Re: Sound and Mathematica
- To: mathgroup at smc.vnet.net
- Subject: [mg19779] Re: Sound and Mathematica
- From: "Stephen P Luttrell" <luttrell at signal.dra.hmg.gb>
- Date: Fri, 17 Sep 1999 01:36:38 -0400
- Organization: Defence Evaluation and Research Agency
- References: <7rnjrt$ekp@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
> I've a problem with mathematica: I want to create a sound which
> includes all frequencies between 20 Hz and 20 000 Hz. The sound should
> begin at 20 Hz and stop at 20 000 Hz and should increase linearly. For
> testing it, I used the following mathematica command (20 - 4000 Hz):
> (Later I want to replace 4000 by 20 000)
>
> Play[Sin[4000 t 2 Pi t], {t, 0, 1}]]
>
> But the frequency, on which this generated sound stops was much more
> higher than 4000 Hz! What's my mistake?
Frequency is the instantaneous rate of change of phase, divided by 2 Pi.
Differentiating your 4000 t 2 Pi t with respect to t (and dividing by 2 Pi)
gives 2 4000 t, which is equal to 8000 when t=1. To correct for this, you
need to include an additional factor of 1/2 in your original expression for
the phase.
--
Dr Stephen P Luttrell
Room EX21, Defence Evaluation and Research Agency
Malvern, Worcs, WR14 3PS, U.K.
luttrell at signal.dera.gov.uk
01684-894046 (phone), 01684-894384 (fax)
http://www.dera.gov.uk/cis5pip/Welcome.html