Yes, she is 61, but her music remains determinedly contemporary, with the drum-machine sounds of trap, collaborations with hip-hop vocalists (Quavo and Swae Lee, shown on video) and the bilingual, reggaeton-flavored Latin pop sometimes called urbano (with the Colombian singer Maluma, also shown on video). The concert, with most of its music drawn from the “Madame X” album, was packed with pronouncements, symbols and enigmatic vignettes to frame the songs. Madonna often wore an eye patch with an X on it, no doubt a challenge to her depth perception as a dancer.

By the time Madonna had completed just the first two songs, she had already presented an epigraph from James Baldwin — “Artists are here to disturb the peace” — that was knocked out onstage by one of the concert’s recurring figures, a woman (sometimes Madonna herself) at a typewriter.

Gunshots introduced “God Control,” which moves from bitter mourning about gun deaths to happy memories of string-laden 1970s disco, while Madonna and dancers appeared in glittery versions of Revolutionary War finery, complete with feathered tricorn hats, only to be confronted by police with riot shields. “Dark Ballet” had Joan of Arc references, a montage of gothic cathedrals and scary priests, a synthesizer excerpt from Tchaikovsky’s “Nutcracker” and Madonna grappling with masked dancers, until cops pulled her off the piano she had been perched on. The signifiers were already piling up.

And there were more. Film-noir detectives pursued and interrogated Madonna in another disco-tinged song, “I Don’t Search I Find”; “Crave,” which warns, “My cravings get dangerous,” flaunted a full-sized disco ball. A pair of robotic but sinuous dancers, with red lights for eyes, flanked Madonna as she sat at a piano for the ominous “Future,” while the video screen filled with images of urban and environmental destruction. She surrounded herself with a choir of brightly robed women and geometric Arabic designs in “Come Alive,” which used the metal castanets and triplet rhythm of Moroccan gnawa music to back her as, once again, Madonna’s lyrics rejected unwanted opinions and restrictions.