http://www.lydianchromaticconcept.com/lccoto.html
From this page, you see that the "Lydian Chromatic" chord he lists is basically this:
C E G B d f# a
Look at every other note, in pairs, now:
C G
E B
G d
B f#
d a
They are all fifths. You'll also notice that the ascending order of the original notes goes major 3rd - minor 3rd - major 3rd - minor 3rd, etc.
I got about that far before stopping because the whole thing sounded like it was co-authored by this fella:
http://www.timecube.com