🤖 AI Summary
This study addresses the limited readability of dynamic music notation systems—such as Autopsias—which hinders effective communication between composers and performers. For the first time, it systematically introduces mathematical tools from topology to construct an analytical framework grounded in topological concepts, elucidating the transformation mechanism from static scores to dynamically computed reconstructions. Integrating pitch-class set theory, algorithmic reconstruction, and models of performative behavior, the work proposes an extended set of orthographic rules that go beyond traditional notation. The findings demonstrate that this mathematical approach effectively reveals the informational structure inherent in dynamic scores, thereby enhancing their readability and practical utility in human–computer collaborative performance, and laying a theoretical foundation for future developments in dynamic musical notation.
📝 Abstract
Background. New forms of music writing using computers have arisen in the past 20 years. Most of them use the capacities of digital manipulation of data like animation, algorithmic processing, cinematic view, and much more. These scores use dynamic musicography, and all of them share a problem. They have readability problems. We will argue that this problem can be addressed by mathematical tools. Aims. Take the Autopsias [Autopsies] meta-compositional system as a study case for starting the construction of a mathematical framework that can overview the readability for cynetic musicography. The Autopsias system is the process of transforming a musical score dynamically. Methodology. We will start to build a mathematical framework by taking a group of basic topological concepts, and applying them after a bridge between a printed score and a dynamic computational re-appropriation of it has taken place. We will observe the writing and the performing of the several performances of the Autopsias composition, and analyze them from a mathematical perspective, in order to get the ability to start constructing a new set of orthographical tools for the performance of dynamic musicography. Main Contribution. The performances of Autopsias show that mathematics, as with pitch-class sets, can be helpful for understanding music information, as well as its performance. Also show the necessity of augmenting the set of orthographic rules, in order to improve the dialog between composers and performers.