Definition: a type of furniture leg, in which a series of rounded channels or grooves are carved vertically into a straight leg at regular intervals; modeled after ancient Greek columns, it flourished in the Neoclassical styles of the second half of the 18th century, such as Hepplewhite, as well as 19th-century Classical Revival styles; similar to a reeded leg, except that fluted channels are concave (vs. convex)
Example:
Rounded fluted legs lent a stately, massive air to the piano.