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The idea that melodies, or at least an approximation accurate to within a few cents, can be embedded into a harmonic context. Yet in western art music, it took centuries for this to go from technically achievable but unthinkable to experimental to routine.
Medieval sacred music was a special case in many ways. We have some records (albeit comparatively scant ones) of secular/folk music from pre-Renaissance times, and it was a lot more tonally structured (a more meaningful term than "harmonic") than that.