ARCHIVED WIKISPACES DISCUSSION BELOW
Please do not add any new discussion to this archive page.
All new discussion should go on Talk:Tenney Height.
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