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