Harmony A Psychoacoustical Approach

My first encounter with the theory of harmony was during my last year at school (1975). This fascinating system of rules crystallized the intuitive knowledge of harmony I had acquired from years of piano playing, and facilitated memorization, transcription, arrangement and composition. For the next five years, I studied music (piano) and science (Physics) at the Univer sity of Melbourne. This "strange combination" started me wondering about the origins of those music theory "rules". To what extent were they determined or influenced by physics? mathematics? physiology? conditioning? In 1981, the supervisor of my honours project in musical acoustics, Neville Fletcher, showed me an article entitled "Pitch, consonance, and harmony", by a certain Ernst Terhardt of the Technical University of Munich. By that stage, I had devoured a considerable amount of (largely unsatisfactory) material on the nature and origins of harmony, which enabled me to recognize the significance of Terhardt's article. But it was not until I arrived in Munich the following year (on Terhardt's invitation) that I began to appreciate the conse quences of his "psychoacoustical" approach for the theory of harmony. That is what this book is about. The book presents Terhardt's work against the broad context of music perception research, past and present. Music perception is a multidisciplinary mixture of physics, psychology and music. Where different theoretical ap proaches appear contradictory, I try to show instead that they complement and enrich one another.

Tone of Voice and Mind is a synthesis of findings from neurophysiology (how neurons produce subjective feeling), neuropsychology (how the human cerebral hemispheres undertake complementary information-processing), intonation studies (how the emotions are encoded in the tone of voice), and music perception (how human beings hear and feel harmony). The focus is on the psychological characteristics that distinguish us from other primate species. At a neuronal level, we are just another mammalian species, but the functional specialization of the human cerebral hemispheres has resulted in three outstanding, uniquely-human talents: language, tool-usage and music. To understand how the human brain coordinates those behaviors is to understand who we are. (Series B)

Psychoacoustics offers a unique, comprehensive summary of information describing the processing of sound by the human hearing system. The third edition includes an additional chapter on audio-visual interactions and applications, plus more on applications throughout.

Psychoacoustics - Facts and Models represents a comprehensive collection of data describing the processing of sound by the human hearing system. It includes quantitative relations between sound stimuli and auditory perception in terms of hearing sensations. In addition, quantitative psychoacoustic models of hearing sensations are given. The monograph contains a unique collection of data on the human hearing system as a receiver of acoustic information as well as many examples of the practical application of the results of basic research in fields such as audiology, noise evaluation, and sound engineering. Many helpful hints for the solution of practical problems will be of particular benefit to engineers, and the book as a whole should serve as an important benchmark in the field of psychoacoustics. The treatment given in this second edition has been thoroughly updated with recent results.

A fascinating interdisciplinary approach to how everyday Western music works, and why the tones, melodies, and chords combine as they do. Despite the cultural diversity of our globalized world, most Western music is still structured around major and minor scales and chords. Countless thinkers and scientists of the past have struggled to explain the nature and origin of musical structures. In Psychoacoustic Foundations of Major-Minor Tonality, music psychologist Richard Parncutt offers a fresh take, combining music theory—Rameau’s fundamental bass, Riemann’s harmonic function, Schenker’s hierarchic analysis, Forte’s pitch-class set theory—with psychology—Bregman’s auditory scene, Terhardt’s virtual pitch, Krumhansl’s tonal hierarchy. Drawing on statistical analyses of notated music corpora, Parncutt charts a middle path between cultural relativism and scientific positivism to bring music theory into meaningful discourse with empirical research. Our musical subjectivity, Parncutt explains, depends on our past musical experience and hence on music history and its social contexts. It also depends on physical sound properties, as investigated in psychoacoustics with auditory experiments and mathematical models. Parncutt’s evidence-based theory of major-minor tonality draws on his interdisciplinary background to present a theory that is comprehensive, creative, and critical. Examining concepts of interval, consonance, chord root, leading tone, harmonic progression, and modulation, he asks: Why are some scale tones and chord progressions more common than others? What aspects of major-minor tonality are based on human biology or general perceptual principles? What aspects are culturally arbitrary? And what about colonial history? Original and provocative, Psychoacoustic Foundations of Major-Minor Tonality promises to become a foundational text in both music theory and music cognition.

This book is the ninth volume of the Transactions on Rough Sets series. The 26 papers in it introduce new advances in the foundations and applications of artificial intelligence, engineering, image processing, logic, mathematics, medicine, music, and science.

Useful work has been done in recent years in the areas of music psychology, philosophy and education, yet this is the first book to provide a wide assessment of what practical benefits this research can bring to the music practitioner. With 25 chapters by writers representing a broad range of perspectives, this volume is able to highlight many of the potential links between music research and practice. The chapters are divided into five main sections. Section one examines practitioners use of research to assist their practice and the ways in which they might train to become systematic researchers. Section two explores research centred on perception and cognition, while section three looks at how practitioners have explored their everyday work and what this reveals about the creative process. Section four focuses on how being a musician affects an individuals sense of self and the how others perceive him or her. The essays in section five outline the new types of data that creative researchers can provide for analysis and interpretation. The concluding chapter discusses that key question - what makes music affect us in the way it does? The research findings in each chapter provide useful sources of data and raise questions that are applicable across the spectrum of music-related disciplines. Moreover, the research methodologies applied to a specific question may have broader application for readers wishing to take on research themselves.

This volume comprises a selection of papers presented at the first International C- ference on Mathematics and Computation in Music – mcm2007. The conference took place at the Staatliches Institut für Musikforschung PK – National Institute for Music Research in Berlin during May 18–20, 2007 and was jointly organized by the National Institute for Music Research Berlin and the Society of Mathematics and Computation in Music. The papers were selected for the conference by the program committee and classfied into talks and posters. All papers underwent further selection, revision and elaboration for this book publication. The articles cover a research field which is heterogeneous with respect to content, scientific language and methodology. On one hand, this reflects the heterogeneity and richness of the musical subject domain itself. On the other hand, it exemplifies a t- sion which has been explicitly intended by both the organizers and the founders of the society, namely to support the integration of mathematical and computational - proaches to music theory, composition, analysis and performance. The subdivision into three parts reflects the original structure of the program. These parts are opened by invited papers and followed by talks and posters.