The Brits have run several types of tanks regiments recently - the Type 56, Type 58 and Type 44. The numbers refer to the number of tanks in the regiment regardless of the number of recce vehs or squadrons in the regt.
Type 44 and 56 are three-squadron regiments. The Type 44 with 14 tanks per sqn and 2 in the Regt HQ. The Type 56 has 18 tanks per sqn and 2 in the HQ. The Type 58 has four squadrons and I'm not sure exactly how they are distributed. Type 44s generally had a larger number of recce vehs than the Type 58. Type 44 and 58 were older organizations and the current at this time seems to be the three-squadron Type 56 which also has a recce sqn.
I tend to use the term Type 59 because Canada generally has 19 tanks in a squadron and should also have two in the HQ for a total of 59. Interestingly, the older CFP 305-1 from 1990 called for a Canadian armoured regiment to have four tank squadrons and a recce troop. I'm not sure if that ever happened on the ground. When I left the RegF in 1981, the RCD in Germany were established with three tank squadrons, but I'm not sure if they ever had a flyover 4th squadron the same way that 1 RCHA had a flyover 4th M109 battery.