| 1943 | Concert núm. 1 per a trompa i orquestra | TBD | 22' |
| 1944 | Six Early Songs | TBD | 18' |
| 1945 | Concert per a violoncel i orquestra | Confirmat | 18' |
| 1945 | Vertige d’Eros | TBD | 14' |
| 1947 | Symphonic Study | TBD | 9' |
| 1948 | Jumpin’ in the Future | TBD | 5' |
| 1950 | Simfonia per a metalls i percussió | Confirmat | 18' |
| 1951 | Obertura Dramatic | Confirmat | 9' |
| 1954 | Recitative and Rondo | Confirmat | 11' |
| 1956 | Transformation | TBD | 6' |
| 1957 | Fantasia petita | TBD | 4' |
| 1958 | Spectra | Confirmat | 23' |
| 1959 | Set estudis sobre temes de Paul Klee | Confirmat | 20' |
| 1960 | Lines and Contrasts | TBD | 10' |
| 1960 | Variants | Confirmat | 18' |
| 1960 | Variants sobre un tema de Thelonious Monk | TBD | 15' |
| 1961 | Contrasts per a quintet de vent i orquestra | Confirmat | 15' |
| 1961 | Double Quintet per a Wind i metalls Quintets | Confirmat | 12' |
| 1962 | Automation (music for a real or imagined banda sonora) | Confirmat | 7' |
| 1962 | Concert per a piano núm. 1 | Confirmat | 22' |
| 1962 | Journey into Jazz | TBD | 15' |
| 1962 | Journey to the Stars | Confirmat | 15' |
| 1962 | Movements | Confirmat | 14' |
| 1962 | Six Renaissance Lyrics | Confirmat | 15' |
| 1963 | Composition in Three Parts | TBD | 16' |
| 1963 | Meditation for Banda simfònica | TBD | 6' |
| 1963 | Threnos | Confirmat | 18' |
| 1964 | Diptych per a quintet de metalls i Banda simfònica | TBD | 8' |
| 1964 | Diptych per a quintet de metalls i orquestra | TBD | 8' |
| 1964 | Cinc bagatel·les | TBD | 14' |
| 1964 | Five Shakespearean Songs | TBD | 15' |
| 1965 | American Triptych | Confirmat | 14' |
| 1965 | Simfonia | Confirmat | 22' |
| 1966 | Concert per a orquestra núm. 1 [Gala Music] | Confirmat | 25' |
| 1966 | Cinc estudis | Confirmat | 14' |
| 1966 | Cantata sacra (Psalm 98) · cor | Confirmat | 19' |
| 1966 | Study in Textures for Banda simfònica | TBD | 7' |
| 1966 | The Visitation · òpera · cor | TBD | — |
| 1967 | Tear Drop | TBD | 12' |
| 1967 | Triplum I | Confirmat | 17' |
| 1968 | Concert per a Doublebass i orquestra de cambra | Confirmat | 16' |
| 1968 | Fanfara for St. Louis | TBD | 6' |
| 1969 | Consequents | Confirmat | 17' |
| 1969 | Shapes and Designs | Confirmat | 14' |
| 1970 | Museum Piece per a Renaissance Instruments i orquestra | TBD | 19' |
| 1970 | The Fisherman and His Wife · òpera | TBD | 60' |
| 1970 | The Visitation, Suite from the Opera | Confirmat | 41' |
| 1971 | A Medieval Christmas | TBD | 46' |
| 1971 | Concertino da camera | Confirmat | 16' |
| 1971 | The Power Within Us, Oratori · cor | Confirmat | 25' |
| 1972 | Capritx Stravagante | Confirmat | 19' |
| 1972 | Poems of Time and Eternity · cor | Confirmat | 13' |
| 1972 | Tre invenzioni for Chamber Ensembles | TBD | 18' |
| 1973 | Tres nocturns | Confirmat | 15' |
| 1975 | Concert per a trompa núm. 2 | Confirmat | 17' |
| 1975 | Four Soundscapes [Hudson Valley Reminiscences] | TBD | 15' |
| 1975 | Triplum II [Three Lyric Pieces for Instrumental Trios] | Confirmat | 20' |
| 1976 | Concert per a orquestra núm. 2 | Confirmat | 22' |
| 1976 | Concert per a violí | TBD | 22' |
| 1978 | Concert per a contrafagot | Confirmat | 23' |
| 1978 | Deaï (Encounters) | TBD | 35' |
| 1979 | Concert per a trompeta | TBD | 22' |
| 1979 | Octet | Confirmat | 40' |
| 1980 | Eine Kleine Posaunenmusik | TBD | 16' |
| 1980 | Music for a Celebration · cor | TBD | 6' |
| 1981 | Concert per a piano núm. 2 | Confirmat | 30' |
| 1981 | In Praise of Winds, Simfonia per a Large banda simfònica | TBD | 25' |
| 1983 | Concert per a contralt saxòfon | Confirmat | 19' |
| 1984 | Concert Festivo per a quintet de metalls i orquestra | Confirmat | 20' |
| 1984 | Concert Quaternio per a Four Solo Instruments i Four Orchestral Groups | TBD | 20' |
| 1984 | Jubilee Music | Confirmat | 24' |
| 1985 | Concert per a fagot i orquestra [Eine Kleine Fagottmusik] | Confirmat | 22' |
| 1985 | Concert per a viola | Confirmat | 18' |
| 1985 | Farbenspiel [Concerto per a orquestra núm. 3] | Confirmat | 25' |
| 1987 | Thou Art the Son of God · cor | Confirmat | 10' |
| 1988 | Chimeric Images | Confirmat | 15' |
| 1988 | Concert per a flauta i orquestra | Confirmat | 16' |
| 1988 | Concert per a String Quartet i orquestra | TBD | 22' |
| 1989 | Simfonia de cambra | Confirmat | 14' |
| 1989 | On Winged Flight | TBD | 13' |
| 1989 | The Trial | Confirmat | 20' |
| 1990 | Concert per a piano Three Hands (dos pianos i orquestra de cambra) | Confirmat | 25' |
| 1990 | Hommage à Rayechka | TBD | 8' |
| 1990 | Song and Dance | TBD | 16' |
| 1991 | Concert per a violí núm. 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 | Concert per a orgue i orquestra | Confirmat | 15' |
| 1994 | Headin’ Out, Movin’ In | TBD | 12' |
| 1994 | Lament for M | Confirmat | 6' |
| 1994 | Mondrian’s Vision · cor | TBD | 15' |
| 1994 | The Past is in the Present | Confirmat | 25' |
| 1996 | An Arc Ascending | Confirmat | 9' |
| 1997 | Blue Dawn into White Heat | TBD | 10' |
| 1997 | Bright and Sassy | TBD | 6' |
| 1998 | The Black Warrior · cor | TBD | 25' |
| 2002 | Concert da camera núm. 2 | TBD | 23' |
| 2003 | Encounters | TBD | 23' |
| 2005 | Grand Concerto per a percussió i Keyboards | Confirmat | 23' |
| 2007 | Where the Word Ends | Confirmat | 25' |
| 2008 | Concert per a tuba i orquestra núm. 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 | TBD | — |