"draw mainly on" is correct and usable in written English.
You could use it when referring to an argument or a body of work that draws from a specific source. For example, "This essay will draw mainly on primary sources from the 19th century."
Oorutaichi played two short sets: one featuring songs from his 2007 album, "Drifting My Folklore" (Okimi), and one drawing mainly on his most recent album, "Cosmic Coco, Singing for a Billion Imu's Hearty Pi" (Out One Disc), from 2011.
But it was Wright who made the decisive leap from an architecture that drew mainly on European stylistic precedents to one that was rooted in a growing cultural self-confidence.
She draws mainly on her harrowing recent breakup album, Vulnicura, and it is emotionally stunning.
The novels drew mainly on the periods of the Maurya, Gupta, and Mughal empires.
In writing this piece I drew mainly on three sources, research papers by economists I know and trust.
Mr. Hendin, with the American Numismatic Society, drew mainly on the coin collection of Abraham D. Sofaer, the politician and legal scholar, and his wife, Marian Scheuer Sofaer.
It drew mainly on British, French, and Swiss personnel, but more than 40 states contributed members in order to spread recruitment as widely as possible.
The night before the Drones had done a less dramatic but no less emotionally punishing set, drawing mainly on older material (The Minotaur was particularly furious, as was Shark Fin Blues).
Mr. Quandt said that his area drew mainly on schools in the Middle West, except for Texas Week, March 10 to 17 this year, when state universities all have vacation, as do high schools in the Rio Grande Valley.
Started by David Anderson, a child psychologist who heads a Christian service agency, Safe Families draws mainly on churches to find families who will take in children, with no compensation or expectation of adoption.
