The Killers’ third studio album, “Day & Age,” released Tuesday, is their furthest-reaching yet: a mélange of Roxy Music saxophone pomp, roller-rink disco and jittery synth rave-ups supporting Flowers’ newly surrealist lyrics.

Rock music is down to maybe a half-dozen bands who consistently reinvent themselves and still go platinum each time. But after their grand ambitions for “Sam’s Town” met a fairly resounding shrug from tastemakers — and moved about half of “Hot Fuss’ ” 3 million copies in the U.S. — the question remains: Will the Killers’ second attempt at an aesthetic makeover keep them in that ever-rarer clique?