Notoriety is fame for something bad. Gain notoriety, a certain notoriety, notoriety rather than fame.
The difference from fame is the reason: notoriety is being widely known for the wrong thing. It is the noun that goes with notorious, and both have hardened over time — the adjective once meant simply well known, with no judgement in it at all.
1nounnotorietyFame for something bad.
“The quiet town gained notoriety after a famous murder took place there.”
notoriety is a fame.
Medieval Latin notorietas comes from notorius, well known, from noscere, to get to know.
Latin
nōtōrietās
Middle French
notoriété
English, today
notoriety
Built from
Middle French notoriété, from Medieval Latin nōtōrietās, from nōtōrius, from nōtus (“known”), perfect passive participle of nōscō (“get to know”). by surface analysis, notorious + -ety.
Etymology from Wiktionary, CC BY-SA