I was wondering how it is possible for overtones to co-exist at the same time. When one pulls a string, it starts to oscillate and forms a standing wave with frequency $$f_0 = f$$ Additionally, infinite overtones oscillate at integer multiples of the fundamental frequeny:$$f_n = (n + 1) * f$$ with n being the nth overtone. Since all overtones are essentially standing waves too and standing waves are formed due to reflection and interference, wouldn't the existence of multiple overtones disturb the wave?
And not only overtones but any disturbance like interfering waves from the environment, wouldn't they hinder the creating of standing waves? And lastly (from a physical standpoint) why has the fundamental frequency the greatest amplitude?