Tetrachord: Difference between revisions
Wikispaces>Andrew_Heathwaite **Imported revision 87401237 - Original comment: ** |
Wikispaces>Andrew_Heathwaite **Imported revision 87403719 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2009-09-06 | : This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2009-09-06 15:04:54 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>87403719</tt>.<br> | ||
: The revision comment was: <tt></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> | The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | ||
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|| mode 1 || 1/1, a, b, 4/3, 3/2, 3a/2, 3b/2, 2/1 || | || mode 1 || 1/1, a, b, 4/3, 3/2, 3a/2, 3b/2, 2/1 || | ||
|| mode 2 || 1/1, || | || mode 2 || 1/1, b/a, 4/3a, 3/2a, 3/2, 3b/2a, 2/a, 2/1 || | ||
|| | || mode 3 || 1/1, 4b/3, 3b/2, 3a/2b, 3/2, 2/b, 2/b, 2/1 || | ||
|| | || mode 4 || 1/1, 9/8, 9a/8, 9b/8, 3/2, 3a, 3b, 2/1 || | ||
|| | || mode 5 || 1/1, a, b, 4/3, 4a/3, 4b/3, 16/9, 2/1 || | ||
|| | || mode 6 || 1/1, b/a, 4/3a, 4/3, 4b/3a, 16/9a, 2/1 || | ||
|| | || mode 7 || 1/1, 4/3b, 4a/3b, 4/3, 16/9b, 2/b, 2a/b, 2/1 || | ||
A heptatonic mirror thus contains more than a single kind of tetrachord. In addition to 1/1, a, b, 4/3, it would also have: | |||
1/1, b/a, 4/3a, 4/3 (mode 6) | |||
1/1, 4/3b, 4a/3b, 4/3 (mode 7)</pre></div> | |||
<h4>Original HTML content:</h4> | <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"><html><head><title>tetrachord</title></head><body>Related pages: <a class="wiki_link" href="/22edo%20tetrachords">22edo tetrachords</a>, <a class="wiki_link" href="/17edo%20tetrachords">17edo tetrachords</a>, <a class="wiki_link" href="/Tricesimoprimal%20Tetrachordal%20Tesseract">Tricesimoprimal Tetrachordal Tesseract</a><br /> | <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"><html><head><title>tetrachord</title></head><body>Related pages: <a class="wiki_link" href="/22edo%20tetrachords">22edo tetrachords</a>, <a class="wiki_link" href="/17edo%20tetrachords">17edo tetrachords</a>, <a class="wiki_link" href="/Tricesimoprimal%20Tetrachordal%20Tesseract">Tricesimoprimal Tetrachordal Tesseract</a><br /> | ||
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<td>mode 2<br /> | <td>mode 2<br /> | ||
</td> | </td> | ||
<td>1/1,<br /> | <td>1/1, b/a, 4/3a, 3/2a, 3/2, 3b/2a, 2/a, 2/1<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td>mode 3<br /> | ||
</td> | </td> | ||
<td><br /> | <td>1/1, 4b/3, 3b/2, 3a/2b, 3/2, 2/b, 2/b, 2/1<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td>mode 4<br /> | ||
</td> | </td> | ||
<td><br /> | <td>1/1, 9/8, 9a/8, 9b/8, 3/2, 3a, 3b, 2/1<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td>mode 5<br /> | ||
</td> | </td> | ||
<td><br /> | <td>1/1, a, b, 4/3, 4a/3, 4b/3, 16/9, 2/1<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td>mode 6<br /> | ||
</td> | </td> | ||
<td><br /> | <td>1/1, b/a, 4/3a, 4/3, 4b/3a, 16/9a, 2/1<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td>mode 7<br /> | ||
</td> | </td> | ||
<td><br /> | <td>1/1, 4/3b, 4a/3b, 4/3, 16/9b, 2/b, 2a/b, 2/1<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
</table> | </table> | ||
</body></html></pre></div> | <br /> | ||
A heptatonic mirror thus contains more than a single kind of tetrachord. In addition to 1/1, a, b, 4/3, it would also have:<br /> | |||
<br /> | |||
1/1, b/a, 4/3a, 4/3 (mode 6)<br /> | |||
1/1, 4/3b, 4a/3b, 4/3 (mode 7)</body></html></pre></div> | |||