The phrase "a composition based on" is correct and usable in written English.
It can be used when referring to a piece of work, such as music, literature, or art, that is created using another work as its foundation or inspiration.
Example: "The symphony is a composition based on the themes of traditional folk music."
Alternatives: "a work inspired by" or "a piece derived from".
In "Grand Street Brides" (1954), one of several early paintings that attracted the immediate attention of critics and curators, she depicted bridal-shop window mannequins in a composition based on Goya's "Royal Family".
Later, he recorded a composition based on the chord changes to the classic tune "All the Things You Are" and retitled it "All the Things You Could Be by Now if Sigmund Freud's Wife Was Your Mother".
But at this point the dualism engendered by tonal and thematic contrast had not yet supplanted the more continuous, unitary processes at work in a composition based on counterpoint.
Though he likes to include homages to artists and other directors in his films -- a shot borrowed from Kubrick's "Barry Lyndon," a composition based on an obscure photo by Jacques-Henri Lartigue -- he never relies on references to do his work for him.
His elaborate 1886 model for Grant's Tomb included a 270-foot Gothic tower; four years later the building committee chose John H. Duncan's project for a composition based on the famed fourth-century Mausoleum of Halicarnassos, the monument as eventually erected.
Yarrowia lipolytica was cultured in a medium with a composition based on the results of the experimental design carried out in flasks.
Six serious contenders went after Mr. Richter's "Seascape" (1969), a romantic composition based on two photographs, one of the sea and one of the sky.
The EO have a complex composition based on a number of constituents with low molecular weight, and their biological activities are due either to a main component of the mixture, usually a monoterpene, or to the synergic action of multiple compounds [ 11].
What makes Simmons' novel so compelling is his daring to create a fictional character based on but as unique as Davis himself, just as jazz soloists use a standard tune as a point of departure to develop an improvised composition based on a melody.
Through a custom computer and audio signals, St Horto can produce in real time a musical composition (based on the work and programming of Vincenzo Core) starting with a single tune that generates automatically according to homothetic principles.
Meanwhile her ordeal inspired a new creative initiative, the Loading Dock Project, built around a new composition based on interviews she plans to conduct with criminals and victims.
