Tenney norm: 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:

: This revision was by author [[User:~~guest~~|~~guest~~]] and made on <tt>2011-08-30 17:06:40 UTC</tt>.

: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2011-08-30 17:10:37 UTC</tt>.

: The original revision id was <tt>~~249502001~~</tt>.

: The original revision id was <tt>249502925</tt>.

: The revision comment was: <tt></tt>

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

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[[code]]

==Examples==|| **interval name** || **frequency ratio** || **ket vector** || **log2 (Benedetti Height)** ||

==Examples==

|| **interval name** || **frequency ratio** || **ket vector** || **log2 (Benedetti Height)** ||

|| prime || 1/1 || |0> || 0 ||

|| octave || 2/1 || |1> || 1 ||

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~~==Examples==||~~ <~~strong~~>~~interval name&~~lt;~~/strong~~&~~gt; || &lt~~;~~strong&~~gt;~~frequency ratio</strong~~> || <~~strong~~>~~ket vector~~<~~/strong> || log2</~~span~~> ~~(Benedetti Height)~~<~~/strong> ||

<h2 id="toc0"><a name="x-Examples"></a>Examples</h2>

<tr>

<td>interval name

</td>

<td>frequency ratio

</td>

<td>ket vector

</td>

<td>log2 (Benedetti Height)

</td>

</tr>

<tr>

<td>prime

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The name Tenney height stems from the fact that <a class="wiki_link" href="/James%20Tenney">James Tenney</a> proposed it. The Benedetti height, the product of the numerator and denominator, was first proposed as a consonance measure by the Renaissance scientist and mathematician <a class="wiki_link_ext" href="http://www.webcitation.org/6076Lm8r4" rel="nofollow">Giovanni Battista Benedetti</a>.

See also, discussion at <a class="wiki_link_ext" href="http://lumma.org/tuning/faq/#heights" rel="nofollow">http://lumma.org/tuning/faq/#heights</a></body></html></pre></div>

See also, discussion at <a class="wiki_link_ext" href="http://lumma.org/tuning/faq/#heights" rel="nofollow">http://lumma.org/tuning/faq/#heights</a></body></html></pre></div>

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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:guest|guest]] and made on <tt>2011-08-30 17:06:40 UTC</tt>.<br>
+: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2011-08-30 17:10:37 UTC</tt>.<br>
-: The original revision id was <tt>249502001</tt>.<br>
+: The original revision id was <tt>249502925</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 13: / Line 13: @@
 [[code]]
-==Examples==|| **interval name** || **frequency ratio** || **ket vector** || **log&lt;span style="font-size: 60%; vertical-align: sub;"&gt;2&lt;/span&gt; (Benedetti Height)** ||
+==Examples==
+|| **interval name** || **frequency ratio** || **ket vector** || **log&lt;span style="font-size: 60%; vertical-align: sub;"&gt;2&lt;/span&gt; (Benedetti Height)** ||
 || prime || 1/1 || |0&gt; || 0 ||
 || octave || 2/1 || |1&gt; || 1 ||
@@ Line 43: / Line 44: @@
 &lt;!-- ws:end:WikiTextCodeRule:0 --&gt;&lt;br /&gt;
-==Examples==|| &lt;strong&gt;interval name&lt;/strong&gt; || &lt;strong&gt;frequency ratio&lt;/strong&gt; || &lt;strong&gt;ket vector&lt;/strong&gt; || &lt;strong&gt;log&lt;span style="font-size: 60%; vertical-align: sub;"&gt;2&lt;/span&gt; (Benedetti Height)&lt;/strong&gt; ||&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:1:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-Examples"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:1 --&gt;Examples&lt;/h2&gt;
 &lt;table class="wiki_table"&gt;
+    &lt;tr&gt;
+        &lt;td&gt;&lt;strong&gt;interval name&lt;/strong&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;strong&gt;frequency ratio&lt;/strong&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;strong&gt;ket vector&lt;/strong&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;strong&gt;log&lt;span style="font-size: 60%; vertical-align: sub;"&gt;2&lt;/span&gt; (Benedetti Height)&lt;/strong&gt;&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
      &lt;tr&gt;
          &lt;td&gt;prime&lt;br /&gt;
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 The name &lt;em&gt;Tenney height&lt;/em&gt; stems from the fact that &lt;a class="wiki_link" href="/James%20Tenney"&gt;James Tenney&lt;/a&gt; proposed it. The &lt;em&gt;Benedetti height&lt;/em&gt;, the product of the numerator and denominator, was first proposed as a consonance measure by the Renaissance scientist and mathematician &lt;a class="wiki_link_ext" href="http://www.webcitation.org/6076Lm8r4" rel="nofollow"&gt;Giovanni Battista Benedetti&lt;/a&gt;.&lt;br /&gt;
 &lt;br /&gt;
-&lt;em&gt;See also, discussion at &lt;!-- ws:start:WikiTextUrlRule:89:http://lumma.org/tuning/faq/#heights --&gt;&lt;a class="wiki_link_ext" href="http://lumma.org/tuning/faq/#heights" rel="nofollow"&gt;http://lumma.org/tuning/faq/#heights&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:89 --&gt;&lt;/em&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
+&lt;em&gt;See also, discussion at &lt;!-- ws:start:WikiTextUrlRule:104:http://lumma.org/tuning/faq/#heights --&gt;&lt;a class="wiki_link_ext" href="http://lumma.org/tuning/faq/#heights" rel="nofollow"&gt;http://lumma.org/tuning/faq/#heights&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:104 --&gt;&lt;/em&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>