The field of musical transformational theory, initiated by the work of David Lewin [1], relies on the use of a group structure, in which group elements can be seen as transformations (or as Lewin called them, ”generalized intervals”) be-tween musical objects. In neo-Riemannian theory, the typical set of elements i
The mathematical formalism of category theory allows to investigate musical structures at both low a...
Recent developments in music theory have offered new ways of analyzing and interpreting music that u...
The use of abstract groups marked an important change in Xenakis' compositional processes. Whereas "...
Since the seminal work of David Lewin [1], the field of music theory has seen huge developments with...
This paper considers groups of musical contextual transformations, the most famous of which is the g...
One goal of music theory is to describe the resources of a pitch system. Traditionally, the study of...
Transformational music theory mainly deals with group and group actions on sets, which are usually c...
International audienceTransformational music theory, pioneered by the work of Lewin, shifts the musi...
Among the techniques associated with the theory of musical transformations, network analysis stands ...
Recent developments in music theory have offered new ways of analyzing and interpreting music that u...
In this paper, some concepts of modular arithmetic and group theory are firstly introduced. Then, so...
[1] About GAP [1.1] GAP (an acronym for Groups, Algorithms, and Programming) is a mathematical softw...
This project examines two types of music analysis—rhythmic reduction and Schenkerian graphing—by def...
Musical scales may be interpreted as specific increasing sequences of real numbers. Periodic scales,...
Includes vita and abstract. --- Thesis (Ph.D.)--University of Rochester, 2000. --- v. 1. Text -- v. ...
The mathematical formalism of category theory allows to investigate musical structures at both low a...
Recent developments in music theory have offered new ways of analyzing and interpreting music that u...
The use of abstract groups marked an important change in Xenakis' compositional processes. Whereas "...
Since the seminal work of David Lewin [1], the field of music theory has seen huge developments with...
This paper considers groups of musical contextual transformations, the most famous of which is the g...
One goal of music theory is to describe the resources of a pitch system. Traditionally, the study of...
Transformational music theory mainly deals with group and group actions on sets, which are usually c...
International audienceTransformational music theory, pioneered by the work of Lewin, shifts the musi...
Among the techniques associated with the theory of musical transformations, network analysis stands ...
Recent developments in music theory have offered new ways of analyzing and interpreting music that u...
In this paper, some concepts of modular arithmetic and group theory are firstly introduced. Then, so...
[1] About GAP [1.1] GAP (an acronym for Groups, Algorithms, and Programming) is a mathematical softw...
This project examines two types of music analysis—rhythmic reduction and Schenkerian graphing—by def...
Musical scales may be interpreted as specific increasing sequences of real numbers. Periodic scales,...
Includes vita and abstract. --- Thesis (Ph.D.)--University of Rochester, 2000. --- v. 1. Text -- v. ...
The mathematical formalism of category theory allows to investigate musical structures at both low a...
Recent developments in music theory have offered new ways of analyzing and interpreting music that u...
The use of abstract groups marked an important change in Xenakis' compositional processes. Whereas "...