He won his fifth Grammy, for best classical crossover album, for “Hornsmoke” (1998), which includes his “Horse Opera for Brass Quintet,” Piano Concerto No. 2 and other serious compositions.
Mr. Schickele’s classic recordings also include Quartet No. 1, “American Dreams,” of the Audubon Quartet; “Schickele on a Lark,” by the Lark Quartet; and “The American Chamber Ensemble plays Peter Schickele.”
He wrote the music for the 1972 science fiction film “Silent Running,” starring Bruce Dern. Along with Robert Dennis and Stanley Walden, he also contributed songs to the Broadway revue “Oh! Calcutta!
Mr. Schickele and his wife, who survives him, split their time between homes on Manhattan’s Upper West Side and in Bearsville. Besides her and their daughter, Karla, he is survived by a son, Matthew, and two grandsons.
In the early 1990s, Mr. Schickele, tired of the road and also, somewhat, of PDQ Bach, took a long sabbatical to concentrate on his new radio show, “Schickele Mix.” Nationally syndicated for some fifteen years, he presented it in serious discussions of music, combined with the performance of works by composers as diverse as Chopin, Gershwin and Philip Glass.
In the 21st century, as the radio show ran its course, Mr. Schickele revived the PDQ. In 2015, he organized a 50th anniversary gala concert at City Hall.