Rodrigo y Gabriela: They are no longer a couple romantically but they are still in sync musically. Their ferociously rhythmic and percussive acoustic guitars are a thing of beauty live. The guitarists from Mexico City are fluent in flamenco, rock and even heavy metal. Their latest album, 2014's "9 Dead Alive," offers nine heavy rock salutes to late, great figures, including Harriet Tubman, Gabriela Mistral and Fyodor Dostoyevsky. (9 p.m. Fri. First Avenue, Mpls., $37, etix.com).
Diana Krall: After a somewhat awkward run through rock and pop classics on 2015's "Wallflower," the chill singer/pianist returns to the Great American Songbook on this year's "Turn Up the Quiet." The last project produced by the late, great Tommy LiPuma, it finds Krall returning to her familiar subtle, smokey style, with assists from fiddler Stuart Duncan, guitarist Marc Ribot and bassist Tony Garnier, a St. Paulite who has long toured with Bob Dylan. This is opening night of Krall's tour to promote this new album. (8 p.m. Fri. State, $66.50-$129.)
ZZ Ward: A Twin Cities favorite, this L.A. blues-rock powerhouse will finally drop her overdue second album, "The Storm," on June 30. Expect a preview. (9 p.m. Fri. Fine Line, sold out.)
Icehouse's 5th anniversary: The classy but not fussy Eat Street hangout has been a boon to Twin Cities music, and the lineup for its week-long celebration proves it, with Rogue Valley and PaviElle on Fri. (10 p.m.), Solid Gold and Aby Wolf on Sat. (10 p.m.), the all-star Droppers on Sun. (7:30 p.m., JT Bates' weekly Jazz Implosion on Mon. (10 p.m.), an improvisation night with Dosh and Coloring Time on Tue., Tina Schlieske and BB Gun on Wed. (7 and 9:30 p.m., respectively), and Marijuana Deathsquads with Gang Font on Thu. (10 p.m.; $5 per show.)
Chastity Brown: Between tour dates with Ani DiFranco, Minneapolis' soulful folk-rocker is putting on a big home-turf release party — string section included — for her moving new album on Red House Records, "Silhouette of Sirens." Read an interview with Brown about the LP at startribune.com/music. (8 p.m. Fri., Fitzgerald Theater, $15-$40.)
Tom Petty and the Heartbreakers: On their 40th anniversary tour, these Rock Hall of Famers are playing the hits and a few deep tracks. After a three-year hiatus, they sounded tight, potent and refreshed at the Grammys' MusiCares gala in February. That's a great omen. Opening is humorous guitar hero Joe Walsh, who was famous before he joined the Eagles. Read an interview with Heartbreakers guitarist Mike Campbell at startribune.com/variety/music. (8 p.m. Sat. Xcel Energy Center, $49.50-$149.50)
Norah Jones: After flirting with rockier, poppier and twangier sounds on recent albums to great effect, the Dallas-raised piano balladeer gets back to her jazzy roots on her new LP "Day Breaks," featuring backing by the likes of Wayne Shorter and Lonnie Smith. It's the closest-sounding effort of late to her Grammys-sweeping 2002 breakthrough album "Come Away With Me," but lyrically Jones brings in the 15 years of wisdom and depth that have come since. Now a mother, she's been touring less, so don't miss the chance to see her at the poshest theater in town. (8 p.m. Sat., Northrop auditorium, $58-$71, northrop.umn.edu)
Grand Young Day: An annual tribute to Neil Young that dates back to the Turf Club's St. Paul Music Club days, it's back again this year with Alan Sparhawk's and Rich Mattson's all-Neil band Tired Eyes, plus Heavy Love, Al Grande, Danger Birds, the return of the Mammy Nuns and more. (7 p.m. Sat., Turf Club, $8-$10.)