Giftedness is averaged to make up well less than 5% of the general population, and within that small number, there are subclassifications: mild, moderate, high, exceptional and profound giftedness. Relatively little has been written about the later three of these, with the unfortunate result that the net is cast wide in the existing literature on giftedness. With various levels and concepts of “giftedness” often grouped together into a one-size-fits-all description, the highly, exceptionally and profoundly gifted are misrepresented in important ways. We all know that a mild or moderately gifted person can feel a strong sense of being an “alien” in a group of non-gifted people; so too can a highly, exceptionally or profoundly gifted person feel a strong sense of being an “alien” in a group of mild or moderately gifted people (the same is true between profoundly and highly gifted too, and so on). This article clarifies these differences and why they are important to know about.