Tenney norm: Difference between revisions
Wikispaces>xenwolf **Imported revision 146159623 - Original comment: added example** |
Wikispaces>genewardsmith **Imported revision 146185801 - 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: | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-06-01 07:42:43 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>146185801</tt>.<br> | ||
: The revision comment was: <tt> | : 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> | ||
<h4>Original Wikitext content:</h4> | <h4>Original Wikitext content:</h4> | ||
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[[code]] | [[code]] | ||
== | ==Examples== | ||
|| **interval name** || **frequency ratio** || **ket vector** || **Tenney Height** || | || **interval name** || **frequency ratio** || **ket vector** || **Tenney Height** || | ||
|| prime || 1/1 || | | || prime || 1/1 || |0> || 0 || | ||
|| octave || 2/1 || |1> || 1 || | || octave || 2/1 || |1> || 1 || | ||
|| just perfect fifth || 3/2 || |-1 1> || | || just perfect fifth || 3/2 || |-1 1> || log2(6) = 2.585 || | ||
|| just major third || 5/4 || |-2 0 1> || | || just major third || 5/4 || |-2 0 1> || log2(20) = 4.322 || | ||
|| harmonic seventh || 7/4 || |-2 0 0 1> || | || harmonic seventh || 7/4 || |-2 0 0 1> || log2(28) = 4.807 || | ||
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<!-- ws:end:WikiTextCodeRule:0 --><br /> | <!-- ws:end:WikiTextCodeRule:0 --><br /> | ||
<!-- ws:start:WikiTextHeadingRule:1:&lt;h2&gt; --><h2 id="toc0"><a name="x- | <!-- ws:start:WikiTextHeadingRule:1:&lt;h2&gt; --><h2 id="toc0"><a name="x-Examples"></a><!-- ws:end:WikiTextHeadingRule:1 -->Examples</h2> | ||
<br /> | <br /> | ||
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<td>1/1<br /> | <td>1/1<br /> | ||
</td> | </td> | ||
<td>| | <td>|0&gt;<br /> | ||
</td> | </td> | ||
<td>0<br /> | <td>0<br /> | ||
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<td>|-1 1&gt;<br /> | <td>|-1 1&gt;<br /> | ||
</td> | </td> | ||
<td> | <td>log2(6) = 2.585<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>|-2 0 1&gt;<br /> | <td>|-2 0 1&gt;<br /> | ||
</td> | </td> | ||
<td> | <td>log2(20) = 4.322<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>|-2 0 0 1&gt;<br /> | <td>|-2 0 0 1&gt;<br /> | ||
</td> | </td> | ||
<td> | <td>log2(28) = 4.807<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<em>see also discussion on <!-- ws:start:WikiTextUrlRule: | <em>see also discussion on <!-- ws:start:WikiTextUrlRule:99:http://lumma.org/music/theory/TuningFAQ.txt --><a class="wiki_link_ext" href="http://lumma.org/music/theory/TuningFAQ.txt" rel="nofollow">http://lumma.org/music/theory/TuningFAQ.txt</a><!-- ws:end:WikiTextUrlRule:99 --> section CONSONANCE AND DISSONANCE</em></body></html></pre></div> | ||