I learned it in reference to a text called the Magdeburg Centuries, which was some Protestant analysis thing. Apparently it refers to "historians who organize information using 100-year time periods as the common interval" or something.
As far as the factions in the Ripheus story go, I would guess that a group of centuriators would be ecometers ("outside" specialists, so to speak) but IDK, I don't want to just say "the ecometric centuriators"...