Pastiche
Etymology
From French "pastiche," borrowed from Italian "pasticcio," "a pie or pasty," hence "a hodgepodge," from Vulgar Latin pasticium, related to pasta, "paste, dough." The culinary image of many ingredients folded together carried over into the arts as a work blended from borrowed styles. English kept the French spelling.
noun · /pass-TEESH/
A work that openly imitates or stitches together the styles of other artists or periods.
What it names
The affectionate, non-mocking imitation — a story written “in the manner of” Conan Doyle, or an album that lovingly reassembles seventies soul — letting you name homage that isn’t parody.
Example
His debut is an obvious pastiche of noir detective fiction, right down to the rain-slicked streets and the world-weary voice-over.
Related idea
Pastiche imitates a style in tribute; parody imitates it to ridicule.