(not saying you're wrong, but it's not necessarily obvious to me as true. The sound is a vibration/signal, how our brains interpret it may have no correlation to its "shape". Do we have an intuition for "spiky" electromagnetic signals? maybe we do, that's why looking at nature, smooth curves and such, is empirically more relaxing for people than artificial environments..?)
But I guess you were getting at some sort of synaesthesia?
Indeed an interesting question how that is related.
I was referring to waveforms because of the duality with sound
Guess it would have lots of overtones / not a smooth signal curve (Fourier duality)
When we talk about music, layers or tracks or whatever you want to call them always become a thing.
For the sound nerds: A spectrum representation also does not reflect how we experience sound. We humans/animals are so trained or born to distinguish sound sources by timbre. A spectrum analyser splits it on the spectrum of tones, not the spectrum of timbres, therefor it's still not a good representation.
You're able to recognize red, you're unable to tell me it's wavelength (intuitively)
Humans are born with the capability of doing a mechanical Fourier decomposition in our ears. Knowing the amplitude at each frequency, as all humans that can hear do, gives us information about the waveform.
Sensing timbre therefore is information about the waveform. We do not have complete information (e.g. we do not sense all the phase information) but we have approximate information about the time-domain waveform.