| 1943 | Concerto No. 1 for Horn and Orchestra | nedet. | 22' |
| 1944 | Six Early Songs | nedet. | 18' |
| 1945 | Concerto for Cello and Orchestra | Confirmat | 18' |
| 1945 | Vertige d’Eros | nedet. | 14' |
| 1947 | Symphonic Study | nedet. | 9' |
| 1948 | Jumpin’ in the Future | nedet. | 5' |
| 1950 | Symphony for Brass and Percussion | Confirmat | 18' |
| 1951 | Dramatic Overture | Confirmat | 9' |
| 1954 | Recitative and Rondo | nedet. | 11' |
| 1956 | Transformation | nedet. | 6' |
| 1957 | Little Fantasy | nedet. | 4' |
| 1958 | Spectra | Confirmat | 23' |
| 1959 | Seven Studies on Themes of Paul Klee | Confirmat | 20' |
| 1960 | Lines and Contrasts | nedet. | 10' |
| 1960 | Variants | Confirmat | 18' |
| 1960 | Variants on a Theme of Thelonious Monk | nedet. | 15' |
| 1961 | Contrasts for Wind Quintet and Orchestra | Confirmat | 15' |
| 1961 | Double Quintet for Wind and Brass Quintets | Confirmat | 12' |
| 1962 | Automation (music for a real or imagined film score) | Confirmat | 7' |
| 1962 | Concerto for Piano No. 1 | Confirmat | 22' |
| 1962 | Journey into Jazz | nedet. | 15' |
| 1962 | Journey to the Stars | Confirmat | 15' |
| 1962 | Movements | nedet. | 14' |
| 1962 | Six Renaissance Lyrics | Confirmat | 15' |
| 1963 | Composition in Three Parts | nedet. | 16' |
| 1963 | Meditation for Concert Band | nedet. | 6' |
| 1963 | Threnos | Confirmat | 18' |
| 1964 | Diptych for Brass Quintet and Concert Band | nedet. | 8' |
| 1964 | Diptych for Brass Quintet and Orchestra | nedet. | 8' |
| 1964 | Five Bagatelles | nedet. | 14' |
| 1964 | Five Shakespearean Songs | nedet. | 15' |
| 1965 | American Triptych | Confirmat | 14' |
| 1965 | Symphony | Confirmat | 22' |
| 1966 | Concerto for Orchestra No. 1 [Gala Music] | Confirmat | 25' |
| 1966 | Five Etudes | Confirmat | 14' |
| 1966 | Sacred Cantata (Psalm 98) · cor | Confirmat | 19' |
| 1966 | Study in Textures for Concert Band | nedet. | 7' |
| 1966 | The Visitation · operă · cor | nedet. | — |
| 1967 | Tear Drop | nedet. | 12' |
| 1967 | Triplum I | Confirmat | 17' |
| 1968 | Concerto for Doublebass and Chamber Orchestra | Confirmat | 16' |
| 1968 | Fanfare for St. Louis | nedet. | 6' |
| 1969 | Consequents | Confirmat | 17' |
| 1969 | Shapes and Designs | Confirmat | 14' |
| 1970 | Museum Piece for Renaissance Instruments and Orchestra | nedet. | 19' |
| 1970 | The Fisherman and His Wife · operă | nedet. | 60' |
| 1970 | The Visitation, Suite from the Opera | Confirmat | 41' |
| 1971 | A Medieval Christmas | nedet. | 46' |
| 1971 | Concertino da camera | Confirmat | 16' |
| 1971 | The Power Within Us, Oratorio · cor | Confirmat | 25' |
| 1972 | Capriccio Stravagante | Confirmat | 19' |
| 1972 | Poems of Time and Eternity · cor | Confirmat | 13' |
| 1972 | Tre invenzioni for Chamber Ensembles | nedet. | 18' |
| 1973 | Three Nocturnes | Confirmat | 15' |
| 1975 | Concerto for Horn No. 2 | Confirmat | 17' |
