The council website gives clear information about residents’ and visitors’ car parking permits but since it is less easy to find the requirements for motorcycle permits, here is the link:
http://www.edinburgh.gov.uk/info/20276/parking_spaces/565/motorcycles_coaches_buses_long_and_large_vehicles_and_caravans
A permit must be displayed but they are free of charge and motorcycles must be parked perpendicular to the kerb.