THE BAD PLUS (Tuesday through Thursday) The pianist Ethan Iverson, the bassist Reid Anderson and the drummer David King constitute the Bad Plus, a delivery system for smartly sweeping original songs, as well as wryly affectionate renditions of pop tunes. (Through April 11.) At 8 and 10:30 p.m., Blue Note, 131 West Third Street, Greenwich Village, (212) 475-8592, bluenote.net; cover, $25 at tables, $15 at the bar. (Chinen)
DAVID BINNEY GROUP (Tuesday) The alto-saxophonist David Binney practices a brand of avant-gardism that embraces harmony, melody and rhythm, along with amplification. His cohort here includes some regular partners: the keyboardist Jacob Sacks, the bassist Thomas Morgan and the drummer Dan Weiss. At 10 p.m., 55 Bar, 55 Christopher Street, West Village, (212) 929-9883, 55bar.com; cover, $10, with a drink minimum. (Chinen)
PHAROAH SANDERS QUARTET (Tuesday through Thursday) The tenor-saxophonist Pharoah Sanders, one of the most significant survivors of 1960s free jazz, has never stopped imbuing his performances with the tone of a spiritual quest. (Through April 11.) 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)
NATE WOOLEY QUINTET (Sunday) A trumpeter well versed in textural abstraction, Nate Wooley presents a body of work called “Hands Together,” inspired by the female influences in his life. His band includes Josh Sinton on bass clarinet, Matt Moran on vibraphone, Eivind Opsvik on bass and Harris Eisenstadt on drums. At 9 and 10:30 p.m., Brooklyn Lyceum, 227 Fourth Avenue, at Union Street, Park Slope, brooklynlyceum.com; cover, $10. (Chinen)