| 1975 | Four Soundscapes [Hudson Valley Reminiscences] | nedet. | 15' |
| 1975 | Triplum II [Three Lyric Pieces for Instrumental Trios] | Confirmat | 20' |
| 1976 | Concerto for Orchestra No. 2 | Confirmat | 22' |
| 1976 | Concerto for Violin | nedet. | 22' |
| 1978 | Concerto for Contrabassoon | Confirmat | 23' |
| 1978 | Deaï (Encounters) | nedet. | 35' |
| 1979 | Concerto for Trumpet | nedet. | 22' |
| 1979 | Octet | Confirmat | 40' |
| 1980 | Eine Kleine Posaunenmusik | nedet. | 16' |
| 1980 | Music for a Celebration · cor | nedet. | 6' |
| 1981 | Concerto for Piano No. 2 | Confirmat | 30' |
| 1981 | In Praise of Winds, Symphony for Large Wind Orchestra | nedet. | 25' |
| 1983 | Concerto for Alto Saxophone | Confirmat | 19' |
| 1984 | Concerto Festivo for Brass Quintet and Orchestra | Confirmat | 20' |
| 1984 | Concerto Quaternio for Four Solo Instruments and Four Orchestral Groups | nedet. | 20' |
| 1984 | Jubilee Music | Confirmat | 24' |
| 1985 | Concerto for Bassoon and Orchestra [Eine Kleine Fagottmusik] | Confirmat | 22' |
| 1985 | Concerto for Viola | Confirmat | 18' |
| 1985 | Farbenspiel [Concerto for Orchestra No. 3] | Confirmat | 25' |
| 1987 | Thou Art the Son of God · cor | Confirmat | 10' |
| 1988 | Chimeric Images | Confirmat | 15' |
| 1988 | Concerto for Flute and Orchestra | Confirmat | 16' |
| 1988 | Concerto for String Quartet and Orchestra | nedet. | 22' |
| 1989 | Chamber Symphony | Confirmat | 14' |
| 1989 | On Winged Flight | nedet. | 13' |
| 1989 | The Trial | Confirmat | 20' |
| 1990 | Concerto for Piano Three Hands (Two Pianos and Chamber Orchestra) | Confirmat | 25' |
| 1990 | Hommage à Rayechka | nedet. | 8' |
| 1990 | Song and Dance | nedet. | 16' |
| 1991 | Concerto for Violin No. 2 | Confirmat | 26' |
| 1992 | And They All Played Ragtime | Confirmat | 20' |
| 1992 | Festive Music | Confirmat | 4' |
| 1993 | Of Reminiscences and Reflections | Confirmat | 20' |
| 1993 | Ritmica-Melodica-Armonia | Confirmat | 15' |
| 1994 | Concerto for Organ and Orchestra | Confirmat | 15' |
| 1994 | Headin’ Out, Movin’ In | nedet. | 12' |
| 1994 | Lament for M | Confirmat | 6' |
| 1994 | Mondrian’s Vision · cor | nedet. | 15' |
| 1994 | The Past is in the Present | Confirmat | 25' |
| 1996 | An Arc Ascending | Confirmat | 9' |
| 1997 | Blue Dawn into White Heat | nedet. | 10' |
| 1997 | Bright and Sassy | nedet. | 6' |
| 1998 | The Black Warrior · cor | nedet. | 25' |
| 2002 | Concerto da camera No. 2 | nedet. | 23' |
| 2003 | Encounters | nedet. | 23' |
| 2005 | Grand Concerto for Percussion and Keyboards | Confirmat | 23' |
| 2007 | Where the Word Ends | Confirmat | 25' |
| 2008 | Concerto for Tuba and Orchestra No. 2 | Confirmat | 20' |
| 2010 | Bagatelle: With Swing | Confirmat | 3' |
| 2012 | Dreamscape | Confirmat | 12' |
| 2012 | Symphonic Images | Confirmat | 16' |
| 2013 | Games | Confirmat | 10' |
| 2014 | Magical Trumpets | nedet. | — |