Tricesimoprimal Tetrachordal Tesseract: Difference between revisions

Revision as of 20:58, 10 January 2008

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//for AAH//

This is not really a 4-dimensional cube, but a mere triangle. This is the table of tetrachord species in 31-edo, i.e. all of the ways that a perfect 4th (13 dieses) can be broken up into three steps. Numbers indicate intervals in degrees of 31.

|| [[31edo Tetra 11-1-1|11-1-1]] || [[31edo Tetra 10-1-2|10-1-2]] || [[31edo Tetra 9-1-3|9-1-3]] || [[31edo Tetra 8-1-4|8-1-4]] || [[31edo Tetra 7-1-5|7-1-5]] || [[31edo Tetra 6-1-6|6-1-6]] || [[31edo Tetra 5-1-7|5-1-7]] || [[31edo Tetra 4-1-8|4-1-8]] || [[31edo Tetra 3-1-9|3-1-9]] || [[31edo Tetra 2-1-10|2-1-10]] || [[31edo Tetra 1-1-11|1-1-11]] ||
|| [[31edo Tetra 10-2-1|10-2-1]] || [[31edo Tetra 9-2-2|9-2-2]] || [[31edo Tetra 8-2-3|8-2-3]] || [[31edo Tetra 7-2-4|7-2-4]] || [[31edo Tetra 6-2-5|6-2-5]] || [[31edo Tetra 5-2-6|5-2-6]] || [[31edo Tetra 4-2-7|4-2-7]] || [[31edo Tetra 3-2-8|3-2-8]] || [[31edo Tetra 2-2-9|2-2-9]] || [[31edo Tetra 1-2-10|1-2-10]] ||   ||
|| [[31edo Tetra 9-3-1|9-3-1]] || [[31edo Tetra 8-3-2|8-3-2]] || [[31edo Tetra 7-3-3|7-3-3]] || [[31edo Tetra 6-3-4|6-3-4]] || [[31edo Tetra 5-3-5|5-3-5]] || [[31edo Tetra 4-3-6|4-3-6]] || [[31edo Tetra 3-3-7|3-3-7]] || [[31edo Tetra 2-3-8|2-3-8]] || [[31edo Tetra 1-3-9|1-3-9]] ||   ||   ||
|| [[31edo Tetra 8-4-1|8-4-1]] || [[31edo Tetra 7-4-2|7-4-2]] || [[31edo Tetra 6-4-3|6-4-3]] || [[31edo Tetra 5-4-4|5-4-4]] || [[31edo Tetra 4-4-5|4-4-5]] || [[31edo Tetra 3-4-6|3-4-6]] || [[31edo Tetra 2-4-7|2-4-7]] || [[31edo Tetra 1-4-8|1-4-8]] ||   ||   ||   ||
|| [[31edo Tetra 7-5-1|7-5-1]] || [[31edo Tetra 6-5-2|6-5-2]] || [[31edo Tetra 5-5-3|5-5-3]] || [[31edo Tetra 4-5-4|4-5-4]] || [[31edo Tetra 3-5-5|3-5-5]] || [[31edo Tetra 2-5-6|2-5-6]] || [[31edo Tetra 1-5-7|1-5-7]] ||   ||   ||   ||   ||
|| [[31edo Tetra 6-6-1|6-6-1]] || [[31edo Tetra 5-6-2|5-6-2]] || [[31edo Tetra 4-6-3|4-6-3]] || [[31edo Tetra 3-6-4|3-6-4]] || [[31edo Tetra 2-6-5|2-6-5]] || [[31edo Tetra 1-6-6|1-6-6]] ||   ||   ||   ||   ||   ||
|| [[31edo Tetra 5-7-1|5-7-1]] || [[31edo Tetra 4-7-2|4-7-2]] || [[31edo Tetra 3-7-3|3-7-3]] || [[31edo Tetra 2-7-4|2-7-4]] || [[31edo Tetra 1-7-5|1-7-5]] ||   ||   ||   ||   ||   ||   ||
|| [[31edo Tetra 4-8-1|4-8-1]] || [[31edo Tetra 3-8-2|3-8-2]] || [[31edo Tetra 2-8-3|2-8-3]] || [[31edo Tetra 1-8-4|1-8-4]] ||   ||   ||   ||   ||   ||   ||   ||
|| [[31edo Tetra 3-9-1|3-9-1]] || [[31edo Tetra 2-9-2|2-9-2]] || [[31edo Tetra 1-9-3|1-9-3]] ||   ||   ||   ||   ||   ||   ||   ||   ||
|| [[31edo Tetra 2-10-1|2-10-1]] || [[31edo Tetra 1-10-2|1-10-2]] ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
|| [[31edo Tetra 1-11-1|1-11-1]] ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||

