6533b874fe1ef96bd12d61e6

RESEARCH PRODUCT

Introduction to Gestural Similarity in Music. An Application of Category Theory to the Orchestra

Maria Mannone

subject

18B05 18B10 16D90 03B52InformationSystems_INFORMATIONINTERFACESANDPRESENTATION(e.g.HCI)History and Overview (math.HO)MathematicsofComputing_GENERALvisual artscomputer.software_genreFuzzy logic050105 experimental psychology060404 musicgesture performance orchestral conducting category theory similarity composition visual arts interdisciplinary studies fuzzy logicinterdisciplinary studiesSimilarity (psychology)FOS: Mathematics0501 psychology and cognitive sciencesCategory Theory (math.CT)Category theoryComposition (language)similaritySettore ING-INF/05 - Sistemi Di Elaborazione Delle InformazioniSettore INF/01 - Informaticabusiness.industryMathematics - History and OverviewApplied Mathematics05 social sciencesMathematics - Category Theory06 humanities and the artsSettore MAT/04 - Matematiche ComplementariComputational Mathematicscategory theorySettore MAT/02 - AlgebraComputer Science::SoundcompositionModeling and SimulationgestureArtificial intelligencefuzzy logicorchestral conductingbusinesscomputer0604 artsMusicNatural language processingperformanceGesturecategory theory; composition; fuzzy logic; gesture; interdisciplinary studies; orchestral conducting; performance; similarity; visual arts

description

Mathematics, and more generally computational sciences, intervene in several aspects of music. Mathematics describes the acoustics of the sounds giving formal tools to physics, and the matter of music itself in terms of compositional structures and strategies. Mathematics can also be applied to the entire making of music, from the score to the performance, connecting compositional structures to acoustical reality of sounds. Moreover, the precise concept of gesture has a decisive role in understanding musical performance. In this paper, we apply some concepts of category theory to compare gestures of orchestral musicians, and to investigate the relationship between orchestra and conductor, as well as between listeners and conductor/orchestra. To this aim, we will introduce the concept of gestural similarity. The mathematical tools used can be applied to gesture classification, and to interdisciplinary comparisons between music and visual arts.

yearjournalcountryeditionlanguage
2019-04-22
https://dx.doi.org/10.48550/arxiv.1904.10340