What is the Latin meaning for the word unique?
The Latin word "unicus" means one and only, sole, unique
The word you require is 'unique'. The word 'unique' is often misused in the sense of 'unusual' or 'rare', but its correct meaning is 'sole' or 'without a like'. It derives from the Latin word for 'one'. Therefore it follows that phrases such as 'more unique', 'fairly unique', and so on are incorrect. Something is either unique or not unique. Full stop.