===Pick an ostinato=== 
Have a rhythm and generalized contour that you use on each tetrachord. Using the 7-note scale made up of 2 "disjunct" tetrachords (separated by a major tone), my ostinato was 0-1-2-3-2-1-0-1-2-3, 4-5-6-7-6-5-4-5-6-7, 0-1-2-3-4-5-6-7.

===Pick a path=== 
I prefer a path that is complete (hits every square exactly once) and incremental (moves by exchanges of a single diesis; in the chart, single moves of up/down, left/right, or northeast/southwest only). The path used in the first recording begins at the upper-right of the chart and zigzags left-right-left-right to the bottom left. Another fun path yet untried is a spiral triangle.

|| link || ostinato || path || range || tempo ||
|| [[media type="file" key="ttt 1.mp3"]]
([[http://xenharmonic.wikispaces.com/space/showimage/ttt%201.mp3|mp3]] [[http://xenharmonic.wikispaces.com/space/showimage/ttt0.mid|midi]]) || 0 1 2 3 2 1
0 1 2 3
4 5 6 7 6 5
4 5 6 7
0 1 2 3 4 5 6 7 || zigzag from 1-1-11 || Fd2 - Fd3 || eighth = 92 ||

===Go!=== 
Start out just humming or singing along to the recording. Use the unretuned MIDI file if you want to change the tempo. Ask me for more renderings on my synth with different specifications, and I will make and upload them. I might add more renderings out of my own explorations too.

===Extra credit=== 
Sing the entire exercise with the shortspeak interval names.

===Next-assignment assignment=== 
Write a ditty in a specific or generalized tetrachord scale, and turn it into an assignment for me.

[[user:xenjacob|1199752331]]

Original HTML content:

<html><head><title>Tricesimoprimal Tetrachordal Tesseract</title></head><body><em>for AAH</em><br />
<br />
This is not really a 4-dimensional cube, but a mere triangle. This is the table of tetrachord species in 31-edo, i.e. all of the ways that a perfect 4th (13 dieses) can be broken up into three steps. Numbers indicate intervals in degrees of 31.<br />
<br />


