The musical-mathematical mind : patterns and transformations /: patterns and transformations. (2017)

• Record Type: Book
• Further Information: Note: Gabriel Pareyon, Silvia Pina-Romero, Octavio A. Agustín-Aquino, Emilio Lluis-Puebla, editors.
• Editors: Pareyón, Gabriel, 1974-; Pina-Romero, Silvia; Agustín-Aquino, Octavio A; Lluis-Puebla, Emilio, 1952-
• 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""
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2017
• Extent: 1 online resource
• Subjects: 780/.0519; Computer science; Music -- Mathematics; Music -- Psychological aspects; MUSIC -- Genres & Styles -- Classical; MUSIC -- Reference; Music -- Mathematics; Music -- Psychological aspects; Music -- General; Mathematics -- Applied; Computers -- Data Processing; Music; Applied mathematics; Mathematical theory of computation; Information systems; Music; Computers -- Computer Science; Humanities; Electronic books
• Languages: English
• ISBNs: 9783319473376; 3319473379
• Related ISBNs: 9783319473369; 3319473360
• Notes: Note: Online resource; title from PDF title page (Ebsco, viewed October 27, 2017).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.