Let's calculate Bach : applying information theory and statistics to numbers in music / / Alan Shepherd

• Autore: Shepherd Alan
• Pubblicazione: Cham, Switzerland : , : Springer, , [2021]; ©2021
• Descrizione fisica: 1 online resource (372 pages)
• Disciplina: 780.924
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: 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 -- 9.5 Hypothesis Testing and Significance -- 9.6 Bayes Theorem -- 9.7 Patterns -- 9.8 Preludes and Fugues Separately -- 9.9 Ariadne Musica -- 10 Consolidated Observations -- 10.1 Preamble -- 10.2 The Effect of the Number of Pieces -- 10.3 Works Which Could Have More Than One Layer -- 10.4 Probability -- 10.5 Types of Distribution -- 10.6 Real Works Versus Single-Layer Simulations -- 10.7 Accuracy -- 10.8 Proportions and Other Structures -- 10.9 Proportions in Durations -- 10.10 Works with No Proportions -- 10.11 The Impossible Proportions -- 10.12 Reverse Engineering and the Art of Fugue BWV 1080 -- 10.13 Combining Works -- 10.14 Summary of Main Statistics -- 10.15 Notes for Researchers -- 11 Magic Squares -- 11.1 The Dieben Rectangle. ; 11.1.1 Deriving Proportions from Dieben's Rectangle -- 11.2 Use by Modern Composers -- 12 Psychological Fallacies -- 12.1 Preamble -- 12.2 Story Bias or Narrative Fallacy -- 12.3 Confirmation Bias -- 12.4 Neglect of Probability -- 12.5 Halo Effect -- 12.6 Conjunction Fallacy -- 12.7 Notes for Researchers -- 13 Bach, Science and Technology -- 13.1 Mathematics and Philosophy in Bach's Time -- 13.2 Models -- 13.3 Computers -- 13.4 Artificial Intelligence -- 13.5 Quantz and Hi-Fi -- 13.6 Summary -- 14 Conclusion -- Appendix A More Parallel Proportion Results -- A.1 Preamble -- A.2 Mass in B Minor BWV 232 -- A.3 Brandenburg Concertos BWV 1046-1051 -- A.4 Canonic Variations on "vom Himmel Hoch" BWV 769 -- A.5 Cello Suites BWV 1007-1012 -- A.6 Clavierübung I-Partitas BWV 825-830 -- A.7 Clavierübung II-Italian Concerto BWV 831 and French Overture BWV 971 -- A.8 Clavierübung III-Organ Mass BWV 669-689, 552, 802-805 -- A.9 English Suites BWV 806-811 -- A.10 French Suites BWV 812-817 -- A.11 Goldberg Variations BWV 988 -- A.12 Great Fifteen Organ Preludes BWV 651-665 -- A.13 Inventions and Sinfonias BWV 772-801 -- A.14 Musical Offering BWV 1079 -- A.15 Schübler Chorales BWV 645-650 -- A.16 Sei Soli for Violin BWV 1001-1006 -- A.17 Transcribed Concertos BWV 972-980, 592, 981-982 -- A.18 Trio Sonatas for Organ BWV 525-530 -- A.19 Violin Sonatas BWV 1014-1019 -- A.20 Well Tempered Clavier Book 1-See Chap. 9 -- Appendix B Proportional Parallelism Explorer Program User Manual -- B.1 Installing the Program -- B.1.1 Download -- B.1.2 Prerequisite -- B.1.3 Caveats -- B.1.4 Installing the Program -- B.1.5 Removing the Program -- B.2 Running the Program -- B.2.1 From the Downloaded File -- B.2.2 Running the Program from the Command Prompt -- B.2.3 Running Multiple Instances -- B.2.4 Starter Script -- B.2.5 CSV Separator -- B.2.6 Mixed Languages -- B.2.7 Error Messages. ; B.3 File Processing -- B.3.1 File Processing Data Flow -- B.3.2 Input File-General -- B.3.3 Input File-Pieces -- B.3.4 Input File-Patterns: Overview -- B.3.5 Input File-Patterns: BinaryTemplate -- B.3.6 Input File-Patterns: Count -- B.3.7 Input File-Patterns: Built in Functions -- B.3.8 Solutions Output File -- B.3.9 Patterns Output File -- B.3.10 File Processing Summary -- B.4 Monte Carlo Simulation -- B.4.1 Monte Carlo Processing Data Flow -- B.4.2 Results Output File -- B.4.3 Monte Carlo Summary -- B.4.4 Lengths Histogram Output File -- B.4.5 Results Histogram Output File -- B.5 Further Processing with Other Programs -- B.5.1 Import to Excel -- B.5.2 Formatting Histograms with Excel -- B.5.3 Text Processors -- B.6 Main Window -- B.7 Program Menu -- B.8 Preferences -- B.5.4 General Tab -- B.5.5 Monte Carlo Tab -- B.5.6 Output Tab -- B.9 Close -- B.10 File Menu -- B.11 Open File -- B.12 Start from File -- B.13 Pause File -- B.14 Resume File -- B.15 Cancel File -- B.16 Monte Carlo Menu -- B.17 Start Monte Carlo -- B.18 Pause Monte Carlo -- B.19 Resume Monte Carlo -- B.20 Cancel Monte Carlo -- B.21 Help Menu -- B.22 Use Cases -- B.23 Try Various Proportions -- B.24 Try Various Inputs -- B.25 Performance -- B.26 Large Files -- Appendix C Tabular History -- Appendix D Alphabet Tables -- D.1 Numeric Alphabets -- D.2 G-Values for Notes with Sharps and Flats -- Appendix E Interval Proportions -- Appendix F Excel Functions -- F.1 Factors of a Number -- F.2 G-Value -- Literature -- General Index -- Index of Names.
• Titolo autorizzato: Let's Calculate Bach
• ISBN: 3-030-63769-7
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910491027003321
• Lo trovi qui: Univ. Federico II
• Serie: Quantitative methods in the humanities and social sciences.