Codex is the closest The King Of Limbs comes to touching on material from Radiohead’s earlier career. It’s one of the least percussively-driven tracks, based instead around reverb-drenched piano chords and one of Yorke’s more coherent vocal performances on the album.
In terms of arrangement, you can hear a lot of Johnny Greenwood’s influence coming through. As the song moves on the piano part is joined by a stripped-down orchestral backing with horn and string parts reminiscent of a lot of the soundtrack and classical composition work that Greenwood has embarked on over the past few years.
There’s also a slight resembalance to the tribute to WWI veteran Harry Patch that Yorke and Greenwood recorded back in 2009.
In terms of Radiohead’s back catalogue it’s closest comparisons are probably In Rainbows’ Nude or Amnesiac's Pyramid Song. In all an example of the kind of great, minimal down-tempo song that Radiohead do so well.