Much research has explored cognitive functions and the nature of information processing since the cognitive revolution began with the advent of computers in the 1950s. With the establishing of music psychology attention was directed also to the cognition and processing of music. However, the initial reluctance of Science to avoid the study of emotions became a problem especially in studying music; which is a cultural phenomenon with the inherent ability to trigger strong affective responses. The Multi-Dimensional Model of Musical Giftedness (3MG) takes the significance of affective responses and emotive skills into account in outlining the likely constituents of musical giftedness domains. Based on available research a conceptual model is outlined as based on domain generality and domain specificity, thus proposing an understanding of musical giftedness as a set of core skills and sets of key skills particular to different musical domains.