19 Feb
2024
19 Feb
'24
2:41 p.m.
On Mon, Feb 19, 2024 at 09:21:37AM +0100, Lorenzo Sutton wrote:
On 18/02/2024 21:11, Kevin Zembower wrote:
Good advice.
If you just want to show mathematically defined waveforms then
gnuplot can be useful. For example
gnuplot> set grid
gnuplot> plot [0:12.6] sin(x) + sin(2*x)/2 + sin(3*x)/3 + sin(4*x)/4 + sin(5*x)/5
will show a nice approximation to a sawtooth.
One thing I usually point out to students is that the shape
of a waveform doesn't tell you much about how it will sound.
For example, try
gnuplot> plot [0:12.6] sin(x) + cos(2*x)/2 + cos(3*x)/3 + sin(4*x)/4 + sin(5*x)/5
which sounds just the same as the previous one but looks quite
different.
Ciao,
--
FA
However, we never saw a visual representation of
the combined
waveforms. As a former teacher, I thought it would enhance the lessons
to also visualize the waveform.
I would really recommend (as Dennis already suggested) to use Pure Data (aka
Pd) [1] in the teaching / learning pipeline. While it has a little learning
curve - basic examples like this are quite easy to create and students could
also install it and try out stuff and try 'hacking' the examples.