Harmony Explained: Progress Towards A Scientific Theory of Music
by Daniel Shawcross Wilkerson
Publisher: arXiv 2012
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.
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by Ernest Hutcheson - G.F. Kranz Music Co.
Many of the exercises contained in this little work are purely preparatory in nature, others are for occasional or special use. Only about twenty are permanently essential. All are necessary at some stages of study or to some pupils.
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