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The title track is a dadaist salute to (perhaps unrequited) love, and the 12-minute album closer “One Sunday Morning” carries the stately gravitas of a biblical passage.

Mr. Tweedy and Mr. Stirratt think “The Whole Love” is the finest example of Wilco. Combined with the launch of the label, Mr. Tweedy said he and his bandmates have really achieved every goal they’ve ever had.

“But there’s a much more elusive goal that I think takes a lot of work and I think is just valuable, and that’s a goal to stay inspired,” he said. “It’s a goal to keep feeding this idea. That’s kind of your job now, to stay into it, to not get jaded, to listen to young bands.”