Local trumpet master Rod McGaha rolls out his new compositions for big band tonight, but don’t come expecting to work on your Lindy Hop moves: “The band will swing,” says McGaha, “but it will also tip its hat to other genres — it’s not a jazz big band.” He’s assembled players from a wide spectrum of musical backgrounds, hoping to highlight their common ground. Jazz scene regulars like Don Aliquo and Roland Barber are part of this 24-piece ensemble, but the rich instrumental palette also includes French horns, violin and accordion. McGaha’s own tasteful and nuanced trumpet playing has won him gigs with everyone from Kenny Rogers to legendary drummer Max Roach, and his string of successful solo recordings reveals a searching musical personality. Tonight’s ambitious concert is hosted by Christ Church Cathedral’s “Sacred Space for the City” performing arts series. Admission is $15 in advance, $20 at the door and $5 for students.