Motivic Topologies: Mathematical and Computational Modelling in Music Analysis
نویسندگان
چکیده
This paper discusses a mathematical model together with its computational realization, for the motivic analysis of a piece of music. Relations between the mathematical model (motivic topologies), computational counter-part (OM-Melos), and music analysis are presented in the light of general concepts of computational music analysis, stressing the importance of neutrality and scientific rigour in the modelling part, while preserving the freedom of the analyst.
منابع مشابه
Automated Motivic Analysis: An Exhaustive Approach Based on Closed and Cyclic Pattern Mining in Multidimensional Parametric Spaces
Motivic analysis provides very detailed understanding of musical compositions, but is also particularly difficult to formalize and systematize. A computational automation of the discovery of motivic patterns cannot be reduced to a mere extraction of all possible sequences of descriptions. The systematic approach inexorably leads to a proliferation of redundant structures that needs to be addres...
متن کاملNUMERICAL ANALYSIS OF THE CASIMIR EFFECT DUE TO A SCALAR FIELD
In this paper, we study the Casimir effect of a scalar field with Dirichlet boundary condition in some certain topologies. By numerical analysis we show that Casimir energy is a shape-dependent quantity. We also obtain the phase transition in different topologies in which the Casimir force changes from attractive to repulsive or vice versa. eararqr
متن کاملMotivic pattern extraction in music, and application to the study of Tunisian Modal Music
A new methodology for automated extraction of repeated patterns in time-series data is presented, aimed in particular at the analysis of musical sequences. The basic principles consists in a search for closed patterns in a multi-dimensional parametric space. It is shown that this basic mechanism needs to be articulated with a periodic pattern discovery system, implying therefore a strict chrono...
متن کاملIn-depth Motivic Analysis based on Multiparametric Closed Pattern and Cyclic Sequence Mining
The paper describes a computational system for exhaustive but compact description of repeated motivic patterns in symbolic representations of music. The approach follows a method based on closed heterogeneous pattern mining in multiparametrical space with control of pattern cyclicity. This paper presents a much simpler description and justification of this general strategy, as well as significa...
متن کاملMulti-Dimensional Motivic Pattern Extraction Founded on Adaptive Redundancy Filtering
We present a computational model for discovering repeated patterns in symbolic representations of monodic music. Patterns are discovered through an incremental adaptive identification along a multi-dimensional parametric space. The difficulties of pattern discovery mainly come from combinatorial redundancies, that our model is able to control efficiently. A specificity relation is defined betwe...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2011