A minor terminology quibble: the video refers to the Nth harmonic as if it's the fundamental frequency times N+1, but it's usually fairly standard to refer to the frequency that's N times the fundamental as the Nth Harmonic. So, the fundamental is the 1st harmonic.
For overtones, there's less of an established standard, but usually the 1st overtone is twice the fundamental, the 2nd overtone is 3x, and so on. (I tend to avoid talking in terms of overtones because of the ambiguity.)
My favorite part of the video is when Stéphane “makes a mistake” and shows it, like enlightened people, such as Cliff Stoll — https://www.youtube.com/watch?v=9yUZTTLpDtk — do :)
If you have an analog oscilloscope, it's really cool to put a guitar signal into it, you can play an open string and see all its harmonics, then play a harmonic and you just see the one harmonic.
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[ 3.1 ms ] story [ 30.0 ms ] threadFor overtones, there's less of an established standard, but usually the 1st overtone is twice the fundamental, the 2nd overtone is 3x, and so on. (I tend to avoid talking in terms of overtones because of the ambiguity.)