{"pk":31863,"title":"Using Trajectory Mapping to Analyze Musical Intervals","subtitle":null,"abstract":"Cognitive scientists have often pondered the question of perceptual spaces, that is, the question of how a certain gamut of familiar stimuli might be organized in the mind. W e present Trajectory Mapping as an alternative clustering method to the traditional algorithm of Multi-Dimensional Scaling. We suggest that given data about the relationships among stimuli, Multi-Dimensional Scaling provides the one type of information (geometric), while Trajectory Mapping offers a second type (relational). As an illustration we present the initial results of applying both clustering techniques to subjects' perceptions of musical intervals. While an interpretation of the MultiDimensional Scaling requires a priori knowledge of music theory, Trajectory Mapping directly reveals the music theory that has been internalized by subjects.","language":"eng","license":{"name":"","short_name":"","text":null,"url":""},"keywords":[],"section":"Refereed Papers","is_remote":true,"remote_url":"https://escholarship.org/uc/item/6zz624kk","frozenauthors":[{"first_name":"Stephen","middle_name":"A.","last_name":"Gilbert","name_suffix":"","institution":"Massachusetts Institute of Technology","department":""},{"first_name":"Whitman","middle_name":"","last_name":"Richards","name_suffix":"","institution":"Massachusetts Institute of Technology","department":""}],"date_submitted":null,"date_accepted":null,"date_published":"1994-01-01T18:00:00Z","render_galley":null,"galleys":[{"label":"PDF","type":"pdf","path":"https://journalpub.escholarship.org/cognitivesciencesociety/article/31863/galley/22930/download/"}]}