Bigger Musical Nods in Movie

My take on the White Tiles on the floor is that they signify the very latest artform in this McMansion hotch potch to which Dave returns, ie the White Album by the Beatles.  We know that Kubrick was talking to the Beatles at that time about a Beatles version of Lord of the Ring and that Kubrick had said it was just too big an undertaking [which was probably code for his assessment that The Beatles were simply not serious actors].  So it is likely that they came to a compromise by agreeing to include the tiles and the song Long, Long, Long [or a hint as shown below].

This would tie in perfectly with The Beatles' story of the vibrating bottle of Blue Nun wine that is recorded at the end of the song and mimicked by Ringo with a drum roll.  The fact it was Blue Nun would have slotted perfectly into the "crass" nature of all the other "artforms" that Americans unceremoniously accumulate and lump together into a McMansion soup.

Small Musical Nods to Movie

David Bowie performed the song A Space Oddity as a type of nod to this movie:

Then he added StarMan

Hope you like the video associations I rendered.