To me the individual notes sound fine and usually normal-ish (except for the really extended ones), but I have difficulty hearing the overall tune? Or, it sounds like there are parts of a tune with other parts on top which I don’t hear how they fit?

I think a clearer demonstration might be to have a side by side comparison of a fairly simple tune in 12TET vs in this dynamical tuning.

Agreed! I’m not hearing a very definable or memorable melody or harmony. The synth sounds chosen are kind of grating, which doesn’t help. I’d love to hear something more coherent in this sort of tuning to get a better understanding of it.

It really is kool. However, I have the feeling you can transport only a very limited range of emotions with it as we are accustomed to certain harmonics I guess.

Still, it's kinda like alien music and it's certainly creative.