<table class="wiki_table">
    <tr>
        <td><a class="wiki_link" href="/31edo%20Tetra%2011-1-1">11-1-1</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%2010-1-2">10-1-2</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%209-1-3">9-1-3</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%208-1-4">8-1-4</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%207-1-5">7-1-5</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%206-1-6">6-1-6</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%205-1-7">5-1-7</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%204-1-8">4-1-8</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%203-1-9">3-1-9</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%202-1-10">2-1-10</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%201-1-11">1-1-11</a><br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/31edo%20Tetra%2010-2-1">10-2-1</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%209-2-2">9-2-2</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%208-2-3">8-2-3</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%207-2-4">7-2-4</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%206-2-5">6-2-5</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%205-2-6">5-2-6</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%204-2-7">4-2-7</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%203-2-8">3-2-8</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%202-2-9">2-2-9</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%201-2-10">1-2-10</a><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/31edo%20Tetra%209-3-1">9-3-1</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%208-3-2">8-3-2</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%207-3-3">7-3-3</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%206-3-4">6-3-4</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%205-3-5">5-3-5</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%204-3-6">4-3-6</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%203-3-7">3-3-7</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%202-3-8">2-3-8</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%201-3-9">1-3-9</a><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/31edo%20Tetra%208-4-1">8-4-1</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%207-4-2">7-4-2</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%206-4-3">6-4-3</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%205-4-4">5-4-4</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%204-4-5">4-4-5</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%203-4-6">3-4-6</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%202-4-7">2-4-7</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%201-4-8">1-4-8</a><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/31edo%20Tetra%207-5-1">7-5-1</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%206-5-2">6-5-2</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%205-5-3">5-5-3</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%204-5-4">4-5-4</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%203-5-5">3-5-5</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%202-5-6">2-5-6</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%201-5-7">1-5-7</a><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/31edo%20Tetra%206-6-1">6-6-1</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%205-6-2">5-6-2</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%204-6-3">4-6-3</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%203-6-4">3-6-4</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%202-6-5">2-6-5</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%201-6-6">1-6-6</a><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/31edo%20Tetra%205-7-1">5-7-1</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%204-7-2">4-7-2</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%203-7-3">3-7-3</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%202-7-4">2-7-4</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%201-7-5">1-7-5</a><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/31edo%20Tetra%204-8-1">4-8-1</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%203-8-2">3-8-2</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%202-8-3">2-8-3</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%201-8-4">1-8-4</a><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/31edo%20Tetra%203-9-1">3-9-1</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%202-9-2">2-9-2</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%201-9-3">1-9-3</a><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/31edo%20Tetra%202-10-1">2-10-1</a><br />
</td>
        <td><a class="wiki_link" href="/31edo%20Tetra%201-10-2">1-10-2</a><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/31edo%20Tetra%201-11-1">1-11-1</a><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:1:&lt;h3&gt; --><h3 id="toc0"><a name="x--Pick an ostinato"></a><!-- ws:end:WikiTextHeadingRule:1 -->Pick an ostinato</h3>
 Have a rhythm and generalized contour that you use on each tetrachord. Using the 7-note scale made up of 2 &quot;disjunct&quot; tetrachords (separated by a major tone), my ostinato was 0-1-2-3-2-1-0-1-2-3, 4-5-6-7-6-5-4-5-6-7, 0-1-2-3-4-5-6-7.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:3:&lt;h3&gt; --><h3 id="toc1"><a name="x--Pick a path"></a><!-- ws:end:WikiTextHeadingRule:3 -->Pick a path</h3>
 I prefer a path that is complete (hits every square exactly once) and incremental (moves by exchanges of a single diesis; in the chart, single moves of up/down, left/right, or northeast/southwest only). The path used in the first recording begins at the upper-right of the chart and zigzags left-right-left-right to the bottom left. Another fun path yet untried is a spiral triangle.<br />
<br />


<table class="wiki_table">
    <tr>
        <td>link<br />
</td>
        <td>ostinato<br />
</td>
        <td>path<br />
</td>
        <td>range<br />
</td>
        <td>tempo<br />
</td>
    </tr>
    <tr>
        <td><!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/ttt%201.mp3?h=20&amp;w=240&quot; class=&quot;WikiMedia WikiMediaFile&quot; id=&quot;wikitext@@media@@type=&amp;quot;file&amp;quot; key=&amp;quot;ttt 1.mp3&amp;quot;&quot; title=&quot;Local Media File&quot;height=&quot;20&quot; width=&quot;240&quot;/&gt; --><embed src="/s/mediaplayer.swf" pluginspage="http://www.macromedia.com/go/getflashplayer" type="application/x-shockwave-flash" quality="high" width="240" height="20" wmode="transparent" flashvars="file=http%253A%252F%252Fxenharmonic.wikispaces.com%252Ffile%252Fview%252Fttt%252B1.mp3?file_extension=mp3&autostart=false&repeat=false&showdigits=true&showfsbutton=false&width=240&height=20"></embed><!-- ws:end:WikiTextMediaRule:0 --><br />
(<a class="wiki_link_ext" href="http://xenharmonic.wikispaces.com/space/showimage/ttt%201.mp3" rel="nofollow">mp3</a> <a class="wiki_link_ext" href="http://xenharmonic.wikispaces.com/space/showimage/ttt0.mid" rel="nofollow">midi</a>)<br />
</td>
        <td>0 1 2 3 2 1<br />
0 1 2 3<br />
4 5 6 7 6 5<br />
4 5 6 7<br />
0 1 2 3 4 5 6 7<br />
</td>
        <td>zigzag from 1-1-11<br />
</td>
        <td>Fd2 - Fd3<br />
</td>
        <td>eighth = 92<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:5:&lt;h3&gt; --><h3 id="toc2"><a name="x--Go!"></a><!-- ws:end:WikiTextHeadingRule:5 -->Go!</h3>
 Start out just humming or singing along to the recording. Use the unretuned MIDI file if you want to change the tempo. Ask me for more renderings on my synth with different specifications, and I will make and upload them. I might add more renderings out of my own explorations too.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:7:&lt;h3&gt; --><h3 id="toc3"><a name="x--Extra credit"></a><!-- ws:end:WikiTextHeadingRule:7 -->Extra credit</h3>
 Sing the entire exercise with the shortspeak interval names.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:9:&lt;h3&gt; --><h3 id="toc4"><a name="x--Next-assignment assignment"></a><!-- ws:end:WikiTextHeadingRule:9 -->Next-assignment assignment</h3>
 Write a ditty in a specific or generalized tetrachord scale, and turn it into an assignment for me.<br />
<br />
<!-- ws:start:WikiTextUserlinkRule:00:[[user:xenjacob|1199752331]] --><span class="membersnap">- <a class="userLink" href="http://www.wikispaces.com/user/view/xenjacob" style="outline: none;"><img src="http://www.wikispaces.com/user/pic/xenjacob-lg.jpg" width="16" height="16" alt="xenjacob" class="userPicture" /></a> <a class="userLink" href="http://www.wikispaces.com/user/view/xenjacob" style="outline: none;">xenjacob</a> <small>Jan 7, 2008</small></span><!-- ws:end:WikiTextUserlinkRule:00 --></body></html>

