Klarinet Archive - Posting 000342.txt from 2000/08

From: Bill Hausmann <bhausmann1@-----.com>
Subj: Re: [kl] Unloading.....
Date: Mon, 14 Aug 2000 18:10:39 -0400

At 08:27 AM 8/14/2000 -0700, William Wright wrote:
> ... The next step in the argument is that, mathematically, each of the
>'component' sine waves (that make up a more complex sound wave) can be
>described completely with just two numbers. One number describes the
>amplitude, and the other number describes the phase. It turns out that
>-- again, so long as we're discussing only sine waves -- all possible
>elaborations on the fundamental tone A=440 can be described completely
>and accurately with a collection of 50 two-number 'components'. If you
>move an octave higher to A@-----. If
>you move an octave lower to A=220, then you need 100 components in order
>to cover all the possibilities.
> Again, slight wavering pitch and amplitude and phase and departures
>from pure sine wave add to the 'beauty' of good music; but if you accept
>the basic assertion that sine wave math still applies, then by simple
>mathematic necessity, you must accept that all musical tones converge
>towards sameness as the pitch increases.
>
Would not part of the reason that the higher tones seem less rich simply be
that the higher overtones (partials) while still present, exceed our
frequency limits to hear them, making the fundamental so much more
prominent relatively that it is difficult to distinguish one instrument's
tone from another.?

Bill Hausmann NEW ADDRESS: bhausmann1@-----.com
451 Old Orchard Drive http://homepages.go.com/~zoot14/zoot14.html
Essexville, MI 48732 ICQ UIN 4862265

If you have to mic a saxophone, the rest of the band is too loud.

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