31edo Tetra 5-3-5: 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:xenjacob|xenjacob]] and made on <tt>2008-01-19 18:31:16 UTC</tt>.<br>
: The original revision id was <tt>15051993</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 5-3-5=
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.
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 ||  ||
This is identical to the Dorian scale in 31edo.
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 5-3-5&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 5-3-5"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;31edo Tetra 5-3-5&lt;/h1&gt;
&lt;br /&gt;
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.&lt;br /&gt;


{| class="wikitable"
|-
| | 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
| |
|}


&lt;table class="wiki_table"&gt;
In a circle-of-fifths paradigm, this scale coincides with the Dorian mode.
    &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;8&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;26&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;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;td&gt;5&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;310&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;1006&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;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;td&gt;194&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;midi&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;prfo&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;prfi&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;mivu&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;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;td&gt;jato&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.
This is identical to the Dorian scale in 31edo.&lt;br /&gt;
[[Category:31edo tetrachordal scales]]
&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 04:52, 31 January 2024

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.

Retrieved from "https://en.xen.wiki/index.php?title=31edo_Tetra_5-3-5&oldid=133830"