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{ "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/" } ] }