Posted by Rick Denney on August 27, 2003 at 19:00:45:
In Reply to: Re: Question for you scientific types. posted by jeff on August 27, 2003 at 17:49:13:
Arthur Benade understood real musical instruments, and worked with real musicians in his experiments. His book "The Fundamentals of Musical Acoustics" is a standard reference and I find it quite realistic to instruments, if a bit skewed in the trumpet direction.
Of particular interest is his understanding of the shape of the conic as being describe by a Bessel function.
If you want more mathematics and theory, but still with a realistic understanding of actual instruments, take a look at Fletcher and Rossing, The Physics of Musical Instruments. Ken Sloan suggests this is graduate-school stuff, but I'm 20 years away from grad school and could follow it well enough to understand what was going on. Benade's Horns, Strings, and Harmony is a bit basic for this discussion.
Rick "who agrees that impedance is the fundementally important concept" Denney