Search results for "gestural similarity"

showing 3 items of 3 documents

Categories, Musical Instruments, and Drawings: A Unification Dream

2019

The mathematical formalism of category theory allows to investigate musical structures at both low and high levels, performance practice (with musical gestures) and music analysis. Mathematical formalism can also be used to connect music with other disciplines such as visual arts. In our analysis, we extend former studies on category theory applied to musical gestures, including musical instruments and playing techniques. Some basic concepts of categories may help navigate within the complexity of several branches of contemporary music research, giving it a unitarian character. Such a 'unification dream,' that we can call 'cARTegory theory,' also includes metaphorical references to topos th…

Contemporary classical musicSettore INF/01 - InformaticaUnificationInformationSystems_INFORMATIONINTERFACESANDPRESENTATION(e.g.HCI)MusicalSettore MAT/04 - Matematiche ComplementariLinguisticsTopos theorySettore MAT/02 - AlgebraCharacter (mathematics)Music theoryGestural similarityCategory theory; Classifying toposes; Gestural similarityClassifying toposesCategory theoryPsychologyCategory theoryGesture
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Quantum GestART: Identifying and Applying Correlations between Mathematics, Art, and Perceptual Organization

2020

Mathematics can help analyze the arts and inspire new artwork. Mathematics can also help make transformations from one artistic medium to another, considering exceptions and choices, as well as artists' individual and unique contributions. We propose a method based on diagrammatic thinking and quantum formalism. We exploit decompositions of complex forms into a set of simple shapes, discretization of complex images, and Dirac notation, imagining a world of "prototypes" that can be connected to obtain a fine or coarse-graining approximation of a given visual image. Visual prototypes are exchanged with auditory ones, and the information (position, size) characterizing visual prototypes is con…

FOS: Computer and information sciencesdiagrams; Dirac notation; Gestalt; Gestural similarity; sonificationmedia_common.quotation_subjectHistory and Overview (math.HO)ComputerApplications_COMPUTERSINOTHERSYSTEMSThe artsGestaltBra–ket notationPerceptionGestural similarityFOS: MathematicssonificationQuantummedia_commonCognitive scienceSettore INF/01 - InformaticaMathematics - History and OverviewApplied MathematicsSettore MAT/04 - Matematiche ComplementariMultimedia (cs.MM)Gestural similarity Gestalt diagrams Dirac notation sonificationComputational MathematicsdiagramsSonificationModeling and SimulationGestalt psychologyDirac notationInformationSystems_MISCELLANEOUSSettore ING-INF/05 - Sistemi di Elaborazione delle InformazioniComputer Science - MultimediaMusic
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cARTegory Theory: Framing Aesthetics of Mathematics

2019

Mathematics can help investigate hidden patterns and structures in music and visual arts. Also, math in and of itself possesses an intrinsic beauty. We can explore such a specific beauty through the comparison of objects and processes in math with objects and processes in the arts. Recent experimental studies investigate the aesthetics of mathematical proofs compared to those of music. We can contextualize these studies within the framework of category theory applied to the arts (cARTegory theory), thanks to the helpfulness of categories for the analysis of transformations and transformations of transformations. This approach can be effective for the pedagogy of mathematics, mathematical mu…

ProofSettore MAT/02 - AlgebraFraming (social sciences)gestural similarityAestheticsElegancemedia_common.quotation_subjectcrossmodal correspondencescategorieseleganceSettore MAT/04 - Matematiche Complementariproof; elegance; crossmodal correspondences; gestural similarity; categoriesmedia_common
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