Mathematics and Computation in Music/

By: CollinsMaterial type: TextTextISBN: 978-3-319-20603-5 Online resources: Click here to access online
Contents:
A Structural Theory of Rhythm Notation Based on Tree Representations and Term Rewriting Florent Jacquemard, Pierre Donat-Bouillud, Jean Bresson Renotation from Optical Music Recognition Liang Chen, Rong Jin, Christopher Raphael Music Generation Foundations for Reliable and Flexible Interactive Multimedia Scores Jaime Arias, Myriam Desainte-Catherine, Carlos Olarte, Camilo Rueda Genetic Algorithms Based on the Principles of Grundgestalt and Developing Variation Carlos de Lemos Almada Describing Global Musical Structures by Integer Programming on Musical Patterns Tsubasa Tanaka, Koichi Fujii Improved Iterative Random Walk for Four-Part Harmonization Raymond Whorley, Darrell Conklin Location Constraints for Repetition-Based Segmentation of Melodies Marcelo E. Rodríguez-López, Anja Volk Modeling Musical Structure with Parametric Grammars Mathieu Giraud, Sławek Staworko Perfect Balance: A Novel Principle for the Construction of Musical Scales and Meters Andrew J. Milne, David Bulger, Steffen A. Herff, William A. Sethares Characteristics of Polyphonic Music Style and Markov Model of Pitch-Class Intervals Eita Nakamura, Shinji Takaki A Corpus-Sensitive Algorithm for Automated Tonal Analysis Christopher Wm. White Finding Optimal Triadic Transformational Spaces with Dijkstra’s Shortest Path Algorithm Ryan Groves A Probabilistic Approach to Determining Bass Voice Leading in Melodic Harmonisation Dimos Makris, Maximos Kaliakatsos-Papakostas, Emilios Cambouropoulos Hypergestures in Complex Time: Creative Performance Between Symbolic and Physical Reality Maria Mannone, Guerino Mazzola Generating Fingerings for Polyphonic Piano Music with a Tabu Search Algorithm Matteo Balliauw, Dorien Herremans, Daniel Palhazi Cuervo, Kenneth Sörensen Logistic Modeling of Note Transitions Luwei Yang, Elaine Chew, Khalid Z. Rajab Evaluating Singer Consistency and Uniqueness in Vocal Performances Johanna Devaney A Change-Point Approach Towards Representing Musical Dynamics Katerina Kosta, Oscar F. Bandtlow, Elaine Chew Similarity and Contrast Structural Similarity Based on Time-Span Sub-Trees Masatoshi Hamanaka, Keiji Hirata, Satoshi Tojo Cross Entropy as a Measure of Musical Contrast Robin Laney, Robert Samuels, Emilie Capulet Symbolic Music Similarity Using Neuronal Periodicity and Dynamic Programming Rafael Valle, Adrian Freed Post-tonal Music Analysis Front Matter Applications of DFT to the Theory of Twentieth-Century Harmony Jason Yust Utilizing Computer Programming to Analyze Post-Tonal Music: Contour Analysis of Four Works for Solo Flute Kate Sekula A Statistical Approach to the Global Structure of John Cage’s Number Piece Five5 Alexandre Popoff Exact Cover Problem in Milton Babbitt’s All-Partition Array Brian Bemman, David Meredith Geometric Approaches Constructing Geometrical Spaces from Acoustical Representations Özgür İzmirli Geometry, Iterated Quantization and Filtered Voice-Leading Spaces Clifton Callender Using Fundamental Groups and Groupoids of Chord Spaces to Model Voice Leading James R. Hughes All-Interval Structures Robert W. Peck Unifying Tone System Definitions: Ordering Chromas Tobias Schlemmer A Categorical Generalization of Klumpenhouwer Networks Alexandre Popoff, Moreno Andreatta, Andrée Ehresmann The Spinnen-Tonnetz: New Musical Dimensions in the 2D Network for Tonal Music Analysis Gilles Baroin, Hugues Seress Deep Learning Probabilistic Segmentation of Musical Sequences Using Restricted Boltzmann Machines Stefan Lattner, Maarten Grachten, Kat Agres, Carlos Eduardo Cancino Chacón El Caballo Viejo? Latin Genre Recognition with Deep Learning and Spectral Periodicity Bob L. Sturm, Corey Kereliuk, Jan Larsen Can a Musical Scale Have 14 Generators? Emmanuel Amiot On the Step-Patterns of Generated Scales that are Not Well-Formed Marco Castrillón López, Manuel Domínguez Romero Triads as Modes within Scales as Modes Thomas Noll Greek Ethnic Modal Names vs. Alia Musica’s Nomenclature David Clampitt, Jennifer Shafer
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A Structural Theory of Rhythm Notation Based on Tree Representations and Term Rewriting
Florent Jacquemard, Pierre Donat-Bouillud, Jean Bresson

