I've almost always had better luck in attracting geese with high pitched calls than with lower pitched calls. Most calls will allow you to make high pitched notes, but often those which are tuned to favor the lower pitched require a lot of air to make the high pitched notes. So, I carry two calls on the lanyard, one tuned high pitched to make the high pitched notes easy and another tuned to deliver a lower pitch easily.
Generally, I've noticed that if you're trying to simulate calm resting or feeding geese, that's easier with a lower pitched call, while simulating excited geese is easier with a high pitched call. If you have a lot of air, you may be able to make one call work perfectly well from one end of the spectrum to the other. But, if you have an air volume issue, as I do, it's simply easier to carry two calls, tuned differently and give them whatever they seem to prefer.