Let’s Calculate Bach : Applying Information Theory and Statistics to Numbers in Music / by Alan Shepherd.

Format:

Book

Author/Creator:

Shepherd, Alan, author.

Series:

Quantitative Methods in the Humanities and Social Sciences, 2199-0964

Language:

English

Subjects (All):

Social sciences--Statistical methods.

Social sciences.

Digital humanities.

Music--Mathematics.

Music.

Coding theory.

Information theory.

Discrete mathematics.

Mathematical statistics--Data processing.

Mathematical statistics.

Statistics in Social Sciences, Humanities, Law, Education, Behavorial Sciences, Public Policy.

Digital Humanities.

Mathematics in Music.

Coding and Information Theory.

Discrete Mathematics.

Statistics and Computing.

Local Subjects:

Statistics in Social Sciences, Humanities, Law, Education, Behavorial Sciences, Public Policy.

Digital Humanities.

Mathematics in Music.

Coding and Information Theory.

Discrete Mathematics.

Statistics and Computing.

Physical Description:

1 online resource (372 pages)

Edition:

1st ed. 2021.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2021.

Summary:

This book shows how information theory, probability, statistics, mathematics and personal computers can be applied to the exploration of numbers and proportions in music. It brings the methods of scientific and quantitative thinking to questions like: What are the ways of encoding a message in music and how can we be sure of the correct decoding? How do claims of names hidden in the notes of a score stand up to scientific analysis? How many ways are there of obtaining proportions and are they due to chance? After thoroughly exploring the ways of encoding information in music, the ambiguities of numerical alphabets and the words to be found “hidden” in a score, the book presents a novel way of exploring the proportions in a composition with a purpose-built computer program and gives example results from the application of the techniques. These include information theory, combinatorics, probability, hypothesis testing, Monte Carlo simulation and Bayesian networks, presentedin an easily understandable form including their development from ancient history through the life and times of J. S. Bach, making connections between science, philosophy, art, architecture, particle physics, calculating machines and artificial intelligence. For the practitioner the book points out the pitfalls of various psychological fallacies and biases and includes succinct points of guidance for anyone involved in this type of research. This book will be useful to anyone who intends to use a scientific approach to the humanities, particularly music, and will appeal to anyone who is interested in the intersection between the arts and science. With a foreword by Ruth Tatlow (Uppsala University), award winning author of Bach’s Numbers: Compositional Proportion and Significance and Bach and the Riddle of the Number Alphabet. “With this study Alan Shepherd opens a much-needed examination of the wide range of mathematical claims that have been made about J. S. Bach's music, offering both tools and methodological cautions with the potential to help clarify old problems.” Daniel R. Melamed, Professor of Music in Musicology, Indiana University .

Contents:

Foreword

Preface

Introduction

An Information Theory Approach

Some Possible Codings in Music

Ambiguity in Decoding

Multiple Words and Partitioning

Score Analysis

Statistical Methods

Exploring Proportions

Applying the Methods to the Well Tempered Clavier Book 1 BWV 846 - 869

Consolidated Observations

Magic Squares

Psychological Fallacies

Bach, Science Technology

Conclusion

Appendices

Index.

Notes:

Includes bibliographical references and index.

Print version record.

ISBN:

3-030-63769-7

OCLC:

1260344026