Faraj Garayev was born on December 19, 1943 in Baku. In 1966, Garayev graduated from the Azerbaijan State Conservatoire, specialising in music composition, taught by his father Gara Garayev. In 1971, he finished his post-graduate studies. From 1966 to 2003, he taught composition, instrumentation and polyphony at the Azerbaijan State Conservatoire and from 1994 he has been a professor there. From 1991, he has been living in Baku and Moscow. In 1991, he became professor of the faculty of music theory at the Moscow State Conservatoire. In 2003, he became professor of composition the faculty of the Kazan State Conservatoire. From 1994 to 1996, Faraj Garayev was vice-president of the Moscow Association of Modern Music and from 1995, he has been the president of the Yeni Musiqi Union of Modern Music established in Baku. Faraj Garayev was art director of BaKaRa-ENSEMBLE (Baku) in 1980-1994. In 1991-1992, he was scholar of A.Krupp cultural Foundation (Essen, Germany).

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