Game concept
Level of Fame
The game also links it as Levels of Fame.
From the game's encyclopedia
A Character's Level of Fame measures their general reputation, and how well perceived they are by everyone.
Each time a Character gains Prestige, they also progress towards the next Level of Fame.
The Levels are:
• disgraced
• established
• distinguished
• illustrious
• exalted among men
• legendary figure
The game's text for patch 1.20.1.2. Words in blue are entries of the encyclopedia: hover one to read it, as in the game.
Level of Fame is an entry of Crusader Kings III's in-game encyclopedia. The game explains it: "A Character's Level of Fame measures their general reputation, and how well perceived they are by everyone." It is part of Prestige. It covers Level of Fame Impact. The game also links it as Levels of Fame. Patch 1.20.1.2, from game/common/game_concepts/00_game_concepts.txt and game/localization/english/game_concepts_l_english.yml.
Source: game/common/game_concepts/00_game_concepts.txt, game/localization/english/game_concepts_l_english.yml and the English localisation, Crusader Kings III 1.20.1.2.