At a glance, this looks like a bunch of coupled oscillators. A natural extension of this idea is strings: a 1d array of oscillators modelling a wave equation. For example, a piano sound can be modelled by attaching a basic oscillator to one end of a string and a mic to the other end of the string. The string and the oscillator push each other, creating the piano tone. Real pianos use 3 such string with different properties.
Another idea. What if you make a circular string and attach 1 or more oscillators at random points? Same idea as above, but more symmetric. This "sound ring" instrument may produce unreal sounds.