The phrase "a piece based on" is correct and usable in written English.
It can be used when referring to a work of art, literature, or any creative piece that is inspired by or derived from another source.
Example: "The film is a piece based on a true story that captivated audiences worldwide."
Alternatives: "a work inspired by" or "a creation derived from".
I could write a piece based on any one of those areas, but today I would like to focus on relaxation and soothing qualities that adult coloring can bring to your life.
A troupe headed by Nomi Bachar, Amy Kail, Sasha Spielvogel and Kathryn Sullivan dances its way from satire to emotional upheaval in a program that includes a piece based on a Dorothy Parker short story and one to Yiddish swing music.
But a piece based on Mahler's First Symphony on "Toys" portended his large-scale classical reworkings.
He's also creating a piece based on a Gurunsi divination method involving the scattering of cowrie seeds.
In a piece based on Jerome Robbins's "West Side Story," the dancers not only dance but sing.
When Harry Shearer and I joined Saturday Night Live, we decided to write a piece based on that.
I know the New York Times is always looking for a trend piece based on one person's anecdotal experience.
"I was surprised anyone would run an op-ed piece based on one employee," he said.
I'm going to presuppose the following: a) God exists: an assumption based on the fact that writing a whole piece based on a rejection of the premise of the question would be gittish and boring.
The "musical tour" includes a Buddhist prayer sung in Japanese, Italian art songs and a Czech piece based on a Moravian folksong, as well as works by J.S. Bach, Benjamin Britten, John Rutter, Omar Macha and Gustav Holst and contemporary composers.
Nearby, the seraphic strains of Janet Cardiff's "Forty Part Motet," a sound piece based on a sixteenth-century choral work by Thomas Tallis, fill a military chapel.
