From the blog "SLSF Reloaded - Guidebook"

Overview In SLSF Reloaded, gaining fame is similar to the old SLSF. There are "Periodic Increases" and "Event-Based Increases".   Periodic Increases are scheduled to happen once every 30 in-game minutes, while Event-Based Increases happen when your character does something that warrants a Fame Increase.   Like the old SLSF, if your character is considered "Anonymous" then you will not gain fame until you are not considered Anonymous.   The maximum fame you can