Berkeley-born bandleader, composer, and saxophonist Joshua Redman may be lining himself up for a third Grammy nomination with his new album, Walking Shadows. Backed by longtime, best-in-the-biz associates — pianist Brad Mehldau, drummer Brian Blade, and bassist Larry Grenadier — Redman also employs a sweet string orchestra, which lubricates half of the album’s twelve ear-massaging, romantic tracks. Redman is the son of jazz royalty (his father, now deceased, was the outstanding saxophonist Dewey Redman), and took up the saxophone at age ten. He was a member of the Berkeley High School Jazz Ensemble and Combo from 1983 to 1986, but he never intended to become a full-time musician. (That changed, obviously.) His style incorporates the varied influences of The Beatles, Aretha Franklin, Prince, and Led Zeppelin, in addition to legendary jazz masters. Whether he’s caressing the sound of his saxophone into smoky atmospherics or blowing audiences out of their seats, Redman exhibits a technical prowess that’s impossible to mask. He’ll perform this Saturday with pianist Aaron Goldberg, bassist Reuben Rogers, and drummer Gregory Hutchinson at Zellerbach Hall (Bancroft Way at Dana St., Berkeley).