concatenative

Linked in a series or order of things depending on each other, as if linked together; successive.

In fact the titles could be anything – or (with some of the most puissant) no title at all, but they could all be identified as "flappers" by function: each one held arbitrary and concatenative veto over any attempted communication from the outside world to the Great Man who was the nominal superior of the flapper.

Operating by concatenation.

concatenative synthesis