In a four-player game, if you have a level 7 Lighthouse Chronologist and there are no other extra-turn effects, the game will proceed like this (with extra turns in brackets): your turn, opponent A’s turn, [your turn], opponent B’s turn, [your turn], opponent C’s turn, [your turn], your turn, opponent A’s turn, and so on. The same principle applies to a multiplayer game with a different number of players.