Klarinet Archive - Posting 000193.txt from 2010/08

From: Diego Casadei <casadei.diego@-----.com>
Subj: Re: [kl] About clarinet acoustics
Date: Tue, 17 Aug 2010 04:15:39 -0400

Tony Pay wrote:
>
> The fact remains, if I understand things correctly now, that having cylindricality is the only way that Diego's calculation method works.

No. What I did is to use the well known relation

wavelength * frequency = sound velocity

and the known dependency of the sound velocity on the air temperature.
I did not account for the effective horn extension out of the bell, and
my computation does not make any assumption on the shape of the pipe.

Unless the sound velocity is different inside the clarinet pipe, which I
found no indication for in my readings, the formula above gives the
correct wavelength.

My frequency measurement can be off by 1-2 Hz (I have a cheap tuner),
which is at most a 0.4% change in the wavelength. A whole degree
Celsius uncertainty on the air temperature (which is incredibly
exaggerated in my case) would give a maximum change of 0.3% in the
wavelength. Together, they would give a maximum tolerance of 3 mm to my
measurement, which is much smaller than the distance to the vibrating reed.

Cheers,
Diego

--

Diego Casadei
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Physics Department, CERN
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