For Rubén Albarrán, the singer of the pioneering Mexican rock band Café Tacvba, every album emerges from a mysterious and singular space where the members regroup and open up their minds to a new process.

“All forms of art are about creating new bonds,” said Mr. Albarrán, who has been the frontman of Café Tacvba since its founding in 1989. “In this case, we want to create music and write lyrics that lead us to different rhythms. That’s what we enjoy.”

And this is how “Jei Beibi” (pronounced “Hey baby”), the band’s first album in five years, was born. Released on Friday, it is the work of a band of grown-ups; its songs recognize loss and the ephemeral nature of relationships. As the band members approach their 50s, and after being together for almost three decades, they inevitably ask themselves whether the world they have created is coming to an end.