If you wanted to be cynical, you could say Radiohead are staggering the release dates for their King of Limbs 12-inch remixes because doing so breathes additional life into an album that's all but forgotten. (TKOL was left off many mid-year best-of lists, including those by Spin, Pitchfork and Stereogum.) But we digresss.

The first two remixes in this series come from Canadians Caribou (AKA Dan Snaith) and Jacques Greene, both of which highlight the most memorable part of The King of Limbs: Thom Yorke's lithe falsetto. The background jangle from the original "Little By Little" already seems like an instrumental choice Caribou would make, but Snaith removes it from his version, instead playing a music box-like melody and cutting Yorke's vocals into the song's soft, rhythmic pulse. Greene, meanwhile, lets Yorke's voice dance above his "Lotus Flower" remix, but the rest is clean and uncluttered, smoke contained in glass vials. It's easy to hear why he gravitated toward Yorke's "I'll set you free" line in his version: there's lots of room to move inside it.

The 12-inch is out July 4 in the UK and July 5 in the U.S. and Canada. Other remix 12-inches will arrive "... every couple of weeks over the summer until we run out of remixes ... or summer," according to Radiohead's Dead Air Space blog.

Stream the remixes here: