Music and Mathematic Free Book|教育線上App不用買-HotApp4Game

In ancient Greece, music had a wider meaning for it embraced the idea of ratios or integers as the key to understanding both the physical visible universe and the spiritual invisible universe. There is an intimate relationship between music and mathematics. Pythagoras of Samos, a famous philosopher in the 5th Century B.C. was the first person to make the connection between math and music. Pythagoras introduced the ideas that all intervals of a scale form a series of pure 5ths with a frequency ratio of 3:2. Since the time of Pythagoras, it is known that tonal harmony is closely related to the numerical relation of the frequencies.

Music in many aspects is a form of mathematics. In "Emblems of the Mind: The Inner Life of Music and Mathematics", Edward Rothestein refers to musical and mathematical notations as secret symbols undecipherable by the uninitiated. It does take time and patience to decipher some of these mathematical formulas. But once the pianist knows how to apply these formulas to the playing, the mathematical formulas will simplify the thinking process greatly. The better you get at it, the easier it becomes to figuring out advanced harmony that requires color variations with tone extensions of 9, 11, 13.

The insight you need to gain is that the basic element underlying music is mathematics. In this manual, you will learn that even the most basic theories of music can be expressed in mathematical terms. Scales have numeric patterns. All music scales are subsets of the chromatic scales. Chords are formed with combination of numeric intervals. Harmony follows the simplest mathematical principles. Chord progressions follow a mathematical pattern codified in the Circle of 5ths.