I have some questions for you about the resonance phenomenon in a guitar:
Why resonance frequency are only full integer multiples of the natural frequency, such as 2 x, 3 x, or 4 x or 3 x, 5 x, or 7 the natural frequency?
Why a vibrating string tend to vibrate at the natural resonant frequency(x1) and not x2 or x3?
Is it true that in a perfect world, in a string of a guitar the resonance frequencies(x1,x2,x3,x4,ecc...) will never die out? Why non-integer multiples, otherwise, will die out?