We all understand the common language of
Music, but - like Nature’s own tongue - it is a
language encoded in numbers
This collection of Articles, Essays & Examples on CD in PDF format
attempts to crack that code and uncover Music’s fundamental
and deepest level of meaning
Outlining the latest findings of a research project investigating the
fundamental structure of tonal music, it presents ...
Table of Contents
Introduction
Chapter 1 - The Heart of the Matter - Harmony and Mutable Numbers
Chapter 2 - A Piano Tuner’s Tale - Scales and Proportions
Chapter 3 - Numbers in the Material World - Information, Computation and Entropy
Chapter 4 - Three Domains of Music - Nested Oscillation
Chapter 5 - Little Worlds - AWK and Cellular Automata
Chapter 6 - The Full Cadence - The Algorithm of Symmetrical Exchange
Chapter 7 - Nested Harmonic Series - The Format of Computation
Chapter 8 - The Tonal Era - A Short History of Music and Music Theory
Chapter 9 - Modulation - Modulating Oscillatory Systems (Overview) Chapter 10 - Prelude No.1, Well-tempered Clavier - J.S.Bach - MOS/MBN Examples
Chapter 11 - The Minor Mode - Dualism
Chapter 12 - Chord Types - Numbers in Music
Chapter 13 - Points in Space & Time - Geometry, Mutable Numbers & Tonal Harmony
Chapter 14 - Reflection - Harmonic Inversion
Chapter 15 - Wider Horizons - Elements of Music? - from Particles to Planets
Chapter 16 - Appendix A - Music Theory Toolkit
Chapter 17 - Appendix B - Glossary 08 pages
Chapter 18 - Appendix C - Mathematical Miscellany
Chapter 19 - Appendix D - Examples Directory - AWK Scripts, Cellular Automata, etc
Index
Examples of Reflection
Example A - Air from ‘Giulio Cesare’ - G.F.Handel - Score, Parts and MIDI file
Example B - Gavotte - Jean-Philippe Rameau - Score, Part and MIDI file
Example C - Gavotte - H. Thornowitz - Score, Part and MIDI file
Example D - Fugue VII, Book II - J.S.Bach - Score and MIDI file
Example E - La Follia - A. Corelli - Score, Parts and MIDI file
Example F - Ricecar dopo il Credo - G. Frescobaldi - Score and MIDI file
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