ABSTRACT

The book presents the fundamentals of music science, followed by a discussion on the historical evolution of music. An introduction to the analysis of signals in time and frequency is presented, which includes sound and noise. Features and mathematical aspects of the sound are discussed, including vibration and timbre.

The book presents a review of existing voice models and discusses the voice production, sound perception, music characteristics and acoustics, tempo, rhythm and harmony. Musical theory is presented, including staff, notes, alterations, keys and intervals, tones and associated frequencies and wavelengths.

The creation of major and minor scales is emphasized, along with a study on consonance and dissonance, measure, metric, tempo markings, dynamics, modulation. The book also explains the chord formation, and discusses melody and composition.

The book has four appendices, including an appendix on the basic differentiation and integration theorems, another with useful Fourier tables, and an appendix featuring the notes, their frequencies and wavelengths. The book also has a glossary of music terms.

chapter 1|19 pages

Elements and Philosophy of Music

chapter 2|8 pages

History and Evolution of Music

chapter 3|17 pages

Music and Mathematics

chapter 4|14 pages

Signal Analysis

chapter 5|11 pages

Fourier Transform Applications

chapter 6|17 pages

Properties of the Fourier Transform

chapter 7|11 pages

Musical Terminology

chapter 8|11 pages

Sound Theory

chapter 9|13 pages

Acoustics and Congnition

chapter 10|22 pages

Voice Models

chapter 11|7 pages

Scale Formation

chapter 12|7 pages

Consonance and Dissonance in Music

chapter 13|7 pages

Note, Time, and Frequency

chapter 14|4 pages

Theory of Chord Formation

chapter 15|7 pages

Study of Melody and Composition

chapter 16|18 pages

Musical Instruments

chapter 17|14 pages

Music Styles