Mathematical and Computational Modeling of Tonality

Mathematical and Computational Modeling of Tonality PDF Author: Elaine Chew
Publisher: Springer Science & Business Media
ISBN: 1461494753
Category : Business & Economics
Languages : en
Pages : 305

View

Book Description
From the Preface: Blending ideas from operations research, music psychology, music theory, and cognitive science, this book aims to tell a coherent story of how tonality pervades our experience, and hence our models, of music. The story is told through the developmental stages of the Spiral Array model for tonality, a geometric model designed to incorporate and represent principles of tonal cognition, thereby lending itself to practical applications of tonal recognition, segmentation, and visualization. Mathematically speaking, the coils that make up the Spiral Array model are in effect helices, a spiral referring to a curve emanating from a central point. The use of “spiral” here is inspired by spiral staircases, intertwined spiral staircases: nested double helices within an outer spiral. The book serves as a compilation of knowledge about the Spiral Array model and its applications, and is written for a broad audience, ranging from the layperson interested in music, mathematics, and computing to the music scientist-engineer interested in computational approaches to music representation and analysis, from the music-mathematical and computational sciences student interested in learning about tonality from a formal modeling standpoint to the computer musician interested in applying these technologies in interactive composition and performance. Some chapters assume no musical or technical knowledge, and some are more musically or computationally involved.

Mathematical and Computational Modeling of Tonality

Mathematical and Computational Modeling of Tonality PDF Author: Elaine Chew
Publisher: Springer
ISBN: 9781489979292
Category : Business & Economics
Languages : en
Pages : 305

View

Book Description
From the Preface: Blending ideas from operations research, music psychology, music theory, and cognitive science, this book aims to tell a coherent story of how tonality pervades our experience, and hence our models, of music. The story is told through the developmental stages of the Spiral Array model for tonality, a geometric model designed to incorporate and represent principles of tonal cognition, thereby lending itself to practical applications of tonal recognition, segmentation, and visualization. Mathematically speaking, the coils that make up the Spiral Array model are in effect helices, a spiral referring to a curve emanating from a central point. The use of “spiral” here is inspired by spiral staircases, intertwined spiral staircases: nested double helices within an outer spiral. The book serves as a compilation of knowledge about the Spiral Array model and its applications, and is written for a broad audience, ranging from the layperson interested in music, mathematics, and computing to the music scientist-engineer interested in computational approaches to music representation and analysis, from the music-mathematical and computational sciences student interested in learning about tonality from a formal modeling standpoint to the computer musician interested in applying these technologies in interactive composition and performance. Some chapters assume no musical or technical knowledge, and some are more musically or computationally involved.

Mathemusical Conversations

Mathemusical Conversations PDF Author: Jordan B L Smith
Publisher: World Scientific
ISBN: 9813140119
Category : Computers
Languages : en
Pages : 316

View

Book Description
Mathemusical Conversations celebrates the understanding of music through mathematics, and the appreciation of mathematics through music. This volume is a compilation of the invited talks given at the Mathemusical Conversations workshop that took place in Singapore from 13–15 February 2015, organized by Elaine Chew in partnership with Gérard Assayag for the scientific program and with Bernard Lanskey for the artistic program. The contributors are world experts and leading scholars, writing on the intersection of music and mathematics. They also focus on performance and composition, two topics which are foundational both to the understanding of human creativity and to the creation of tomorrow's music technologies. This book is essential reading for researchers in both music and mathematics. It will also appeal more broadly to scholars, students, musicians, and anyone interested in new perspectives on the intimate relationship between these two universal human activities. Contents:Foreword by Series EditorsForeword by Workshop OrganizersMathemusical Engagement:Without Our Consent (Paul Schoenfield)Approaches to Musical Expression in Harmonix Video Games (Eran Egozy)Motion and Gravitation in the Musical Spheres (Elaine Chew)Mathemusical Creativity:Improvising in Creative Symbolic Interaction (Gérard Assayag)Music, Creativity, and Computers (Margaret A Boden)Tiling Canons as a Key to Approaching Open Mathematical Conjectures? (Moreno Andreatta)Shaping Performance:Musical Motives in Performance: A Study of Absolute Timing Patterns (Neta Spiro, Nicolas Gold and John Rink)Playing with Variables: Anticipating One Particular Performance of Bach's Goldberg Variations (Bernard Lanskey and Stephen Emmerson)The Informatics Philharmonic in the Indiana University Summer String Academy (Christopher Raphael)Educating the Mathemusical:Mathematical Thought and Empirical Approaches in Higher Education in Music (Jian Yang)Action and Symbol: An Essential Tension (Jeanne Bamberger)Educating the Mathemusical: Balancing the Equation (Don McLean)Geometries:Graph-theoretic and Geometric Models of Music (Richard Cohn)In Quest of Musical Vectors (Dmitri Tymoczko)A Topological Approach of Musical Relationships (Jean-Louis Giavitto and Antoine Spicher)List of Contributors Readership: Advanced secondary school students; post-secondary school students; and scientists, mathematicians, musicians and members of the public interested in the mathematical music sciences.

