It was eventually premiered by the duo on December 22, 1981, at the Rencontres Internationales de Musique Contemporaine in Metz.

It is scored for one harpsichord, one vibraphone, two wood blocks, two bongos, three congas, four tom-toms, one bass drum, and seven terracotta flower pots.

As put by Xenakis, Komboï explores "non-octave scales", its rhythm examines "anthypheresis" (displacement of stress), and its timbres exploit "the antitheses or homeophanies of the amplified harpsichord and percussion."

Here, Xenakis explores the relationship of the sonority between a somewhat ordered percussion with the clusters played by the harpsichord.

The second section, marked Crystalline, mixes the harpsichord and the vibraphone, and the relationship between these two instruments seems to fuse more effectively.