@@ Line 1: / Line 1: @@
 <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>2008-01-07 19:32:11 UTC</tt>.<br>
+: This revision was by author [[User:connundurumchuff|connundurumchuff]] and made on <tt>2008-01-10 20:58:40 UTC</tt>.<br>
-: The original revision id was <tt>14261691</tt>.<br>
+: The original revision id was <tt>14493921</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>
@@ Line 10: / Line 10: @@
 This is not really a 4-dimensional cube, but a mere triangle. This is the table of tetrachord species in 31-edo, i.e. all of the ways that a perfect 4th (13 dieses) can be broken up into three steps. Numbers indicate intervals in degrees of 31.
-|| 11-1-1 || 10-1-2 || 9-1-3 || 8-1-4 || 7-1-5 || 6-1-6 || 5-1-7 || 4-1-8 || 3-1-9 || 2-1-10 || 1-1-11 ||
+|| [[31edo Tetra 11-1-1|11-1-1]] || [[31edo Tetra 10-1-2|10-1-2]] || [[31edo Tetra 9-1-3|9-1-3]] || [[31edo Tetra 8-1-4|8-1-4]] || [[31edo Tetra 7-1-5|7-1-5]] || [[31edo Tetra 6-1-6|6-1-6]] || [[31edo Tetra 5-1-7|5-1-7]] || [[31edo Tetra 4-1-8|4-1-8]] || [[31edo Tetra 3-1-9|3-1-9]] || [[31edo Tetra 2-1-10|2-1-10]] || [[31edo Tetra 1-1-11|1-1-11]] ||
-|| 10-2-1 || 9-2-2 || 8-2-3 || 7-2-4 || 6-2-5 || 5-2-6 || 4-2-7 || 3-2-8 || 2-2-9 || 1-2-10 ||   ||
+|| [[31edo Tetra 10-2-1|10-2-1]] || [[31edo Tetra 9-2-2|9-2-2]] || [[31edo Tetra 8-2-3|8-2-3]] || [[31edo Tetra 7-2-4|7-2-4]] || [[31edo Tetra 6-2-5|6-2-5]] || [[31edo Tetra 5-2-6|5-2-6]] || [[31edo Tetra 4-2-7|4-2-7]] || [[31edo Tetra 3-2-8|3-2-8]] || [[31edo Tetra 2-2-9|2-2-9]] || [[31edo Tetra 1-2-10|1-2-10]] ||   ||
-|| 9-3-1 || 8-3-2 || 7-3-3 || 6-3-4 || 5-3-5 || 4-3-6 || 3-3-7 || 2-3-8 || 1-3-9 ||   ||   ||
+|| [[31edo Tetra 9-3-1|9-3-1]] || [[31edo Tetra 8-3-2|8-3-2]] || [[31edo Tetra 7-3-3|7-3-3]] || [[31edo Tetra 6-3-4|6-3-4]] || [[31edo Tetra 5-3-5|5-3-5]] || [[31edo Tetra 4-3-6|4-3-6]] || [[31edo Tetra 3-3-7|3-3-7]] || [[31edo Tetra 2-3-8|2-3-8]] || [[31edo Tetra 1-3-9|1-3-9]] ||   ||   ||
-|| 8-4-1 || 7-4-2 || 6-4-3 || 5-4-4 || 4-4-5 || 3-4-6 || 2-4-7 || 1-4-8 ||   ||   ||   ||
+|| [[31edo Tetra 8-4-1|8-4-1]] || [[31edo Tetra 7-4-2|7-4-2]] || [[31edo Tetra 6-4-3|6-4-3]] || [[31edo Tetra 5-4-4|5-4-4]] || [[31edo Tetra 4-4-5|4-4-5]] || [[31edo Tetra 3-4-6|3-4-6]] || [[31edo Tetra 2-4-7|2-4-7]] || [[31edo Tetra 1-4-8|1-4-8]] ||   ||   ||   ||
-|| 7-5-1 || 6-5-2 || 5-5-3 || 4-5-4 || 3-5-5 || 2-5-6 || 1-5-7 ||   ||   ||   ||   ||
+|| [[31edo Tetra 7-5-1|7-5-1]] || [[31edo Tetra 6-5-2|6-5-2]] || [[31edo Tetra 5-5-3|5-5-3]] || [[31edo Tetra 4-5-4|4-5-4]] || [[31edo Tetra 3-5-5|3-5-5]] || [[31edo Tetra 2-5-6|2-5-6]] || [[31edo Tetra 1-5-7|1-5-7]] ||   ||   ||   ||   ||
-|| 6-6-1 || 5-6-2 || 4-6-3 || 3-6-4 || 2-6-5 || 1-6-6 ||   ||   ||   ||   ||   ||
+|| [[31edo Tetra 6-6-1|6-6-1]] || [[31edo Tetra 5-6-2|5-6-2]] || [[31edo Tetra 4-6-3|4-6-3]] || [[31edo Tetra 3-6-4|3-6-4]] || [[31edo Tetra 2-6-5|2-6-5]] || [[31edo Tetra 1-6-6|1-6-6]] ||   ||   ||   ||   ||   ||
-|| 5-7-1 || 4-7-2 || 3-7-3 || 2-7-4 || 1-7-5 ||   ||   ||   ||   ||   ||   ||
+|| [[31edo Tetra 5-7-1|5-7-1]] || [[31edo Tetra 4-7-2|4-7-2]] || [[31edo Tetra 3-7-3|3-7-3]] || [[31edo Tetra 2-7-4|2-7-4]] || [[31edo Tetra 1-7-5|1-7-5]] ||   ||   ||   ||   ||   ||   ||
-|| 4-8-1 || 3-8-2 || 2-8-3 || 1-8-4 ||   ||   ||   ||   ||   ||   ||   ||
+|| [[31edo Tetra 4-8-1|4-8-1]] || [[31edo Tetra 3-8-2|3-8-2]] || [[31edo Tetra 2-8-3|2-8-3]] || [[31edo Tetra 1-8-4|1-8-4]] ||   ||   ||   ||   ||   ||   ||   ||
-|| 3-9-1 || 2-9-2 || 1-9-3 ||   ||   ||   ||   ||   ||   ||   ||   ||
+|| [[31edo Tetra 3-9-1|3-9-1]] || [[31edo Tetra 2-9-2|2-9-2]] || [[31edo Tetra 1-9-3|1-9-3]] ||   ||   ||   ||   ||   ||   ||   ||   ||
-|| 2-10-1 || 1-10-2 ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
+|| [[31edo Tetra 2-10-1|2-10-1]] || [[31edo Tetra 1-10-2|1-10-2]] ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
-|| 1-11-1 ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
+|| [[31edo Tetra 1-11-1|1-11-1]] ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 ===Pick an ostinato===
@@ Line 55: / Line 55: @@
 &lt;table class="wiki_table"&gt;
      &lt;tr&gt;
