A drum is a good example, though we don't often think of it as a melodic instrument. The resonant modes of a drum don't look anything like someting as nice as those of strings, with their integer multiple frequencies. Makes you wonder, what music might have been like if our ear was more "drum-based" than "string-based" (however that might work).
Music already "is" something different! not all music is western. One of the most strikingly different kinds of music (besides synthesized stuff) is gamelan music, which is performed on a set of non-harmonic bells, which sound consonantly at non-integer intervals.
Thanks! I've been listening to gamelan music for the past couple of hours now, and have thoroughly enjoyed the experience. From my limited exposure, I get the impression that the music leans on repetition of sound patterns to give the listener something to hold onto musically, creating more of an atmosphere of sound than a melody you might hum along to. Is that fair to say? Perhaps I just need more exposure before things "click".
I might compare this non-harmonic genre with the artist Sevish, whose work I've enjoyed a great deal. He too tries to step out of the realm of 12-tone equal temperament. Some of his work is quite reminiscent in structure to this gamelan music (e.g. Desert Island Rain). However, he also manages to build melodies and something you could probably call chord progressions (though I wouldn't know), in a new and very foreign musical world (his entire album Harmony Hacker is amazing). Besides the music being amazing, getting used to this new landscape is enjoyable in and of itself.
My point about the drums, though, was more aimed at what scales, chord progressions and melodies might be developed by a species who had as harmonic basis the drum's spectrum of resonant frequencies. We, by comparison, have the integer multiple of some base frequency, the canonical "harmonic sequence", whereas for them it would be quite different:
https://en.wikipedia.org/wiki/Vibrations_of_a_circular_membr...
