A Mathematical Framework for Reading the Autopsias' Meta - Compositional System
arXiv:2607.28155
The paper proposes a mathematical framework based on topological concepts to analyze and improve the readability of dynamically generated musical scores, using the Autopsias meta‑compositional system as a case study.
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.
13 pages, 12 figures, 11 equations