BAD TOUCH (Tuesday) This exploratory quartet relies on the collective input of the alto saxophonist Loren Stillman, the guitarist Nate Radley, the organist Gary Versace and the drummer Ted Poor: resourceful improvisers, to a man. At 8 p.m., the Stone, Avenue C and Second Street, East Village, thestonenyc.com; cover, $10. (Chinen)
â˜… CARLA BLEY/STEVE SWALLOW/ ANDY SHEPPARD (Tuesday through Thursday) Off-kilter harmonies, serpentine forms and subversive wit are all trademarks of Ms. Bley, a pianist and composer who has recently focused her attentions on a slippery band called the Lost Chords. Two of that groupâ€™s members join her here: Mr. Sheppard, a saxophonist, and Mr. Swallow, a bassist (and Ms. Bleyâ€™s personal as well as professional partner). (Through April 12.) At 8:30 and 11 p.m., Birdland, 315 West 44th Street, Clinton, (212) 581-3080, birdlandjazz.com; cover, $30 and $40, with a $10 minimum. (Chinen)
DAVE DOUGLAS AND KEYSTONE (Thursday) This latest project from the trumpeter Dave Douglas imagines a new soundtrack to the silent films of Roscoe (Fatty) Arbuckle, via an instrumental cohort of saxophone, electric keyboards, turntables, bass and drums. As Mr. Douglas and his ensemble demonstrate on a recent live recording, â€œMoonshineâ€ (Greenleaf), thereâ€™s nothing musty or particularly comic about their methods. (Through April 13.) At 7:30 and 9:30 p.m., Jazz Standard, 116 East 27th Street, Manhattan, (212) 576-2232, jazzstandard.net; cover, $25.
JASON MILES AND DJ LOGIC (Monday) DJ Logic and the keyboardist Jason Miles have a forthcoming world-fusion album, â€œGlobal Noizeâ€ (Shanachie), that upholds a stylishly cosmopolitan spirit of groove. Previewing material from the album here, they enlist some of its special guests, like the bassist Meshell Ndegeocello, the keyboardist Bernie Worrell and the trumpeter Christian Scott. At 8 p.m., Highline Ballroom, 431 West 16th Street, Chelsea, (212) 414-5994, highlineballroom.com; $25, $28 at the door. (Chinen)
OSCAR NORIEGA TRIO/SHOT X SHOT (Friday) The saxophonist and bass clarinetist Oscar Noriega leads an energetically evasive trio with John Hebert on bass and Tom Rainey on drums. Then Shot x Shot, a Philadelphia collective with a dual-saxophone frontline (Dan Scofield on alto, Bryan Rogers on tenor), previews material from its forthcoming second album. At 8 and 10 p.m., the Stone, Avenue C and Second Street, East Village, thestonenyc.com; cover, $10 per set. (Chinen)
SACKS/OPSVIK/MANERI/CLEAVER (Saturday) The pianist Jacob Sacks and the bassist Eivind Opsvik have a likably cagey new album, â€œTwo Miles a Dayâ€ (Loyal Label/Yeah-Yeah), with Mat Maneri on viola and violin, and Paul Motian on drums. They regroup here, with Gerald Cleaver filling in capably for Mr. Motian. At 10 p.m., the Stone, Avenue C and Second Street, East Village, thestonenyc.com; cover, $10. (Chinen)
ZENOPHILIA (Wednesday) The drummer Zeno De Rossi, the saxophonist Francesco Bigoni and the bassist Danilo Gallo â€” all active figures on the contemporary left-of-center Italian jazz scene â€” pay a visit to New York, and connect with a kindred spirit, the American pianist Anthony Coleman. At 8 p.m., the Stone, Avenue C and Second Street, East Village, thestonenyc.com; cover, $10. (Chinen)