Mathematics and Computation in Music

Mathematics and Computation in Music PDF Author: Tom Collins
Publisher: Springer
ISBN: 3319206036
Category : Computers
Languages : en
Pages : 392

View

Book Description
This book constitutes the thoroughly refereed proceedings of the 5th International Conference on Mathematics and Computation in Music, MCM 2015, held in London, UK, in June 2015. The 24 full papers and 14 short papers presented were carefully reviewed and selected from 64 submissions. The papers feature research that combines mathematics or computation with music theory, music analysis, composition, and performance. They are organized in topical sections on notation and representation, music generation, patterns, performance, similarity and contrast, post-tonal music analysis, geometric approaches, deep learning, and scales.

Computational Science – ICCS 2020

Computational Science – ICCS 2020 PDF Author: Valeria V. Krzhizhanovskaya
Publisher: Springer Nature
ISBN: 3030504360
Category : Computers
Languages : en
Pages : 775

View

Book Description
The seven-volume set LNCS 12137, 12138, 12139, 12140, 12141, 12142, and 12143 constitutes the proceedings of the 20th International Conference on Computational Science, ICCS 2020, held in Amsterdam, The Netherlands, in June 2020.* The total of 101 papers and 248 workshop papers presented in this book set were carefully reviewed and selected from 719 submissions (230 submissions to the main track and 489 submissions to the workshops). The papers were organized in topical sections named: Part I: ICCS Main Track Part II: ICCS Main Track Part III: Advances in High-Performance Computational Earth Sciences: Applications and Frameworks; Agent-Based Simulations, Adaptive Algorithms and Solvers; Applications of Computational Methods in Artificial Intelligence and Machine Learning; Biomedical and Bioinformatics Challenges for Computer Science Part IV: Classifier Learning from Difficult Data; Complex Social Systems through the Lens of Computational Science; Computational Health; Computational Methods for Emerging Problems in (Dis-)Information Analysis Part V: Computational Optimization, Modelling and Simulation; Computational Science in IoT and Smart Systems; Computer Graphics, Image Processing and Artificial Intelligence Part VI: Data Driven Computational Sciences; Machine Learning and Data Assimilation for Dynamical Systems; Meshfree Methods in Computational Sciences; Multiscale Modelling and Simulation; Quantum Computing Workshop Part VII: Simulations of Flow and Transport: Modeling, Algorithms and Computation; Smart Systems: Bringing Together Computer Vision, Sensor Networks and Machine Learning; Software Engineering for Computational Science; Solving Problems with Uncertainties; Teaching Computational Science; UNcErtainty QUantIficatiOn for ComputationAl modeLs *The conference was canceled due to the COVID-19 pandemic. Chapter ‘APE: A Command-Line Tool and API for Automated Workflow Composition’ is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

Exploring Musical Spaces

Exploring Musical Spaces PDF Author: Julian Hook
Publisher: Oxford University Press
ISBN: 0190246014
Category :
Languages : en
Pages : 681

View

Book Description
Exploring Musical Spaces is a comprehensive synthesis of mathematical techniques in music theory, written with the aim of making these techniques accessible to music scholars without extensive prior training in mathematics. The book adopts a visual orientation, introducing from the outset a number of simple geometric models--the first examples of the musical spaces of the book's title--depicting relationships among musical entities of various kinds such as notes, chords, scales, or rhythmic values. These spaces take many forms and become a unifying thread in initiating readers into several areas of active recent scholarship, including transformation theory, neo-Riemannian theory, geometric music theory, diatonic theory, and scale theory. Concepts and techniques from mathematical set theory, graph theory, group theory, geometry, and topology are introduced as needed to address musical questions. Musical examples ranging from Bach to the late twentieth century keep the underlying musical motivations close at hand. The book includes hundreds of figures to aid in visualizing the structure of the spaces, as well as exercises offering readers hands-on practice with a diverse assortment of concepts and techniques.

