A primer on the noteworthy concerts in New Orleans this week:

Martin Sexton

8 p.m. Saturday

Republic New Orleans, 828 S. Peters St.

Tickets: $25 advance, $29 day of show

Martin Sexton cut his teeth as a singer-songwriter busking on Harvard Square in Boston. That dues-paying served him well, honing his chops, songwriting and singing. He draws on elements of soul, rock, folk and R&B and is capable of convincingly conjuring all those styles. His diversity is evident on his latest album, “Mixtape of the Open Road,” which, as the title suggests, ranges across multiple styles. Since 2013, Sexton has generally toured with the Brothers McCann as both his opening act and backing band. Pat and Mike McCann and Erik White first made a name for themselves on the New England folk circuit. For a time, they were part of a larger band, before realizing they worked best as an acoustic trio — just acoustic guitars, keyboards and three-part harmonies. The Brothers McCann join Sexton at Republic New Orleans this weekend.

Wavves

8:30 p.m. Saturday

Joy Theater, 1200 Canal St.

Tickets: $25

The single “Way Too Much” encapsulates what Los Angeles punk-pop/indie rock band Wavves is about: Energized, hook-laden, lo-fi anthems that disguise often frank, confessional lyrics about harsh realities. Speaking of “V,” the fifth full-length album by Wavves, frontman Nathan Williams has said that “it’s not happy music, not at all, but it’s inspired by trying to be happy about the s------ lows.” On Saturday, Wavves co-headlines the Joy Theater downtown with Best Coast, a somewhat more psychedelically tinged L.A. band touring in support of its current “California Nights” album. The “Summer is Forever II” tour also includes opening act Cherry Glazerr, a young garage rock trio from, yes, Los Angeles.

The Funky Meters

10 p.m. Saturday

Tipitina’s, 501 Napoleon Ave.

Tickets: $30 advance, $35 day of show

The Funky Meters is a more muscular, more improvisatory version of the original Meters, the quartet that, from the 1960s through the late 1970s, largely defined slinky New Orleans funk. Founding Meters keyboardist Art Neville and bassist George Porter Jr. have always formed the core of the Funky Meters since that band’s inception circa 1989. For most of the band’s history, the Funky Meters were powered by drummer Russell Batiste; in 2014, Terrence Houston took over the drum chair. And former Neville Brothers guitarist Brian Stoltz reoccupied his spot in the band in 2011, after a four-year break. The Funky Meters have a handful of dates on the books throughout the spring, including this Saturday’s hometown show. Tipitina’s is billing it as the kickoff party to the “Countdown to Fess Jazztival,” the club’s name for its Jazz Fest-week programming.

Christian Scott Quintet

8 p.m. and 10 p.m. Saturday

Snug Harbor, 626 Frenchmen St.

Tickets: $30

Trumpeter and composer Christian Scott’s music is informed by New Orleans tradition but certainly not bound by it. He’s adorned the covers of both JazzTimes and Downbeat but does not limit himself to rigid definitions of jazz. As he’s written, “just because it can be said that my work is inherently Jazz does not mean that it is exclusively Jazz.” To that end, he titled his 2015 album “Stretch Music.” He has explained, “we are attempting to stretch — not replace — Jazz’s rhythmic, melodic and harmonic conventions to encompass as many musical forms/languages/cultures as we can.” His combo’s performance on a recent edition of National Public Radio’s “Tiny Desk” concert series made that clear. Now based in his hometown once again after years in Boston and New York, Scott will play two sets at Snug Harbor with a quintet of local musicians.

Erica Falls

9 p.m. Thursday

Chickie Wah Wah, 2828 Canal St.

Tickets: At the door

Erica Falls has lit up local stages in a variety of settings: As one of Galactic’s featured guest singers. As one of the featured performers at various Allen Toussaint tributes last fall. As a collaborator with the likes of Joe Sample, Dr. John, Sting, No Doubt, Joss Stone and many more. She boasts a potent voice steeped in soul and sass, with a stage presence to match. After many collaborations, she is building a reputation as a leader in her own right. Hear her at Chickie Wah Wah.