The different types of kings in Ireland:

Rí Ardrí- the mythical "King of Ireland;" it is unclear as to whether anyone actually achieved this position

Rí Ruriech- the highest type of king in medieval ireland, called" king of great kings," this term would be used when descibing a king of great power and status

Rí túath - this is the second type of king in medieval ireland, called a "king of peoples," this term would be used when describing a king that rules 3 to 4 túatha

Rí túaithe- this is the third type of king in medieval ireland, called a "king of people," this term would be used when describing a king that rules one túatha