Right. So I just fired up Cubase, imported an audio track, dialed in the 
BPM I found from that website, and listened to the click track against 
the recording.

Except for some phase-alignment problems, and the click track gradually 
going out of phase, the BPM readings I had were very, very close to 
being correct. Close enough that it's difficult to figure out whether 
they're too high or too low.

In other words, the trivial algorithm the website uses already produces 
really very accurate measurements. Nothing to fix here. (Unless you 
actually wanted beat-perfect matching, rather than a general estimate of 
speed...)

-- 
http://blog.orphi.me.uk/
http://www.zazzle.com/MathematicalOrchid*

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