The big issue, of course, is how to reconcile the different lapses since last merit increase between people. The calendar year method makes budgeting increases much, much easier and it's a good plan to go to. The only versions I've seen of this, big company or small, is to prorate the bump based on time served (er, I mean, tenure). So a person who worked 9 months gets .75x their regular increase and a person who worked 3 months get .25x, etc.
Some people will get a second raise in short succession but at, for example, 1/12th value, it's pretty insubstantial. Nevertheless, this causes some drama. Alternatively, some people get a reasonably decent raise in under a year (e.g., 10/12ths value of a good merit increase), which also causes some drama. Typically, you can't mess with the money of every person in your company and not get some drama but at least this is mathematically fair.