essay on topic music and mathematics
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Answer:
Pythagoras was quoted as saying, “there is geometry in the humming of the strings, there is music in the spacing of the spheres.” As poetic as this sounds, the famous Greek mathematician was actually making a direct statement about the connection between mathematics and music. In modern times, math is a subject generally associated with left brained individuals and music is a subject generally associated with right brained individuals. What most don’t realize is that the subjects go hand in hand, and have been intertwined as early as the times of Greek antiquity; “great minds took such pains to include music in their worldview and indeed saw music as the organizing principle of the universe” [rogers]. Viewing music and science as profoundly linked was the dominant and accepted way of thinking in Western and non-Western philosophers of the past.Mathematics and music are both subjects that require an abstract way of thinking and contemplation. Both subjects require recognizing and establishing patterns. It is important to note that although the subjects on a whole are more similar than usually given credit for in this day and age, they are also interdisciplinary. Math has historically been used to describe and teach music, and vice versa. Mathematics can be found etched in common musical concepts such as scales, intervals, wave frequencies, and tones. J. Ph. Rameau, a French musicologist of the eighteenth century, said it best in his Traitd de l’harmonie rdduite d ses principes naturels (1722): “Music is a science which must have determined rules. These rules must be drawn from a principle which should be evident, and this principle cannot be known without the help of mathematics. I must confess that in spite of all the experience which I have acquired in music by practising it for a fairly long period, it is nevertheless only with the help of mathematics that my ideas became disentangled and that light has succeeded to a certain darkness of which I was not aware before.” [Papadopoulos]
Mathematics and music are both subjects that require an abstract way of thinking and contemplation. Both subjects require recognizing and establishing patterns. It is important to note that although the subjects on a whole are more similar than usually given credit for in this day and age, they are also interdisciplinary. Math has historically been used to describe and teach music, and vice versa. Mathematics can be found etched in common musical concepts such as scales, intervals, wave frequencies, and tones. J. Ph. Rameau, a French musicologist of the eighteenth century, said it best in his Traitd de l’harmonie rdduite d ses principes naturels (1722): “Music is a science which must have determined rules. These rules must be drawn from a principle which should be evident, and this principle cannot be known without the help of mathematics. I must confess that in spite of all the experience which I have acquired in music by practising it for a fairly long period, it is nevertheless only with the help of mathematics that my ideas became disentangled and that light has succeeded to a certain darkness of which I was not aware before.” [Papadopoulos]In Greek antiquity, it was common knowledge that the schools of Aristotle, Plato, and Pythagoras deemed music a part of mathematics. A Greek mathematical treatise would typically be comprised of four topics: Number Theory, Geometry, Music, and Astronomy. Mathematics and music were strongly linked until the Renaissance, when the two
Answer:
Mathematics refers to numbers and calculations, often dealing with magnitudes, figures and quantities expressed symbolically. On the other hand, music is an art of sound through the use of harmonies, rhythm and melodies. Although these two subjects are in contrast to each other, as mathematics is often unpopular to most people for its difficulty and music is easily likeable for its pleasantness, experts have uncovered a strong connection between the two topics.
The connection between mathematics and music is held through the concepts of numbers, patterns, and ratios. Through these mathematical concepts, many music theories were developed. Great mathematicians like Pythagoras, also a renowned music lover, applied…
Math and music can both aid each othepleasant to the ear. For example a 100Hz tone sounds pleasant when combined with a 200Hz, 300Hz, 400Hz and 500Hz frequency. The most important ratio of frequency became 1:2, where we developed the idea of octaves. Even here, we can easily see how we can apply the concepts of ratio and use them to combine harmonic tones that go well when played with each other. It was based on the Greeks’ studies that later on, famous musicians made use of not only tones of the same base frequencies, but also tones of r through different means. Math was first applied to music by harmony, tones and tunings constructed by the Ancient Greeks.
r through different means. Math was first applied to music by harmony, tones and tunings constructed by the Ancient Greeks. In the Greek era, music was regarded as a mathematical discipline. In other words, music was the science of sound. The Greeks were also the one who discovered that notes of the same base frequency sound most ..
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