hey can someone please quickly explain to me what overtones are?
As far as I understand if we have a string of length $\delta$ fixed at both sides then there is the fundamental frequency $\nu$ then the wavelength $\lambda = 2*\delta$. If we now suppose an arbitrary standing wave we can write it as a fourrier series being the infinite harmonics, e.g. those frequencies being a integer multiple of the fundamental.
I heard from some sources I don't really trust, that the overtones are part of the set of the resonant frequencies, but I don't understand how adding a frequency not being a integer…