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Even if you’ve witnessed the astonishing guitarist Alexander Noice casually cast aloft dazzling solos as a sideman in the glittery space-pop band Polartropica, it doesn’t fully prepare you for the range of spectacular sounds and ideas bursting out of his own project Noice. The bandleader-composer’s eponymous new album, Noice (Orenda Records), is an intricate puzzle box that unlocks and expands into a 30-ring circus, which plays out across several densely detailed layers like 3-D chess. Noice’s cycling guitar patterns are intercut with febrile samples and Karina Kallas’ and Argenta Walther’s rapid-fire operatic vocals. There are elements of free jazz in the interplay between Noice and alto saxophonist Gavin Templeton, but full-bodied bassist Colin Burgess and inventive drummer Andrew Lessman nail everything down with an exacting precision, groove and disciplined heaviness that draw simultaneously from prog, art-pop, electronica and punk. With Logan Hone’s Similar Fashion and Kidi Band.

Bootleg Theater, 2220 Beverly Blvd., L.A.; Sun., Sept. 8, 8 p.m.; $10; ages 21 & over. (213) 389-3856, www.bootlegtheater.org.