Ravi Shankar, the sitar virtuoso and composer who died on Tuesday at 92, created a passion among Western audiences for the rhythmically vital, melodically flowing ragas of classical Indian music — a fascination that had expanded by the mid-1970s into a flourishing market for world music of all kinds.

In particular, his work with two young semi-apprentices in the 1960s — George Harrison of the Beatles and the composer Philip Glass, a founder of Minimalism — was profoundly influential on both popular and classical music.

And his interactions throughout his career with performers from various Asian and Western traditions — including the violinist Yehudi Menuhin, the flutist Jean-Pierre Rampal and the saxophonist and composer John Coltrane — created hybrids that opened listeners’ ears to timbres, rhythms and tuning systems that were entirely new to them....