STEVEN BERNSTEIN’S MILLENNIAL TERRITORY ORCHESTRA (Monday) “We Are MTO” (Mowo) is the typically brash and exuberant new studio album from this serious little big band, led by the slide trumpeter and arranger Steven Bernstein. Its sound would seem to be too big for this room, but stranger things have happened. At 10 p.m., 55 Bar, 55 Christopher Street, West Village, (212) 929-9883, 55bar.com; cover, $10. (Chinen)
BLUIETT (Saturday) Both in the World Saxophone Quartet and in his own groups, this veteran baritone saxophonist — also known by his full name, Hamiet Bluiett — has always advanced an agenda of blustery incantation. He can leap from a foghorn honk to a jarring screech in a flash, and often does; his presence in a small combo, like the one heard here, is heavily, intensely physical. At 9 and 10:30 p.m., Sista’s Place, 456 Nostrand Avenue, at Jefferson Avenue, Bedford-Stuyvesant, Brooklyn, (718) 398-1766, sistasplace.org; cover, $20. (Chinen)
? TAYLOR HO BYNUM (Friday and Saturday) As a cornetist, Mr. Bynum works with extreme tension and pinprick control; as a composer he favors jostling counterpoint and elastic interplay. He has a thought-provoking new album, “Asphalt Flowers Forking Paths” (Hatology), featuring his sextet, which performs at 10:30 p.m. on Friday. (In an earlier set, at 9, he enlists just two of the sextet’s members, the guitarist Mary Halvorson and the drummer Tomas Fujiwara.) Both sets on Saturday feature his improvising chamber group, SpiderMonkey Strings. At 9 and 10:30 p.m., Jazz Gallery, 290 Hudson Street, at Spring Street, South Village, (212) 242-1063, jazzgallery.org; cover, $15. (Chinen)
JEFF DAVIS BAND (Thursday) Jeff Davis, a drummer of broad experience, features his own compositions for a group with Kirk Knuffke on trumpet, Tony Barba on reeds, Jon Goldberger on guitar, Eivind Opsvik on bass and Kris Davis, his wife, on Fender Rhodes piano. At 9 and 10 p.m., Tea Lounge, 837 Union Street, near Sixth Avenue, Park Slope, Brooklyn, (718) 789-2762, tealoungeny.com; suggested donation, $5. (Chinen)
TOMAS FUJIWARA AND THE HOOK UP (Wednesday) Mr. Fujiwara’s alert drumming has propelled some excellent ensembles on the new-music landscape. Here he presents his own open-ended compositions for a new band with Nate Wooley on trumpet, Brian Settles on tenor saxophone, Mary Halvorson on guitar and Sean Conly on bass. At 8 p.m., Barbès, 376 Ninth Street, at Sixth Avenue, Park Slope, Brooklyn, (347) 422-0248, barbesbrooklyn.com; cover, $10. (Chinen)
JOE LOVANO QUINTET (Friday through Sunday) Joe Lovano has become one of the stalwart jazz saxophonists, partly by triangulating John Coltrane’s harmonic inquiry, Ornette Coleman’s off-kilter lyricism and Ben Webster’s pathos. This quintet, also called “Us 5,” includes James Weidman on piano, Esperanza Spalding on bass, Francisco Mela on percussion and Otis Brown III on drums. At 9 and 11 p.m., Village Vanguard, 178 Seventh Avenue South, at 11th Street, West Village, (212) 255-4037, villagevanguard.com; cover, $25, with a $10 minimum. (Chinen)
MEPHISTA/ANTHONY COLEMAN (Wednesday) Texture and tonality are flexible elements in Mephista, an exploratory trio with Sylvie Courvoisier on piano, Susie Ibarra on drums and percussion and Ikue Mori on electronics. In a later set Anthony Coleman, a pianist and composer, performs a far-ranging solo recital. At 8 and 10 p.m., the Stone, Avenue C and Second Street, East Village, thestonenyc.com; cover, $10.