Tenney norm: Difference between revisions
Wikispaces>Omegatron **Imported revision 521734486 - Original comment: ** |
Wikispaces>Omegatron **Imported revision 521784360 - 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 10:17:09 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>521784360</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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|| harmonic seventh || 7/4 || |-2 0 0 1> || log2(28) = 4.807 || | || harmonic seventh || 7/4 || |-2 0 0 1> || log2(28) = 4.807 || | ||
The name //Tenney height// stems from the fact that [[James Tenney]] 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 [[http://www.webcitation.org/6076Lm8r4|Giovanni Battista Benedetti]]. | The name //Tenney height// stems from the fact that [[James Tenney]] proposed it, using the name "harmonic distance". The //Benedetti height//, the product of the numerator and denominator, was first proposed as a consonance measure by the Renaissance scientist and mathematician [[http://www.webcitation.org/6076Lm8r4|Giovanni Battista Benedetti]]. | ||
//See also, discussion at http://lumma.org/tuning/faq/#heights , which defines it as sqrt(n*d) instead//</pre></div> | //See also, discussion at http://lumma.org/tuning/faq/#heights , which defines it as sqrt(n*d) instead//</pre></div> | ||
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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> proposed it. 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> proposed it, using the name &quot;harmonic distance&quot;. 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 /> | ||
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<em>See also, discussion at <!-- ws:start:WikiTextUrlRule:104: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:104 --> , which defines it as sqrt(n*d) instead</em></body></html></pre></div> | <em>See also, discussion at <!-- ws:start:WikiTextUrlRule:104: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:104 --> , which defines it as sqrt(n*d) instead</em></body></html></pre></div> | ||