Tuning Timbre Spectrum Scale

This is an interesting premise.

The timbre of instruments largely due to the harmonics that they exhibit, and for natural instruments these tend to be simple whole number ratios that we replicate in our scales in just temperament, and approximate more flexibly in equal temperament.

I had never considered what scales a synthetic sound with unfamiliar harmonics would sound best in.

Edit: Not even synthetic instruments, but Gamelan instruments too! Oh so cool, I've seen many Gamelan performances and its very exciting as a musician to hear such a rich and different paradigm.