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.)

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reactordev 4 hours ago | parent | next [-]

I think that makes it easier for those who are math brained and not creative brained. To understand music theory fully, you need that creative brain. Because we aren’t even talking about resonance harmonics, triplen, or any of the crazy interharmonics.

edit

actually watching again, at the very beginning, he demonstrated resonance harmonics.

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Rochus 5 hours ago | parent | prev [-]

> that's N times the fundamental as the Nth Harmonic

It's not actually "N times", isn't it?

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elihu 3 hours ago | parent [-]

If the fundamental is 100hz, then the 1st harmonic is the fundamental (100hz), the 2nd harmonic is 200hz, the 3rd harmonic is 300hz, and so on.

Sometimes the harmonics aren't exact. On a piano, if the fundamental is 100hz then the 2nd harmonic might be, say, 200.1hz or something. Some inharmonic instruments like gongs aren't anywhere close to the "ideal" harmonic series.

	▲	TheOtherHobbes an hour ago \| parent \| next [-]
		Membranes have a harmonic series in two axes - kind of. They have complex (not that kind of complex, although it also is, in a way) modes on a constrained surface which are calculated with Bessel functions. In three dimensions you get atomic orbitals.
	▲	dsego 3 hours ago \| parent \| prev \| next [-]
		Piano is even tuned with stretched tuning to match the harmonics better.
	▲	leephillips an hour ago \| parent \| prev [-]
		This may be overly pedantic (even more so than your correct comments about numbering harmonics and overtones), but in this case the overtones are not harmonics, which, as you say, are by definition multiples of the fundamental frequency (“harmonic series” is a mathematical term). That’s why gongs are “inharmonic”: they have an overtone series that is not a series of harmonics.