Basie comping — the Count Basie piano chair: almost nothing. While Freddie Green's guitar chops four even quarters and the bass walks, the piano drops a handful of short three-note "plinks" up in the fifth and sixth octave, on the swung and-of-2, on 2, on 4 — six chords in four bars. The time is already complete without the piano; the plinks are punctuation.
The off-beats are swung, written at triplet positions (the and-of-2 is 1.667). The drums keep the swing ride with the hi-hat on 2 and 4.
Listen for how loud the silence is: each plink sits in a hole the guitar and ride leave, and the register keeps it out of the guitar's way. Practice: play the guitar and bass alone for a chorus, then add only the plinks, staccato and light — if you feel the urge to fill a bar, leave it empty. Compare freddie-green (the guitar on its own) and red-garland-comp (a busier pianist on the same grid).