Part of me wonders if the sound variation comes from the rate of boiling hotdog flesh splattering or from the wire below it, which is basically a coil, vibrating under varying Lorentz forces.
The only reason I know is I've seen music reproduced that way with tesla coils(check John William's Star Wars theme on YT). This is a cool example too: https://www.youtube.com/watch?v=DBukpYea4mQ
It's really cool the kind of fidelity they can get out of those. The whole premise of the hotdog now got me thinking how does an arc produce sound? I think I may have it. You have ionized air directly responding to the voltage differential as acceleration. So as that voltage differential changes so too does the acceleration of the air which is basically the definition of a sound wave. I guess it makes sense that it has such good fidelity because they are directly applying those accelerations to air at the correct amount instead of dealing with speaker cone material, and solenoid response, and several layers of energy transfer where you need good impedance matching at every frequency and at every interface to avoid effects on tone.
I guess it makes sense that it has such good fidelity because they are directly applying those accelerations to air at the correct amount instead of dealing with speaker cone material, and solenoid response, and several layers of energy transfer where you need good impedance matching at every frequency and at every interface to avoid effects on tone.