Teaching tool to visualize waveforms?

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Hello, all,

I'm talking an Introduction to Audio Processing course at our local
community college. In our third class, the instructor presented
visually waveforms, using Apple ProTools, and we listened as they
combined.

The examples showed equal frequency waves with a phase delay, showing
cancellation and amplification. We also listened to the beats of waves
at frequencies like 440 and 445 or 450Hz. Finally we listened to pure
sine wave, then the wave with 2nd, 3rd, 4th, 5th, etc. harmonics.

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 think this could be done in Audacity, by mixing the waveforms to a
final track, and viewing it. However, I think this would be somewhat
clumsy. I also think that I could do this in GNU Radio, with mixing
nodes and oscilloscope displays.

Can anyone suggest a tool that would allow visualization of waveforms
based on combined sine waves? My ideal setup would allow sliders to
change the parameters, say, the phase delay, or frequency difference,
in real time, and continuously display the combined waveform.

Any thoughts or guidance is appreciated. Thanks for your advice.

-Kevin
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