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| = ARCHIVED WIKISPACES DISCUSSION BELOW =
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| '''All discussion below is archived from the Wikispaces export in its original unaltered form.'''
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| == Contradiction ==
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| http://www.plainsound.org/pdfs/JC&ToH.pdf gives Tenney's "harmonic distance" as
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| <ul class="quotelist"><li>HD(fa, fb) ∝ log(a) + log(b) = log(ab)</li></ul>
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| where a/b is the frequency ratio fa/fb in simplified form:
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| <ul class="quotelist"><li>a = fa /gcd(fa, fb), b = fb /gcd(fa, fb), and a ≥ b</li></ul>
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| http://lumma.org/tuning/faq/#heights defines it as sqrt(n*d), which is not the same.
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| sqrt(100*7) = 26.45
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| log2(100*7) = 9.45
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| - '''Omegatron''' September 11, 2014, 07:33:46 AM UTC-0700
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| Tenney *harmonic distance* is not Tenney *height*, which is the topic of this page. My FAQ defines Tenney height as a*b. It says Tenney height is *generalized* to geomean(a*b*c...).
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| On this wiki, a*b is called Benedetti height. The name was changed after my FAQ was written, since Benedetti had priority.
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| - '''clumma''' February 06, 2015, 08:19:12 PM UTC-0800
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