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Set Difference

Set Difference in the Musical Context Set difference of U and A, denoted U \ A, is the set of all members of U that are not members of A. The set difference {1,2,3} \ {2,3,4} is {1}, while, conversely, the set difference {2,3,4} \ {1,2,3} is {4} . When A is a subset of[…]


Fractions in the Rhythmical Musical Context Understanding fractions is an important conception to have when consulting music. In music fractions are mainly found in rhythm by way of meters, note division, note subdivision, tempo, and harmonic rhythm. Fractions are what allow musicians to simplify rhythm and help to explain why certain rhythmic patterns sound the[…]

Amplitude in the Musical Context

Amplitude in the Musical Context At the very basic level, sounds of music are made up of primarily two different properties. Both properties are directly related to the vibration of soundwaves. These properties are Frequency and Amplitude. This article will focus on Amplitude. To learn more about Frequency click here. To understand Amplitude, one must[…]

Using Algebra to Find an Octave’s Pitch

Finding an Octave’s Pitch Algebraically The one consistent interval used in music across all cultures is known as the octave. In music, the octave is known as the interval between one pitch and another that is either half or double its frequency (Hz). For example, if we were to take the pitch of middle C[…]