Topic > Music and Mathematics - 876

Music and mathematics are incredible art forms that have been a part of everyday life for centuries and continue to do so. It seems that most people do not consider mathematics to fall under the category of art because generally the stereotypical thoughts of mathematics consist of numbers and equations. However, art is defined as the expression or application of human creative ability and imagination. Mathematics is a skill that humans have developed over time and is an important factor integrated into music. Although not literally seen or heard, aspects of mathematics are present not only in physical sound but also in music theory. The human ear has a tendency to favor consonant music. Consonance is a term used to define musical intervals, melodies or harmonies that sound pleasant and is both a physical and psychological attraction. According to ancient Greek history, these "consonant sounds" refer to simple numerical ratios discovered in an experiment conducted by Pythagoras (Fauvel, p 15). In his experiment, he is said to have listened to a blacksmith strike four hammers weighing twelve, nine, eight and six pounds. He listened to the twelve-pound hammer as it simultaneously cycled through the other weights. From this observation he was able to derive the intervals: 12:6 = 2:1 12:8 = 3:2 12:9 = 4:3 The sound is produced by vibrations in the air which, in this experiment, came from the hammer. Vibrations are a set of frequencies measured in units of Hertz (Hz). The faster the vibration frequency, the higher the pitch of the sound. The 2:1 Pythagorean ratio simply means that both tones are the same, however the frequency of the second tone is doubled. For example, the blacksmith's stroke... in the center of the card... how the melody is arranged. In bars one and three there are four quarter notes. Since a quarter note has a beat, beats one and three correspond to the time signature (1 + 1 + 1 + 1 = 4). In measures two and four there are two quarter notes and a half note. Knowing that a half note equals two beats, bars two and four also correspond to the time signature (1 + 1 + 2 = 4). This shows how many concepts of mathematics, including its most basic forms, are contained in music. After examining the history of the development of music, it seems that without mathematics, music would not exist. The relationship between the two could also aid in the beautification of educational opportunities. Students may be more intrigued by mathematics when compared to music or vice versa. With this strong combination, it is important to consider that mathematics is as much an art as music.