In a non-EM context, consider the overtone content of actual musical instruments. Overtones are the higher-frequency tones in a musical note, and are not necessarily harmonics.
For one-dimensional instruments, such as vibrating strings and narrow organ pipes, the overtones will be very close to harmonics (integer multiples of a fundamental).
For two-dimensional instruments, such as the kettle drum, the overtones are not harmonic.
See http://circularscience.com/about-drums for a discussion of overtones from a circular diaphragm.
Quite so. My understanding is that the vibrations emanating from one or two dimension sources when striking the ear membrane assume
a characteristic head setting ear membrane in to and fro motion ie towards interior( to wards middle ear) and outwards (towards the ear passage), which again is a replica of simple harmonic motion,and the membrane converts wave form to mechanical energy for transmission to internal ear.
To generalize I would say that range of audible frequencies from 64 to just about 4096 c/s (general terms) is so perceived
Now each of these instruments have 'character' of its own so that even with eyes closed one would name the source.
So violin, or drums, or harmonica, being some examples of string,percussion and reed instruments reveal their nature to the listener.
My question is what is the basis of individuality of each of these instrument as is distinguished by the hearer?
Conceeded that the output of strings have no recource to internal reflection as have pipe instruments producing over tones, yet
ear separates them.
My idea is that the head of the wave form and its shape striking the ear membrane has role in it.
What then, is the physical nature of that wave form?
Here I may have some what deviated from main topic but even at the risk of cross purpose, perceiving your musical proclivity, I
feel encouraged to invite your attention.