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There are astoundingly few consistencies in His Name Is Alive’s decades-long career other than an unshakable commitment to left turns. Best known for the indie-pop records the group released on 4AD, the Michigan quartet hasn’t gotten comfortable in a single genre in years, restlessly reinventing its sound between albums, attracting and shedding different audiences and cementing its status with critics as one of independent music’s most daring and consistently baffling groups. On its latest album, the band finally settles on an appropriate form that can fully contain both its technical skill and disregard for genre allegiance. Tecuciztecatl scans mostly like a classic experimental prog album—long runtimes, bright ‘70s strumming, wailing guitar solos—but with satisfyingly eccentric deviations and nods to other sounds His Name Is Alive has mastered over the past two-plus decades. His Name Is Alive performs with Geoff Britches at 8 p.m. at the Black Cat Backstage, 1811 14th St. NW. $15. (202) 667-4490. blackcatdc.com.