-         &lt;td&gt;11-1-1&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%2011-1-1"&gt;11-1-1&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;10-1-2&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%2010-1-2"&gt;10-1-2&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;9-1-3&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%209-1-3"&gt;9-1-3&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;8-1-4&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%208-1-4"&gt;8-1-4&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;7-1-5&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%207-1-5"&gt;7-1-5&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;6-1-6&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%206-1-6"&gt;6-1-6&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;5-1-7&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%205-1-7"&gt;5-1-7&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;4-1-8&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%204-1-8"&gt;4-1-8&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;3-1-9&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%203-1-9"&gt;3-1-9&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;2-1-10&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%202-1-10"&gt;2-1-10&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1-1-11&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%201-1-11"&gt;1-1-11&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;10-2-1&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%2010-2-1"&gt;10-2-1&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;9-2-2&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%209-2-2"&gt;9-2-2&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;8-2-3&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%208-2-3"&gt;8-2-3&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;7-2-4&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%207-2-4"&gt;7-2-4&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;6-2-5&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%206-2-5"&gt;6-2-5&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;5-2-6&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%205-2-6"&gt;5-2-6&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;4-2-7&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%204-2-7"&gt;4-2-7&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;3-2-8&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%203-2-8"&gt;3-2-8&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;2-2-9&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%202-2-9"&gt;2-2-9&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1-2-10&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%201-2-10"&gt;1-2-10&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 103: / Line 103: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;9-3-1&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%209-3-1"&gt;9-3-1&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;8-3-2&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%208-3-2"&gt;8-3-2&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;7-3-3&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%207-3-3"&gt;7-3-3&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;6-3-4&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%206-3-4"&gt;6-3-4&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;5-3-5&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%205-3-5"&gt;5-3-5&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;4-3-6&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%204-3-6"&gt;4-3-6&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;3-3-7&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%203-3-7"&gt;3-3-7&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;2-3-8&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%202-3-8"&gt;2-3-8&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1-3-9&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%201-3-9"&gt;1-3-9&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 127: / Line 127: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;8-4-1&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%208-4-1"&gt;8-4-1&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;7-4-2&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%207-4-2"&gt;7-4-2&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;6-4-3&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%206-4-3"&gt;6-4-3&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;5-4-4&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%205-4-4"&gt;5-4-4&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;4-4-5&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%204-4-5"&gt;4-4-5&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;3-4-6&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%203-4-6"&gt;3-4-6&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;2-4-7&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%202-4-7"&gt;2-4-7&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1-4-8&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%201-4-8"&gt;1-4-8&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 