pablolie wrote: 
> But... how are "squarewaves of any frequency" relevant to music
> reproduction? 

The aren't. There's an old saying among people who analyze dynamic
systems which I learned from a grizzed old pH D back when I was a buck
engineer. He said "The universe is well analyzed as if it were composed
of interconnected second order differential equations."  The point is
that writing and solving second order differential equations is
relatively easy if you stayed awake during your calculus and physics
classes and did your homework, so if you know how to do that, the world
is your oyster. We proved it by modeling the front end structure of an
automobile, and comparing the movement and velocities produced by our
model those measured in a real car crashing into a concrete barrier.

The point is that acoustical musical instruments follow the same basic
laws of physics. One of the properties of the kind of equations you
generally end up writing is that their response always ends up falling
off in a 12 dB/octave roll off. Thus, if you look at a recording of any
real world musical instrument, its bandwidth always ends up rolling off
at some frequency. In the case of cymbals, that frequency is usually on
the order of 7-12 KHz, so their bandwidth is always concentrated in the
audio range.

If you think about it, one ot the things that makes a musical instrument
more playable is putting out a fair amount of noise in the audio band
whith a reasonable energy input, especially in the bands around 2-4 KHz
where the ear is most sensitive.


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