The Melvins have been around for more than three decades, influencing bands such as Nirvana and Mastodon, while grinding out their own style of heavy music, which has been described as everything from punk to grunge to metal. These aren't sounds and styles that listeners would usually associate with the Beatles, but that didn't stop the Melvins from covering the towering British group's "I Want to Tell You" on their latest album.

It turned out to be a good fit. Melvins co-founder, guitarist and vocalist Buzz Osborne...