The mathematical formalism of category theory allows to investigate musical structures at both low and high levels, performance practice (with musical gestures) and music analysis. Mathematical formalism can also be used to connect music with other disciplines such as visual arts. In our analysis, we extend former studies on category theory applied to musical gestures, including musical instruments and playing techniques. Some basic concepts of categories may help navigate within the complexity of several branches of contemporary music research, giving it a unitarian character. Such a ‘unification dream,’ that we can call ‘cARTegory theory,’ also includes metaphorical references to topos theory
Mathemusical Conversations celebrates the understanding of music through mathematics, and the apprec...
Links between music and mathematics is always been an important research topic ever. Serious attempt...
This project examines two types of music analysis—rhythmic reduction and Schenkerian graphing—by def...
The mathematical formalism of category theory allows to investigate musical structures at both low a...
cote interne IRCAM: Mazzola07aNone / NoneNational audienceThis paper shows an interplay of music and...
Mathematics can help investigate hidden patterns and structures in music and visual arts. Also, math...
Mathematics, and more generally computational sciences, intervene in several aspects of music. Mathe...
Arts, including music, seem to be far away from mathematical rigor. However, some mathematical const...
Can we use mathematics, and in particular the abstract branch of category theory, to describe some b...
Powerful abstraction of mathematical category theory can be used to describe musical procedures and ...
When we think of 'concrete' things, we first think of the earth, with trees and plants. When we thin...
Music offers a challenging array of representation problems. As an art form, music is distinguished ...
Music and mathematics have a lot of common grounds. They both involve processes of thought, but wher...
If abstraction makes mathematics strong, it often makes it also hard to learn, if not discouraging. ...
Mathemusical Conversations celebrates the understanding of music through mathematics, and the apprec...
Links between music and mathematics is always been an important research topic ever. Serious attempt...
This project examines two types of music analysis—rhythmic reduction and Schenkerian graphing—by def...
The mathematical formalism of category theory allows to investigate musical structures at both low a...
cote interne IRCAM: Mazzola07aNone / NoneNational audienceThis paper shows an interplay of music and...
Mathematics can help investigate hidden patterns and structures in music and visual arts. Also, math...
Mathematics, and more generally computational sciences, intervene in several aspects of music. Mathe...
Arts, including music, seem to be far away from mathematical rigor. However, some mathematical const...
Can we use mathematics, and in particular the abstract branch of category theory, to describe some b...
Powerful abstraction of mathematical category theory can be used to describe musical procedures and ...
When we think of 'concrete' things, we first think of the earth, with trees and plants. When we thin...
Music offers a challenging array of representation problems. As an art form, music is distinguished ...
Music and mathematics have a lot of common grounds. They both involve processes of thought, but wher...
If abstraction makes mathematics strong, it often makes it also hard to learn, if not discouraging. ...
Mathemusical Conversations celebrates the understanding of music through mathematics, and the apprec...
Links between music and mathematics is always been an important research topic ever. Serious attempt...
This project examines two types of music analysis—rhythmic reduction and Schenkerian graphing—by def...