150 research outputs found
Topology of Networks in Generalized Musical Spaces
The abstraction of musical structures (notes, melodies, chords, harmonic or
rhythmic progressions, etc.) as mathematical objects in a geometrical space is
one of the great accomplishments of contemporary music theory. Building on this
foundation, I generalize the concept of musical spaces as networks and derive
functional principles of compositional design by the direct analysis of the
network topology. This approach provides a novel framework for the analysis and
quantification of similarity of musical objects and structures, and suggests a
way to relate such measures to the human perception of different musical
entities. Finally, the analysis of a single work or a corpus of compositions as
complex networks provides alternative ways of interpreting the compositional
process of a composer by quantifying emergent behaviors with well-established
statistical mechanics techniques. Interpreting the latter as probabilistic
randomness in the network, I develop novel compositional design frameworks that
are central to my own artistic research
Topology of Networks in Generalized Musical Spaces
Leonardo Music Journal, Massachusetts Institute of Technology Press (MIT Press): Arts & Humanities Titles etc, In press. Publication date: December 2020The abstraction of musical structures (notes, melodies, chords, harmonic or rhythmic progressions, etc.) as mathematical objects in a geometrical space is one of the great accomplishments of contemporary music theory. Building on this foundation, I generalize the concept of musical spaces as networks and derive functional principles of compositional design 15 by the direct analysis of the network topology. This approach provides a novel framework for the analysis and quantification of similarity of musical objects and structures, and suggests a way to relate such measures to the human perception of different musical entities. Finally, the analysis of a single work or a corpus of compositions as complex networks provides alternative ways of interpreting the compositional process of a composer by quantifying emergent behaviors with 20 well-established statistical mechanics techniques. Interpreting the latter as probabilistic randomness in the network, I develop novel compositional design frameworks that are central to my own artistic research. One Sentence Summary: Network theory is an innovative tool for the classification of generalized musical spaces and provides a framework for the discovery or generation of functional 25 principles of compositional design
MUSICNTWRK: data tools for music theory, analysis and composition
International audienceWe present the API for MUSICNTWRK, a python library for pitch class set and rhythmic sequences classification and manipulation, the generation of networks in generalized music and sound spaces, deep learning algorithms for timbre recognition, and the sonification of arbitrary data. The software is freely available under GPL 3.0 and can be downloaded at www.musicntwrk.com
Ab-initio transport properties of nanostructures from maximally-localized Wannier functions
We present a comprehensive first-principles study of the ballistic transport
properties of low dimensional nanostructures such as linear chains of atoms
(Al, C) and carbon nanotubes in presence of defects. A novel approach is
introduced where quantum conductance is computed from the combination of
accurate plane-wave electronic structure calculations, the evaluation of the
corresponding maximally-localized Wannier functions, and the calculation of
transport properties by a real-space Green's function method based on the
Landauer formalism. This approach is computationally very efficient, can be
straightforwardly implemented as a post-processing step in a standard
electronic-structure calculation, and allows to directly link the electronic
transport properties of a device to the nature of the chemical bonds, providing
insight onto the mechanisms that govern electron flow at the nanoscale.Comment: to be published in Phys. Rev. B (2003
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Electronic transport in extended systems: Application to carbon nanotubes
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