This video is a demonstration of Fourier series and harmonics using synthesizers.
I use VCV Rack (https://vcvrack.com/), an open source modular synthesizer software, to show how different waves (sine, sawtooth, square and triangle) sound like, and why.
The detailed calculations are available in this video: • Fourier series of synthesizer waveforms
The "how-to" VCV rack setup video is coming soon!