0000000000266930
AUTHOR
Guerino Mazzola
The Topos of Music III: Gestures Musical Multiverse Ontologies
New element of the Topos book brings together progress in diverse field Presents gesture theory, including a gesture philosophy for music, the mathematics of gestures, concept architectures and software for musical gesture theory, and the multiverse perspective Presents applications of gesture theory, including counterpoint, modulation theory, and free jazz
All About Music: The Complete Ontology: Realities, Semiotics, Communication, and Embodiment
[no abstract]
Global functorial hypergestures over general skeleta for musical performance
Musical performance theory using Lagrangian formalism, inspired by physical string theory, has been described in previous research. That approach was restricted to zero-addressed hypergestures of local character, and also to digraph skeleta of simple arrow type. In this article, we extend the theory to hypergestures that are defined functorially over general topological categories as addresses, are global, and are also defined for general skeleta. We also prove several versions of the important Escher Theorem for this general setup. This extension is highly motivated by theoretical and practical musical performance requirements of which we give concrete examples.
Hypergestures in Complex Time: Creative Performance Between Symbolic and Physical Reality
Musical performance and composition imply hypergestural transformation from symbolic to physical reality and vice versa. But most scores require movements at infinite physical speed that can only be performed approximately by trained musicians. To formally solve this divide between symbolic notation and physical realization, we introduce complex time (\(\mathbb {C}\)-time) in music. In this way, infinite physical speed is “absorbed” by a finite imaginary speed. Gestures thus comprise thought (in imaginary time) and physical realization (in real time) as a world-sheet motion in space-time, corresponding to ideas from physical string theory. Transformation from imaginary to real time gives us…
Cool Math for Hot Music
[no abstract]