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The musical-mathematical mind : patterns and transformations

Author: Gabriel Pareyón; Silvia Pina-Romero; Octavio A Agustín-Aquino; Emilio Lluis-Puebla
Publisher: Cham, Switzerland : Springer, 2017.
Series: Computational music science.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This book presents a deep spectrum of musical, mathematical, physical, and philosophical perspectives that have emerged in this field at the intersection of music and mathematics. In particular the contributed chapters introduce advanced techniques and concepts from modern mathematics and physics, deriving from successes in domains such as Topos theory and physical string theory. The authors include many of the  Read more...
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Genre/Form: Electronic book
Electronic books
Additional Physical Format: Printed edition:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Gabriel Pareyón; Silvia Pina-Romero; Octavio A Agustín-Aquino; Emilio Lluis-Puebla
ISBN: 9783319473376 3319473379
OCLC Number: 1007699445
Description: 1 online resource
Contents: ""Foreword""; ""Preface""; ""Acknowledgements""; ""Contents""; ""Contributors""; ""Acronyms""; ""Introduction""; ""References""; ""Extended Counterpoint Symmetries and Continuous Counterpoint ""; ""1 Introduction""; ""2 Some Definitions and Notations""; ""3 Extending Counterpoint Symmetries""; ""4 A More Detailed Example""; ""5 A Possible Continuous Counterpoint""; ""6 Some Final Remarks""; ""References""; ""Gödel-Vector and Gödel-Address as Tools for Genealogical Determination of Genetically-Produced Musical Variants""; ""1 Theoretical Foundations of the Research"" ""2 The Gr-System and the GeneMus Complex""""3 The Gödel-Vector and the Gödel-Address""; ""4 Conclusions""; ""References""; ""A Survey of Applications of the Discrete Fourier Transform in Music Theory""; ""1 Introduction""; ""2 Basics""; ""2.1 What is DFT?""; ""2.2 Convolution and Lewin's Problem""; ""2.3 Circulating Matrices""; ""3 Homometry and Spectral Units""; ""4 Tilings""; ""5 Saliency""; ""5.1 Measuring ``fifthishness''""; ""5.2 A Better Approximation of Peaks""; ""6 A Torus of Phases""; ""References""; ""Gestures on Locales and Localic Topoi""; ""1 Introduction"" ""2 Gestures on Topological Spaces""""2.1 Sober Spaces""; ""3 Gestures on Locales""; ""3.1 Locales and Frames""; ""3.2 Motivation""; ""3.3 Construction""; ""3.4 Points and Gestures""; ""4 Gestures on Localic Topoi""; ""5 Comments About Gestures on Sites and Topoi, and Conclusions""; ""References""; ""On the Structural and the Abstract in My Compositional Work""; ""1 Cheltrovype (1968 --
71) for Cello, Trombone, Vibraphone and Percussion""; ""2 Sinophony II (1969 --
72) for Eight-Channel Electronics""; ""3 Stochroma (1972) for Solo Piano"" ""4 Bachanal for Jim Tenney and Tom Johnson (1990) for Solo Piano""""5 Piano Concerto #2 (1961 --
1998) for Piano and Orchestra""; ""6 Les Ciseaux de Tom Johnson (1998) for Chamber Ensemble""; ""7 `` ... or a Cherish'd Bard ... '' (1999) for Solo Piano""; ""8 Approximating Pi (2007) for up to 16 Channels of Electronics""; ""References""; ""A Proposal for a Music Writing for the Visually Impaired""; ""1 Introduction""; ""2 Braille Code""; ""2.1 Literary Braille""; ""2.2 Numbers in Braille""; ""2.3 Music Braille""; ""2.4 Braille Alternatives""; ""3 Music Braille Problems"" ""4 The Need of a New Musicography for the Blind""""5 Proposed Methodology""; ""6 Conclusions""; ""References""; ""Group Theory for Pitch Sequence Representation: From the Obvious to the Emergent Complexity""; ""1 Introduction""; ""2 (L(Sn), °)""; ""3 Piph Music for Algorithmic Composition""; ""4 Translating a Piece of Music into a Single Number""; ""References""; ""Mazzola's Escher Theorem""; ""1 Basic Concepts""; ""2 The Category of Gestures""; ""3 Hypergestures with an Approach to Escher's Theorem""; ""4 Topological Categories and Mazzola's Escher Theorem""; ""References""
Series Title: Computational music science.
Responsibility: Gabriel Pareyon, Silvia Pina-Romero, Octavio A. Agustín-Aquino, Emilio Lluis-Puebla, editors.

Abstract:

This book presents a deep spectrum of musical, mathematical, physical, and philosophical perspectives that have emerged in this field at the intersection of music and mathematics.  Read more...

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