It started out being called Rally Obedience, I think, and then got shortened to just Rally over the years in a lot of places. It's the same difference.
A lot of the exercises have their foundation in "doodling" which are basically little drills to help with heeling and such. A lot of the AKC Master exercises have their basis in canine freestyle
For what it's worth, the CKC still calls it Rally Obedience, and the rules for it and regular Obedience are in the same booklet. According to the rulebook dated 1-1-21,CKC titles are Rally Novice (RN), Rally Intermediate (RI), Rally Advanced (RA), Rally Excellent) RE), Rally Master (RM), Rally Advanced Excellent (RAE), Rally Master Excellent (RMX), Rally Champions (RCH) and Rally Grand Champion (RGCH).
Between the US and Canada, there are a dozen different organizations that offer rally titles, either in person and/or by video. There are also a couple of UK based organizations that offer virtual titling.
For what it's worth, the CKC still calls it Rally Obedience, and the rules for it and regular Obedience are in the same booklet. According to the rulebook dated 1-1-21,CKC titles are Rally Novice (RN), Rally Intermediate (RI), Rally Advanced (RA), Rally Excellent) RE), Rally Master (RM), Rally Advanced Excellent (RAE), Rally Master Excellent (RMX), Rally Champions (RCH) and Rally Grand Champion (RGCH).
Between the US and Canada, there are a dozen different organizations that offer rally titles, either in person and/or by video. There are also a couple of UK based organizations that offer virtual titling.