Under MANIFESTING TURNS it seems that there's a Faction Turn about every time a score ends.
However, in the first pages it says "At the start of a new season of play, activate between 3 to 5 factions to take place in the faction turn." Later, it says "When time passes and power in the city shifts, play a faction turn."
So, I'm not sure about how many times I should roll have those Faction Turns. From what I understand, when a new Season is starting, we need to make one. Then, not sure if we should have one Faction Turn after every Score, or if it's a more free thing, maybe more based on the amount of fictional time passed AND how many changes there was in the City (i.e. following the instruction on the first page more than those on second page).