Deheubarth
The ruler of Deheubarth was King Rhys ab Owain ab Edwin, who had ruled since 1072 and would continue to do so until 1078.
England
The ruler of England was King William I (William the Conqueror), who had ruled since 1066 and would continue to do so until 1087.
Gwynedd
The ruler of Gwynedd at the beginning of 1075 was King Bleddyn ap Cynfyn (Chiefest of the Britons), who had ruled since 1063. This year, King Trahaearn ap Caradog would take over.
Moray
The ruler of Moray at this time was likely to have been Mormaer Máel Snechtai mac Lulaich.
Scotland
The ruler of Scotland was King Malcolm III (The Great Chief), who had ruled since 1058 and would continue to do so until 1093.