Klarinet Archive - Posting 000368.txt from 2000/08

From: Roger Shilcock <roger.shilcock@-----.uk>
Subj: Re: [kl] Unloading.....
Date: Tue, 15 Aug 2000 04:19:34 -0400

It seems to be a basic fact about real tubes that the note produced form
the full length of the tube is richer in overtones than any of those
produced from partial tube lengths, and the shorter the tube length, the
the less "rich" the overtone content.
No doubt someone will explain this.
Roger S.

On Mon, 14 Aug 2000, Bill Hausmann wrote:

> Date: Mon, 14 Aug 2000 18:10:39 -0400
> From: Bill Hausmann <bhausmann1@-----.com>
> Reply-To: klarinet@-----.org
> To: klarinet@-----.org
> Subject: Re: [kl] Unloading.....
>
> 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.
>
> ---------------------------------------------------------------------
> Unsubscribe from Klarinet, e-mail: klarinet-unsubscribe@-----.org
> Subscribe to the Digest: klarinet-digest-subscribe@-----.org
> Additional commands: klarinet-help@-----.org
> Other problems: klarinet-owner@-----.org
>
>

---------------------------------------------------------------------
Unsubscribe from Klarinet, e-mail: klarinet-unsubscribe@-----.org
Subscribe to the Digest: klarinet-digest-subscribe@-----.org
Additional commands: klarinet-help@-----.org
Other problems: klarinet-owner@-----.org