â˜… BLOODCOUNT (Sunday) A few months ago the alto saxophonist Tim Berne released â€œSecondsâ€ (Screwgun), chronicling the 1990s reign of this compellingly rough-and-tumble band. Now he has regrouped with its core members: the multireedist Chris Speed, the bassist Michael Formanek and the drummer Jim Black. At 8 and 10 p.m., the Stone, Avenue C and Second Street, East Village, thestonenyc.com; cover, $10.
ELLERY ESKELIN (Friday) Mr. Eskelin, a tenor saxophonist, teams up with a frequent foil, the drummer Jim Black, for some energetic abstraction. Also on board is Melvin Gibbs, a bassist who joined them on record a few years ago. At 10 p.m., the Stone, Avenue C and Second Street, East Village, thestonenyc.com; cover, $10. (Chinen)
FREESTYLE JAZZ (Sunday) Timbre and tonality are unstable elements for Peter Evans and Nate Wooley, trumpeters who play successive sets here. Mr. Evans plays duo with the bassist Tom Blancarte; then Mr. Wooley joins Adam Linson on bass and Harris Eisenstadt on drums. At 7 and 9 p.m., Jimmyâ€™s, 43 East Seventh Street, East Village, (212) 982-3006, freestylejazz.com; cover, $10, with a one-drink minimum. (Chinen)
BILL FRISELL 858 QUARTET (Tuesday through Thursday) The guitarist Bill Frisell originally formed this experimental string quartet â€” with Jenny Scheinman on violin, Eyvind Kang on viola and Hank Roberts on cello â€” for a multimedia project involving a suite of Gerhard Richter paintings. Here the ensemble holds down the first half of Mr. Frisellâ€™s two-week Village Vanguard run. (Through April 20.) At 9 and 11 p.m., Village Vanguard, 178 Seventh Avenue South, at 11th Street, West Village, (212) 255-4037, villagevanguard.com; cover, $20, with a $10 minimum. (Chinen)
VIJAY IYER (Wednesday and Thursday) For part of this performance, Mr. Iyer plays piano alongside the bassist Stephan Crump and the drummer Marcus Gilmore, as on his â€œTragicomicâ€ (Sunnyside), a strong effort due out this month. He also unveils new pieces for solo piano and electronics, and drafts the string quartet Ethel to perform â€œMutations I-X,â€ a thorny suite drawing inspiration from technology and genetics. At 8 p.m., the Kitchen, 512 West 19th Street, Chelsea, (212) 255-5793, thekitchen.org; $10. (Chinen)
NEW MELLOW EDWARDS/CLAUDIA QUINTET (Saturday) The clarinetist and tenor saxophonist Chris Speed, who programmed this month at the Stone, appears in both these shifty, texture-rich ensembles. The New Mellow Edwards (at 8 p.m.), led by the trombonist Curtis Hasselbring, goes in for raucous thrust; the Claudia Quintet (at 10), founded by the drummer John Hollenbeck, reflects more of a chamber shimmer. At the Stone, Avenue C and Second Street, East Village, thestonenyc.com; cover, $10. (Chinen)
OPEN LOOSE (Saturday) Together with the tenor saxophonist Tony Malaby and the drummer Tom Rainey, Mark Helias, a bassist and composer, walks a line between form and freedom, confirming that there can be rigor in both. At 9 and 10:30 p.m., Cornelia Street CafÃ©, 29 Cornelia Street, West Village, (212) 989-9319, corneliastreetcafe.com; cover, $10, with a one-drink minimum. (Chinen)
VISION/RUCMA SERIES 2008 (Friday through Sunday) This concert series continues every weekend through May. Fridayâ€™s show spotlights Charles Gayle, an alto saxophonist and pianist devoted to the revelatory school of free jazz; Saturdayâ€™s will feature a quartet led by the vigorous bassist Michael Bisio. On Sunday the bassist Albey Balgochian leads a trio with Steve Swell on trombone and Jackson Krall on drums. Friday and Saturday at 10:30 p.m., Sunday at 8 p.m., Living Theater, 21 Clinton Street, near Stanton Street, Lower East Side, (212) 696-6681, visionfestival.org; $10, students $7. (Chinen)