Tenney norm: Difference between revisions
Wikispaces>Omegatron **Imported revision 521784438 - Original comment: ** |
Wikispaces>Omegatron **Imported revision 521820608 - 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:Omegatron|Omegatron]] and made on <tt>2014-09-11 | : This revision was by author [[User:Omegatron|Omegatron]] and made on <tt>2014-09-11 13:25:09 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>521820608</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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==Examples== | ==Examples== | ||
||~ Interval names ||~ Frequency ratio ||~ ket vector ||~ log2 (Benedetti height) || | ||~ Interval names ||~ Frequency ratio ||~ [[monzo|ket vector]] ||~ log2 (Benedetti height) || | ||
|| prime || 1/1 || |0> || 0 || | || prime || 1/1 || |0> || 0 || | ||
|| octave || 2/1 || |1> || 1 || | || octave || 2/1 || |1> || 1 || | ||
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<th>Frequency ratio<br /> | <th>Frequency ratio<br /> | ||
</th> | </th> | ||
<th>ket vector<br /> | <th><a class="wiki_link" href="/monzo">ket vector</a><br /> | ||
</th> | </th> | ||
<th>log2 (Benedetti height)<br /> | <th>log2 (Benedetti height)<br /> | ||
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The name <em>Tenney height</em> stems from the fact that <a class="wiki_link" href="/James%20Tenney">James Tenney</a> <a class="wiki_link_ext" href="http://www.plainsound.org/pdfs/JC&amp;ToH.pdf" rel="nofollow">proposed it, using the name &quot;harmonic distance&quot;</a> . The <em>Benedetti height</em>, 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>.<br /> | The name <em>Tenney height</em> stems from the fact that <a class="wiki_link" href="/James%20Tenney">James Tenney</a> <a class="wiki_link_ext" href="http://www.plainsound.org/pdfs/JC&amp;ToH.pdf" rel="nofollow">proposed it, using the name &quot;harmonic distance&quot;</a> . The <em>Benedetti height</em>, 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>.<br /> | ||
<br /> | <br /> | ||
<em>See also, discussion at <!-- ws:start:WikiTextUrlRule: | <em>See also, discussion at <!-- ws:start:WikiTextUrlRule:106:http://lumma.org/tuning/faq/#heights --><a class="wiki_link_ext" href="http://lumma.org/tuning/faq/#heights" rel="nofollow">http://lumma.org/tuning/faq/#heights</a><!-- ws:end:WikiTextUrlRule:106 --> , which defines it as sqrt(n*d) instead</em></body></html></pre></div> | ||