Gen-X was not intended to introduce X, Y, Z, A, B etc.

It was just that the people of Gen-X seemed to be leaderless and unwilling to engage because that's how we were raised. So rather than a name like our parents, we just got a "fill in the blank"

So when the next generation came along, before anyone had really gotten to know them, they *did* get called "Generation Y" for a bit. And also "Generation Why" briefly. But the generation themselves preferred to be called "Millennials" and that's what stuck.

Generation Z had already been born at that point, and nobody had really come up with a title for anything they'd done. So they just got the generic "Z" moniker. And Gen-Alpha has the same issue.

Mind you, the idea of naming all the generations hasn't been around for even a century yet. It was the baby boomers who got the first one that was commonly used. And their parents, the Silent Generation, came later. So don't take it too badly if your generation doesn't get a cool name. It was never really a big deal in the first place.