| Description |
1 online resource |
| Series |
Quantitative Methods in the Humanities and Social Sciences |
|
Quantitative methods in the humanities and social sciences.
|
| Contents |
Intro -- Foreword -- Preface -- Acknowledgements -- Contents -- Abbreviations -- List of Figures -- List of Tables -- 1 Introduction -- 1.1 The Science of Musicology -- 1.2 Numerology and Bach -- 1.3 About This Book -- 2 An Information Theory Approach -- 2.1 Information and Communication -- 2.2 Measuring Information-The Bit -- 2.3 The Bit as Binary Digit -- 2.4 Signal, Noise, Redundancy and Encoding -- 2.5 Messages and Symbols -- 2.6 Throughput and Protocols -- 2.7 Gematria as Hash Coding -- 2.8 An Unambiguous Coding -- 2.9 Codings and References -- 3 Some Possible Codings in Music |
|
3.1 Preamble -- 3.2 Number of Bars -- 3.3 Notes -- 3.4 Intervals -- 3.5 Note Lengths -- 3.6 Number of Notes -- 3.7 Number of Pieces, Movements or Sections -- 3.8 Sum of the G-Values of Notes -- 3.9 Key Signature -- 3.10 Accidentals -- 3.11 Occurrences of Words -- 3.12 Rests -- 3.13 Time Signature -- 3.14 Figured Bass -- 3.15 Entries of a Theme -- 3.16 Other Possibilities -- 3.16.1 Acrostics -- 3.16.2 More Subtle Ways -- 3.17 Beyond Bach -- 3.17.1 BWV Numbers -- 3.17.2 Frequencies -- 3.17.3 Morse Code -- 3.17.4 Colours and Shapes -- 3.17.5 Other Puzzles -- 3.18 Combined Codings |
|
3.19 A Cryptographic Example -- 3.20 Summary -- 3.21 The Real Coding -- 3.22 Notes for Researchers -- 4 Ambiguity in Decoding -- 4.1 Preamble -- 4.2 Sources -- 4.3 Modern Dictionary -- 4.3.1 Method -- 4.3.2 Modern Dictionary with Latin Natural Coding -- 4.3.3 Modern Dictionary with Latin Milesian and Trigonal Coding -- 4.4 Historic Sources -- 4.4.1 Luther Bible -- 4.4.2 Cantata Texts -- 4.4.3 Combining Historic Sources -- 4.5 Summary -- 4.6 Notes for Researchers -- 5 Multiple Words and Partitioning -- 5.1 Partitioning and Permutations -- 5.2 Partitioning G-Values -- 5.3 Composers' Names |
|
5.4 Notes for Researchers -- 6 Score Analysis -- 6.1 The Method -- 6.2 Counting Bars -- 6.3 Statistics -- 6.4 Further Applications -- 6.5 Summary -- 6.6 Other Representations and Tools -- 6.7 Notes for Researchers -- 7 Statistical Methods -- 7.1 Preamble -- 7.2 Probability and Distributions -- 7.3 Hypothesis Testing and Significance -- 7.4 Confidence Interval -- 7.5 Monte Carlo Simulation -- 7.6 Bayes Theorem -- 7.7 Notes for Researchers -- 8 Exploring Proportions -- 8.1 Preamble -- 8.2 Simple Proportions and Terminology -- 8.2.1 Sets and Pieces -- 8.2.2 Proportion -- 8.2.3 Combinations |
|
8.2.4 Solutions, Targets, Opposites and Complements -- 8.2.5 Symmetries, Signatures and Patterns -- 8.2.6 Binary Signatures -- 8.3 Layers of Proportion -- 8.4 Summary of Terms -- 8.5 The Proportional Parallelism Explorer Program -- 8.5.1 Solution Search -- 8.5.2 Solutions Search Through Layers -- 8.5.3 Pattern Matching -- 8.5.4 Pattern Matching in Layers -- 8.5.5 Colour Coding for Visual Pattern Recognition -- 8.5.6 Monte Carlo Simulation -- 9 Applying the Methods to the Well Tempered Clavier Book 1 BWV 846-869 -- 9.1 Preamble -- 9.2 Solutions -- 9.3 Probability -- 9.4 Monte Carlo Simulation |
| 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, presented in 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 Bachs Numbers: Compositional Proportion and Significance and Bach and the Riddle of the Number Alphabet |
| Bibliography |
Includes bibliographical references and indexes |
| Subject |
Bach, Johann Sebastian, 1685-1750.
|
| SUBJECT |
Bach, Johann Sebastian, 1685-1750 fast |
| Subject |
Information theory in music.
|
|
Sistemas de visualización de la información
|
|
Information theory in music
|
| Form |
Electronic book
|
| ISBN |
9783030637699 |
|
3030637697 |
|
