Michael Bates Quintet (Saturday) The bassist Michael Bates brings a prickly fluency to his bandleading and arranging on “Acrobat: Music for, and by, Dmitri Shostakovich,” his new Sunnyside release. He also puts a lot of interpretive power in the hands of his band mates, all of whom — the trumpeter Russ Johnson, the multireedist Chris Speed, the pianist Russ Lossing and the drummer Tom Rainey — will take part in this album-release show. At 9 and 10:30 p.m., Cornelia Street Café, 29 Cornelia Street, West Village, (212) 989-9319, corneliastreetcafe.com; cover, $15, with a $10 minimum. (Chinen)
Brooklyn Babylon (Friday and Saturday) An intriguing multimedia collaboration between the graphic artist Danijel Zezelj and the jazz composer Darcy James Argue, “Brooklyn Babylon” concerns itself with issues of development and dystopia in a certain borough at an uncertain future date. The piece, part of the Next Wave Festival at the Brooklyn Academy of Music, involves projected animation, live-action painting and an original score executed by Mr. Argue’s 18-piece band, the Secret Society. At 7:30 p.m., Harvey Theater, Brooklyn Academy of Music, 651 Fulton Street, Fort Greene, Brooklyn, (718) 636-4100, bam.org; $20, $14 for season tickets. (Chinen)
John Coltrane’s Ascension, Featuring… (Wednesday) Last year around this time, the Jazz Standard hosted a 50th anniversary party for the Impulse! label, with musicians recreating classic albums from the catalog. This one-nighter picks up that thread, honoring “Ascension” — a landmark of free jazz, and a singular moment on the Coltrane timeline — with an all-star cast that includes the saxophonists Joe Lovano, Vincent Herring, Donny McCaslin and Sabir Mateen. Also in the ranks are the trumpeter Jeremy Pelt, the trombonist Josh Roseman, and an ace rhythm section anchored by two drummers, Billy Drummond and Matt Wilson. At 7:30 and 9:30 p.m., Jazz Standard, 116 East 27th Street, Manhattan, (212) 576-2232, jazzstandard.net; $25 cover. (Chinen)
Cryptogramophone at the Stone (Friday through Sunday) Cryptogramophone, a stylishly progressive Los Angeles label run by the violinist Jeff Gauthier, has temporarily taken over the Stone, airing out its left-of-center aesthetic one show at a time. Closing out the run are a handful of compatible ensembles, including a duo consisting of the drummer Scott Amendola and the guitarist Charlie Hunter (Friday at 8 p.m.); Los Totopos, led by the alto saxophonist Tim Berne (Friday at 10 p.m.); the Alt.Timers Trio, with Denman Maroney on prepared piano (Sunday at 8 p.m.); and the Ken Filiano Trio (Sunday at 10 p.m.). At 8 and 10 p.m., the Stone, Avenue C and Second Street, East Village, thestonenyc.com; $10 cover per set. (Chinen)
Cuneiform at the Stone (Tuesday through Nov. 30, except Mondays) The genre-blending ethos of Cuneiform Records, an independent label out of Silver Spring, Md., finds a regular perch this month at the Stone. Among the coming highlights are the smartly rugged band Ideal Bread, playing on Tuesday both alone (at 8 p.m.) and with the trombonist Roswell Rudd (at 10 p.m.); Joel Forrester’s Secret Identity, led by Mr. Forrester, a pianist and composer (Wednesday at 10 p.m.); and Positive Catastrophe, a group rumbling around the spaces between Latin jazz and the avant-garde (Thursday at 10 p.m.). At 8 and 10 p.m., the Stone, Avenue C and Second Street, East Village, thestonenyc.com; $10 cover. (Chinen)
Greg Ward’s Phonic Juggernaut (Wednesday) “Phonic Juggernaut” (Thirsty Ear) is the potent new album by Mr. Ward, a versatile and enterprising alto saxophonist from Chicago; it’s also the name of this flexible band, with Joe Sanders on bass and Damion Reid on drums. At 8:30 p.m., Cornelia Street Café, 29 Cornelia Street, Greenwich Village, (212) 989-9319, corneliastreetcafe.com; $10 cover, with $10 minimum. (Chinen)