Harmony Explained: Progress Towards A Scientific Theory of Music
The Major Scale, The Standard Chord Dictionary, and The Difference of Feeling Between The Major and Minor Triads Explained from the First Principles of Physics and Computation; The Theory of Helmholtz Shown To Be Incomplete and The Theory of Terhardt and Some Others Considered Daniel Shawcross Wilkerson Begun 23 September 2006; this version 19 February 2012. Abstract and Introduction Most music theory books are like medieval medical textbooks: they contain unjustified superstition, non-reasoning, and funny symbols glorified by Latin phrases. How does music, in particular harmony, actually work, presented as a real, scientific theory of music? In particular we derive from first principles of Physics and Computation the following three fundamental phenomena of music: the Major Scale, the Standard Chord Dictionary, and the difference in feeling between the Major and Minor Triads. Table of Contents People push different keys on a piano; some combinations and patterns sound good; others do not.
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