The Oxford Handbook of Music Psychology

The Oxford Handbook of Music Psychology PDF Author: Susan Hallam
Publisher: Oxford University Press
ISBN: 0191034460
Category : Psychology
Languages : en
Pages : 960

View

Book Description
The second edition of The Oxford Handbook of Music Psychology updates the original landmark text and provides a comprehensive review of the latest developments in this fast-growing area of research. Covering both experimental and theoretical perspectives, each of the 11 sections is edited by an internationally recognised authority in the area. The first ten parts present chapters that focus on specific areas of music psychology: the origins and functions of music; music perception, responses to music; music and the brain; musical development; learning musical skills; musical performance; composition and improvisation; the role of music in everyday life; and music therapy. In each part authors critically review the literature, highlight current issues and explore possibilities for the future. The final part examines how, in recent years, the study of music psychology has broadened to include a range of other disciplines. It considers the way that research has developed in relation to technological advances, and points the direction for further development in the field. With contributions from internationally recognised experts across 55 chapters, it is an essential resource for students and researchers in psychology and musicology.

The Oxford Handbook of Critical Concepts in Music Theory

The Oxford Handbook of Critical Concepts in Music Theory PDF Author: Alexander Rehding
Publisher: Oxford University Press, USA
ISBN: 0190454741
Category : Music
Languages : en
Pages : 849

View

Book Description
Music Theory operates with a number of fundamental terms that are rarely explored in detail. This book offers in-depth reflections on key concepts from a range of philosophical and critical approaches that reflect the diversity of the contemporary music theory landscape.

The Routledge Companion to Music Cognition

The Routledge Companion to Music Cognition PDF Author: Richard Ashley
Publisher: Taylor & Francis
ISBN: 1351761943
Category : Music
Languages : en
Pages : 590

View

Book Description
This Companion addresses fundamental questions about the nature of music from a psychological perspective. Music cognition is presented as the field that investigates the psychological, physiological, and physical processes that allow music to take place, seeking to explain how and why music has such powerful and mysterious effects on us. This volume provides a comprehensive overview of research in music cognition, balancing accessibility with depth and sophistication. A diverse range of global scholars-music theorists, musicologists, pedagogues, neuroscientists, and psychologists-address the implications of music in everyday life while broadening the range of topics in music cognition research, deliberately seeking connections with the kinds of music and musical experiences that are meaningful to the population at large but are often overlooked in the study of music cognition. Consisting of over forty essays, the volume is organized by five primary themes. The first section, "Music from the Air to the Brain," provides a neuroscientific and theoretical basis for the book. The next three sections are based on musical actions: "Hearing and Listening to Music," "Making and Using Music," and "Developing Musicality." The closing section, "Musical Meanings," returns to fundamental questions related to music's meaning and significance, seen from historical and contemporary perspectives.

A New Companion to Digital Humanities

A New Companion to Digital Humanities PDF Author: Susan Schreibman
Publisher: John Wiley & Sons
ISBN: 1118680596
Category : Literary Criticism
Languages : en
Pages : 585

View

Book Description
This highly-anticipated volume has been extensively revised to reflect changes in technology, digital humanities methods and practices, and institutional culture surrounding the valuation and publication of digital scholarship. A fully revised edition of a celebrated reference work, offering the most comprehensive and up-to-date collection of research currently available in this rapidly evolving discipline Includes new articles addressing topical and provocative issues and ideas such as retro computing, desktop fabrication, gender dynamics, and globalization Brings together a global team of authors who are pioneers of innovative research in the digital humanities Accessibly structured into five sections exploring infrastructures, creation, analysis, dissemination, and the future of digital humanities Surveys the past, present, and future of the field, offering essential research for anyone interested in better understanding the theory, methods, and application of the digital humanities