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.)

The Dames: One of Duluth’s best bands of the early-’00s, this stormy sludge-rock trio just played its first gig in 12 years for the Homegrown Festival and is offering another reunion gig to Twin Citians, who — if they don’t remember them — will appreciate their sonic mingling of QOTSA, Am/Rep acts and the Nuge. (8:30 p.m. Sat., 7th Street Entry, $15.)

Diet Cig: This youthful, high-energy Brooklyn pop/punk duo kicked up a sizable buzz at the SXSW fest and added to it with the April release of their debut for Frenchkiss Records, “Swear I’m Good at This,” sounding like a cross between Best Coast and the Sugarcubes. (8 p.m. Mon., 7th Street Entry, $12-$14.)

Sarah Jarosz: Having grabbed two Grammys in February, this rising 25-year-old folk/Americana star has graduated to two nights at the Dakota. That’s what happens when you’ve become the go-to vocalist for both Garrison Keillor and Chris Thile on “A Prairie Home Companion.” (7 p.m. Tue.-Wed. Dakota, $35-$45.)

John Legend: He received more attention for his involvement with “La La Land” (he was an executive producer and actor, playing the bandleader of the group Ryan Gosling joined) than for his latest album, “Darkness and Light,” which arrived in mid-December. For the velvety piano balladeer, the new album stretches his emotional range, thanks to producer Blake Mills. Even though his just-started tour features lots of material from his new album, the always suave, Oscar- and Grammy-winning Legend is, at heart, the “All of Me” romantic. Gallant opens. (7 p.m. Wed. Northrop, Mpls., $82.50-$152.50, tickets.umn.edu)

NPG: Last June seemed too soon for the New Power Generation to salute their recently departed leader, Prince. Now Michael Bland, Sonny Thompson, Tommy Barbarella and other NPGers will team up with versatile Twin Cities vocalist Julius Collins and guests Dave Pirner, Jamecia Bennett and Margaret Cox to present the music of Prince for a second tribute timed to his birthday. Let’s hope this abundantly talented band skips the photo/video backdrop and focuses on the music. (8 p.m. Thu.-June 10, Fine Line, $45-$55.)