Grammy-nominasjoner: Best Jazz Instrumental Performance - Big Band: 1976 (), 1977 (), 1978 (), 1979 (), 1980 (), 1981 (), 1984 (), 1985 (), 1992 (), 1994 (). Best Arrangement on an Instrumental: 1981 (for "A Bit Byas'd"), 1983 (for "Remembering Bud"), 1985 (for "March of the Tadpoles"), 1994 (for "Bebop").