After the overwhelming response to the Nude Remix Project, Radiohead are giving fans the opportunity to remix “Reckoner,” another track from the band’s latest album In Rainbows, here.

To make remixing easy, the separate ’stems’* from the song will be available to purchase on iTunes. The ’stems’ available are bass, lead vocal, backing vocals, guitars, piano/strings and drums. All six stems will be available to buy for the price of a single track. Fans can mix them in any way they like, either by adding their own beats and instrumentation, or just remixing the original parts.

Fans who purchase the ’stems’ from iTunes during the first two weeks they’re available will be sent an access code to a GarageBand file ready to open in GarageBand or Logic. However, you don’t need GarageBand to do a remix; the stems are available in the DRM-free iTunes Plus format and compatible with several music software platforms.

Finished mixes can be uploaded to http://www.radioheadremix.com where the public will listen and vote for their favorite. Fans can also create a widget allowing votes from their own website, Facebook or MySpace page to be counted as ‘mix votes’ back on radioheadremix.com.

*’stems’ are the component parts of the song.

Here’s your source of inspiration: