Written and produced entirely by Mr. Healy and his studio-whiz partner and drummer George Daniel, the music borrows from formulas the 1975 tinkered with on its first two albums, but ventures further — and more believably — afield, cementing the group as a rock band that can reference rap, cross into pop and still feel alternative.

The 1975 is not resting there. After finishing “A Brief Inquiry” in September, Mr. Healy took a weekend trip with his girlfriend and then returned immediately to the band’s temporary Los Angeles headquarters to dive into its fourth album, “Notes on a Conditional Form,” which he has promised will be released in May.

The deluge of new music, with a tour in between, not only nods to the pace of modern hip-hop and the online content flood, it also solidifies the 1975’s reputation as a fan’s band: Mr. Healy invests as much in his young and hungry followers as they do in him. “It’s not about selling stuff,” he said. “Superserve your fans or don’t. But it’s not quite good enough anymore to just have an album.”

John Janick, the chief executive of Interscope Geffen A&M, which releases the 1975’s music in the United States in collaboration with the band’s own Dirty Hit label, called Mr. Healy a “mad genius” and a “true rock star.” (Summing up his own frontman shtick, Mr. Healy played the conflicted voice inside his head: “I’m Jim Morrison. Am I Jim Morrison? I’m sorry that I’m Jim Morrison. I’m [expletive] Jim Morrison!”)

Mr. Janick said: “They understand their audience because they were those kids. They are those kids still to this day.” He added, “These guys have done all this grass-roots work, figuring out who they are and experimenting. There’s not many acts like them that check every box.”