151: / Line 151: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;7-5-1&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%207-5-1"&gt;7-5-1&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;6-5-2&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%206-5-2"&gt;6-5-2&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;5-5-3&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%205-5-3"&gt;5-5-3&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;4-5-4&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%204-5-4"&gt;4-5-4&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;3-5-5&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%203-5-5"&gt;3-5-5&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;2-5-6&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%202-5-6"&gt;2-5-6&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1-5-7&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%201-5-7"&gt;1-5-7&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 175: / Line 175: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;6-6-1&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%206-6-1"&gt;6-6-1&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;5-6-2&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%205-6-2"&gt;5-6-2&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;4-6-3&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%204-6-3"&gt;4-6-3&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;3-6-4&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%203-6-4"&gt;3-6-4&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;2-6-5&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%202-6-5"&gt;2-6-5&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1-6-6&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%201-6-6"&gt;1-6-6&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 199: / Line 199: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;5-7-1&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%205-7-1"&gt;5-7-1&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;4-7-2&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%204-7-2"&gt;4-7-2&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;3-7-3&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%203-7-3"&gt;3-7-3&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;2-7-4&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%202-7-4"&gt;2-7-4&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1-7-5&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%201-7-5"&gt;1-7-5&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 223: / Line 223: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;4-8-1&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%204-8-1"&gt;4-8-1&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;3-8-2&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%203-8-2"&gt;3-8-2&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;2-8-3&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%202-8-3"&gt;2-8-3&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1-8-4&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%201-8-4"&gt;1-8-4&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 247: / Line 247: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;3-9-1&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%203-9-1"&gt;3-9-1&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;2-9-2&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%202-9-2"&gt;2-9-2&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1-9-3&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%201-9-3"&gt;1-9-3&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 271: / Line 271: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;2-10-1&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%202-10-1"&gt;2-10-1&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1-10-2&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%201-10-2"&gt;1-10-2&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 295: / Line 295: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;1-11-1&lt;br /&gt;
+         &lt;td&gt;&lt;a class="wiki_link" href="/31edo%20Tetra%201-11-1"&gt;1-11-1&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;

Tricesimoprimal Tetrachordal Tesseract: Difference between revisions

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