Renotation from Optical Music Recognition
Liang Chen, Rong Jin, Christopher Raphael

Music Generation

Foundations for Reliable and Flexible Interactive Multimedia Scores
Jaime Arias, Myriam Desainte-Catherine, Carlos Olarte, Camilo Rueda

Genetic Algorithms Based on the Principles of Grundgestalt and Developing Variation
Carlos de Lemos Almada

Describing Global Musical Structures by Integer Programming on Musical Patterns
Tsubasa Tanaka, Koichi Fujii

Improved Iterative Random Walk for Four-Part Harmonization
Raymond Whorley, Darrell Conklin

Location Constraints for Repetition-Based Segmentation of Melodies
Marcelo E. Rodríguez-López, Anja Volk

Modeling Musical Structure with Parametric Grammars
Mathieu Giraud, Sławek Staworko

Perfect Balance: A Novel Principle for the Construction of Musical Scales and Meters
Andrew J. Milne, David Bulger, Steffen A. Herff, William A. Sethares

Characteristics of Polyphonic Music Style and Markov Model of Pitch-Class Intervals
Eita Nakamura, Shinji Takaki

A Corpus-Sensitive Algorithm for Automated Tonal Analysis
Christopher Wm. White

Finding Optimal Triadic Transformational Spaces with Dijkstra’s Shortest Path Algorithm
Ryan Groves

A Probabilistic Approach to Determining Bass Voice Leading in Melodic Harmonisation
Dimos Makris, Maximos Kaliakatsos-Papakostas, Emilios Cambouropoulos

Hypergestures in Complex Time: Creative Performance Between Symbolic and Physical Reality
Maria Mannone, Guerino Mazzola

Generating Fingerings for Polyphonic Piano Music with a Tabu Search Algorithm
Matteo Balliauw, Dorien Herremans, Daniel Palhazi Cuervo, Kenneth Sörensen

Logistic Modeling of Note Transitions
Luwei Yang, Elaine Chew, Khalid Z. Rajab

Evaluating Singer Consistency and Uniqueness in Vocal Performances
Johanna Devaney

A Change-Point Approach Towards Representing Musical Dynamics
Katerina Kosta, Oscar F. Bandtlow, Elaine Chew

Similarity and Contrast

Structural Similarity Based on Time-Span Sub-Trees
Masatoshi Hamanaka, Keiji Hirata, Satoshi Tojo

Cross Entropy as a Measure of Musical Contrast
Robin Laney, Robert Samuels, Emilie Capulet

Symbolic Music Similarity Using Neuronal Periodicity and Dynamic Programming
Rafael Valle, Adrian Freed

Post-tonal Music Analysis
Front Matter

Applications of DFT to the Theory of Twentieth-Century Harmony
Jason Yust

Utilizing Computer Programming to Analyze Post-Tonal Music: Contour Analysis of Four Works for Solo Flute
Kate Sekula

A Statistical Approach to the Global Structure of John Cage’s Number Piece Five5
Alexandre Popoff

Exact Cover Problem in Milton Babbitt’s All-Partition Array
Brian Bemman, David Meredith

Geometric Approaches

Constructing Geometrical Spaces from Acoustical Representations
Özgür İzmirli

Geometry, Iterated Quantization and Filtered Voice-Leading Spaces
Clifton Callender

Using Fundamental Groups and Groupoids of Chord Spaces to Model Voice Leading
James R. Hughes

All-Interval Structures
Robert W. Peck

Unifying Tone System Definitions: Ordering Chromas
Tobias Schlemmer

A Categorical Generalization of Klumpenhouwer Networks
Alexandre Popoff, Moreno Andreatta, Andrée Ehresmann

The Spinnen-Tonnetz: New Musical Dimensions in the 2D Network for Tonal Music Analysis
Gilles Baroin, Hugues Seress

Deep Learning

Probabilistic Segmentation of Musical Sequences Using Restricted Boltzmann Machines
Stefan Lattner, Maarten Grachten, Kat Agres, Carlos Eduardo Cancino Chacón

El Caballo Viejo? Latin Genre Recognition with Deep Learning and Spectral Periodicity
Bob L. Sturm, Corey Kereliuk, Jan Larsen

Can a Musical Scale Have 14 Generators?
Emmanuel Amiot

On the Step-Patterns of Generated Scales that are Not Well-Formed
Marco Castrillón López, Manuel Domínguez Romero

Triads as Modes within Scales as Modes
Thomas Noll

Greek Ethnic Modal Names vs. Alia Musica’s Nomenclature
David Clampitt, Jennifer Shafer

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