | '''387'''
        &lt;td&gt;10&lt;br /&gt;
| |  
&lt;/td&gt;
| | '''465'''
        &lt;td&gt;2&lt;br /&gt;
| |  
&lt;/td&gt;
| | '''503'''
        &lt;td&gt;1&lt;br /&gt;
| |  
&lt;/td&gt;
| | '''697'''
        &lt;td&gt;5&lt;br /&gt;
| |
&lt;/td&gt;
| | '''1084'''
        &lt;td&gt;10&lt;br /&gt;
| |
&lt;/td&gt;
| | '''1161'''
        &lt;td&gt;2&lt;br /&gt;
| |
&lt;/td&gt;
| | '''1200'''
        &lt;td&gt;1&lt;br /&gt;
|-
&lt;/td&gt;
| | cents difference:
    &lt;/tr&gt;
| |
    &lt;tr&gt;
| | 387
        &lt;td&gt;cents:&lt;br /&gt;
| |
&lt;/td&gt;
| | 77
        &lt;td&gt;&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc8"&gt;&lt;a name="x31edo Tetra 10-2-1--0"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;0&lt;/h3&gt;
| |
&lt;/td&gt;
| | 39
        &lt;td&gt;&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc9"&gt;&lt;a name="x31edo Tetra 10-2-1--387"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;387&lt;/h3&gt;
| |
&lt;/td&gt;
| | 194
        &lt;td&gt;&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc10"&gt;&lt;a name="x31edo Tetra 10-2-1--465"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;465&lt;/h3&gt;
| |
&lt;/td&gt;
| | 387
        &lt;td&gt;&lt;!-- ws:start:WikiTextHeadingRule:22:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc11"&gt;&lt;a name="x31edo Tetra 10-2-1--503"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt;503&lt;/h3&gt;
| |
&lt;/td&gt;
| | 77
        &lt;td&gt;&lt;!-- ws:start:WikiTextHeadingRule:24:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc12"&gt;&lt;a name="x31edo Tetra 10-2-1--697"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt;697&lt;/h3&gt;
| |
&lt;/td&gt;
| | 39
        &lt;td&gt;&lt;!-- ws:start:WikiTextHeadingRule:26:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc13"&gt;&lt;a name="x31edo Tetra 10-2-1--1084"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt;1084&lt;/h3&gt;
| |
&lt;/td&gt;
|-
        &lt;td&gt;&lt;!-- ws:start:WikiTextHeadingRule:28:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc14"&gt;&lt;a name="x31edo Tetra 10-2-1--1161"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt;1161&lt;/h3&gt;
| | interval name:
&lt;/td&gt;
| | '''prsu'''
    &lt;/tr&gt;
| |
    &lt;tr&gt;
| | '''jadi'''
        &lt;td&gt;cents difference:&lt;br /&gt;
| |
&lt;/td&gt;
| | '''lefo'''
        &lt;td&gt;387&lt;br /&gt;
| |
&lt;/td&gt;
| | '''prfo'''
        &lt;td&gt;77&lt;br /&gt;
| |
&lt;/td&gt;
| | '''prfi'''
        &lt;td&gt;39&lt;br /&gt;
| |
&lt;/td&gt;
| | '''javu'''
        &lt;td&gt;194&lt;br /&gt;
| |
&lt;/td&gt;
| | '''leco'''
        &lt;td&gt;387&lt;br /&gt;
| |
&lt;/td&gt;
| | '''prco'''
        &lt;td&gt;77&lt;br /&gt;
|-
&lt;/td&gt;
| | interval difference:
        &lt;td&gt;39&lt;br /&gt;
| |
&lt;/td&gt;
| | jadi
    &lt;/tr&gt;
| |
    &lt;tr&gt;
| | leto
        &lt;td&gt;interval name:&lt;br /&gt;
| |
&lt;/td&gt;
| | gosu
        &lt;td&gt;&lt;!-- ws:start:WikiTextHeadingRule:30:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc15"&gt;&lt;a name="x31edo Tetra 10-2-1--prsu"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:30 --&gt;prsu&lt;/h3&gt;
| |
&lt;/td&gt;
| | jato
        &lt;td&gt;&lt;!-- ws:start:WikiTextHeadingRule:32:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc16"&gt;&lt;a name="x31edo Tetra 10-2-1--jadi"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:32 --&gt;jadi&lt;/h3&gt;
| |
&lt;/td&gt;
| | jadi
        &lt;td&gt;&lt;!-- ws:start:WikiTextHeadingRule:34:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc17"&gt;&lt;a name="x31edo Tetra 10-2-1--lefo"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:34 --&gt;lefo&lt;/h3&gt;
| |
&lt;/td&gt;
| | leto
        &lt;td&gt;&lt;!-- ws:start:WikiTextHeadingRule:36:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc18"&gt;&lt;a name="x31edo Tetra 10-2-1--prfo"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:36 --&gt;prfo&lt;/h3&gt;
| |
&lt;/td&gt;
| | gosu
        &lt;td&gt;&lt;!-- ws:start:WikiTextHeadingRule:38:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc19"&gt;&lt;a name="x31edo Tetra 10-2-1--prfi"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:38 --&gt;prfi&lt;/h3&gt;
| |
&lt;/td&gt;
|}
        &lt;td&gt;&lt;!-- ws:start:WikiTextHeadingRule:40:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc20"&gt;&lt;a name="x31edo Tetra 10-2-1--javu"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:40 --&gt;javu&lt;/h3&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;!-- ws:start:WikiTextHeadingRule:42:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc21"&gt;&lt;a name="x31edo Tetra 10-2-1--leco"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:42 --&gt;leco&lt;/h3&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;interval difference:&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jadi&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;leto&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;gosu&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jato&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jadi&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;leto&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;gosu&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 20:03, 3 October 2024

This scale represents one out of 66 septatonic tetrachordal scales available in 31edo. Each tetrachord consists of 10 steps, followed by 2 steps, followed by 1 step (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 10 12 13 18 28 30 31
steps difference: 10 2 1 5 10 2 1
cents: 0 387 465 503 697 1084 1161 1200
cents difference: 387 77 39 194 387 77 39
interval name: prsu jadi lefo prfo prfi javu leco prco
interval difference: jadi leto gosu jato jadi leto gosu

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

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