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Blumenthal has won prizes in several competitions, including the Sydney International Piano Competition, (1981, 4th prize and winner of the Musica Viva Chamber Music prize); the Leeds International Piano Competition, (1981, 4th prize); the Geneva International Music Competition, (1982, 2nd prize); the Busoni Competition (1982, 3rd prize), and the Queen Elisabeth Music Competition, (1983, 4th prize).