The irresistible score is similarly like nothing else on Broadway, to use an exhausted phrase that is in this case the simple truth. Mr. Byrne has always been a musical magpie, and here he proffers a dizzyingly eclectic range of songs. There is melodic balladry for the numbers that explore Imelda’s rise from poverty on a provincial island in the Philippines to her fairy-tale marriage to a political up-and-comer. Once Imelda, played with radiant seductiveness by Arielle Jacobs, and her husband, Ferdinand (Jose Llana, exuding cool ambition), have secured the presidency and become beloved public figures, the party proper begins, with powerful basslines surging forth and the audience encouraged to join in the happy melee, even to the point of being given choreographic instructions.