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Mathematics and Computation in Music

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Cover of 'Mathematics and Computation in Music'

Table of Contents

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    Book Overview
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    Chapter 1 A Structural Theory of Rhythm Notation Based on Tree Representations and Term Rewriting
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    Chapter 2 Renotation from Optical Music Recognition
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    Chapter 3 Foundations for Reliable and Flexible Interactive Multimedia Scores
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    Chapter 4 Genetic Algorithms Based on the Principles of Grundgestalt and Developing Variation
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    Chapter 5 Mathematics and Computation in Music
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    Chapter 6 Improved Iterative Random Walk for Four-Part Harmonization
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    Chapter 7 Location Constraints for Repetition-Based Segmentation of Melodies
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    Chapter 8 Modeling Musical Structure with Parametric Grammars
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    Chapter 9 Perfect Balance: A Novel Principle for the Construction of Musical Scales and Meters
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    Chapter 10 Characteristics of Polyphonic Music Style and Markov Model of Pitch-Class Intervals
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    Chapter 11 A Corpus-Sensitive Algorithm for Automated Tonal Analysis
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    Chapter 12 Finding Optimal Triadic Transformational Spaces with Dijkstra’s Shortest Path Algorithm
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    Chapter 13 A Probabilistic Approach to Determining Bass Voice Leading in Melodic Harmonisation
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    Chapter 14 Hypergestures in Complex Time: Creative Performance Between Symbolic and Physical Reality
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    Chapter 15 Generating Fingerings for Polyphonic Piano Music with a Tabu Search Algorithm
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    Chapter 16 Logistic Modeling of Note Transitions
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    Chapter 17 Evaluating Singer Consistency and Uniqueness in Vocal Performances
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    Chapter 18 A Change-Point Approach Towards Representing Musical Dynamics
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    Chapter 19 Structural Similarity Based on Time-Span Sub-Trees
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    Chapter 20 Mathematics and Computation in Music
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    Chapter 21 Symbolic Music Similarity Using Neuronal Periodicity and Dynamic Programming
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    Chapter 22 Applications of DFT to the Theory of Twentieth-Century Harmony
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    Chapter 23 Utilizing Computer Programming to Analyze Post-Tonal Music: Contour Analysis of Four Works for Solo Flute
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    Chapter 24 A Statistical Approach to the Global Structure of John Cage’s Number Piece \({Five}^5\)
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    Chapter 25 Exact Cover Problem in Milton Babbitt’s All-Partition Array
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    Chapter 26 Constructing Geometrical Spaces from Acoustical Representations
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    Chapter 27 Geometry, Iterated Quantization and Filtered Voice-Leading Spaces
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    Chapter 28 Using Fundamental Groups and Groupoids of Chord Spaces to Model Voice Leading
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    Chapter 29 All-Interval Structures
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    Chapter 30 Unifying Tone System Definitions: Ordering Chromas
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    Chapter 31 A Categorical Generalization of Klumpenhouwer Networks
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    Chapter 32 The Spinnen-Tonnetz: New Musical Dimensions in the 2D Network for Tonal Music Analysis
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    Chapter 33 Probabilistic Segmentation of Musical Sequences Using Restricted Boltzmann Machines
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    Chapter 34 ¿El Caballo Viejo? Latin Genre Recognition with Deep Learning and Spectral Periodicity
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    Chapter 35 Can a Musical Scale Have 14 Generators?
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    Chapter 36 On the Step-Patterns of Generated Scales that are Not Well-Formed
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    Chapter 37 Triads as Modes within Scales as Modes
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    Chapter 38 Greek Ethnic Modal Names vs. Alia Musica’s Nomenclature
Attention for Chapter 4: Genetic Algorithms Based on the Principles of Grundgestalt and Developing Variation
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Chapter title
Genetic Algorithms Based on the Principles of Grundgestalt and Developing Variation
Chapter number 4
Book title
Mathematics and Computation in Music
Published in
Lecture notes in computer science, June 2015
DOI 10.1007/978-3-319-20603-5_4
Book ISBNs
978-3-31-920602-8, 978-3-31-920603-5
Authors

Carlos de Lemos Almada

Editors

Tom Collins, David Meredith, Anja Volk

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 2 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 2 100%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 1 50%
Student > Master 1 50%
Readers by discipline Count As %
Physics and Astronomy 1 50%
Engineering 1 50%