6533b85efe1ef96bd12bf48a
RESEARCH PRODUCT
Dense Geometry of Music and Visual Arts: Vanishing Points, Continuous Tonnetz, and Theremin Performance
Irene IaccarinoRosanna IemboMaria Mannonesubject
Settore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciSettore INF/01 - Informaticamedia_common.quotation_subject05 social sciencesSettore ING-INF/02 - Campi Elettromagnetici06 humanities and the artsArtSettore MAT/04 - Matematiche ComplementariContinuum and discrete music theory050105 experimental psychology060404 musicComputer graphics (images)0501 psychology and cognitive sciencesVanishing pointTonnetz0604 artsmedia_commondescription
The dualism between continuous and discrete is relevant in music theory as well as in performance practice of musical instruments. Geometry has been used since longtime to represent relationships between notes and chords in tonal system. Moreover, in the field of mathematics itself, it has been shown that the continuity of real numbers can arise from geometrical observations and reasoning. Here, we consider a geometrical approach to generalize representations used in music theory introducing continuous pitch. Such a theoretical framework can be applied to instrument playing where continuous pitch can be naturally performed. Geometry and visual representations of concepts of music theory and performance strengthen the relationship between music and images: in this way, we can connect a theremin or violin performance with a study on perspective, always through mathematical ideas and paradigms. So can math explain musical concepts, and, on the contrary, can music explain mathematical concepts? Can music and math together give rise to visual arts in ever more innovative ways? In this paper, we try to connect different topics such as musical performance on instruments with continuous pitch, and the paradigm of geometry and continuity.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2018-01-01 |