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Conclusion on music and math
Relationship between music and math
Mathematics and music
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For most people, mathematics is an unsolvable puzzle characterized by the impression of numbers and calculations taught in school. It is often associated with feelings of rejection and disinterest. To the general population mathematics appears to be to be strictly rational, abstract, cold and soulless. Music, however, is involved with emotion, with feelings, and with life. It exists in all daily routines. Everyone has sung a song, pressed a key on a piano, or blown into a flute, and therefore, in some sense, made music. People can easily interact with it. Music is a way of expression and a part of everyone’s existence.
The incentive for investigating the connections between these two apparent opposites therefore is in the least obvious, and it is unclear in what aspects of both topics such a relationship could be sought after. Furthermore, if one accepts some mathematical aspects in music such as rhythm and pitch, it is far more difficult to imagine any musicality in mathematics. The count-ability and the strong order of mathematics do not seem to coincide with an artistic pattern.
However, there are diverse areas, which indicate this sort of connection. Firstly, research has proved that children playing the piano often show improved reasoning skills like those applied in solving jigsaw puzzles, playing chess or conducting mathematical deductions. Secondly, it has been noticed in a particular investigation that the percentage of undergraduate students having taken a music course was about eleven percent above average amongst mathematics majors. This affinity of mathematicians for music is not only a recent phenomenon, but has been mentioned previously by Bloch in 1925.
This essay examines the relationship between mathemati...
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...ld be one way to introduce an additional idea: that beauty is inherent in mathematics.
Work Cited
Assayag, Gerard, Hans G. Feichtinger, and Jose-Francisco Rodrigues. Mathematics and Music: a Diderot Mathematical Forum. Berlin: Springer, 2002.
Garland, Trudi Hammel., and Charity Vaughan. Kahn. Math and Music: Harmonious Connections. Palo Alto, CA: Dale Seymour Publications, 1995.
Glydon, Natasha. "Music, Math, and Patterns - Math Central." Math Central. Sept. 1995. 24 Mar. 2011 .
Joneston, Nigel. "The Link Between Music and Math | Music Articles." Music Information & Resources | Music Lyrics | Music Lessons. 24 Mar. 2011 .
Leibovich, Mark. "For Geeks, It's Music to Their Ears." Washington Post 15 Dec. 1997.
Suggested by the very remarkable interest taken in the music in the works of the ancient Greek philosophers, our attempt¡Xa semiotic attempt¡Xwould succeed in getting us closer to the meaning of what is called "the ethos of music" in the civilization of ancient Greeks.
Siddons, James. "On the Nature of Melody in Varèse's Density 21.5." Perspectives of New Music
With a focus on music production, I must protect, justify, and enlighten myself on all things music, as well as others, and edify all within reasonable distance on the correlation of fractions and music, and just how a fraction, also known as a time signature when written on a music staff, has been responsible for the swing and groove of music, and the creation of an evolution of soulful dance music.
Newman, Ernest “Bach, Johann Sebastian.” The International Cyclopedia of Music and Musicians, 1985, 11th Edition, pp. 102-108
Kamien, Roger. "Part VI: The Romantic Period." Music: An Appreciation. 10th ed. Boston: McGraw-Hill Higher Education, 2008. 257-350. Print.
Arnold, Denis, ed. The New Oxford Companion to Music. Vol. 2. Oxford: Oxford UP, 1983.
I also learned that mathematics was more than merely an intellectual activity: it was a necessary tool for getting a grip on all sorts of problems in science and engineering. Without mathematics there is no progress. However, mathematics could also show its nasty face during periods in which problems that seemed so simple at first sight refused to be solved for a long time. Every math student will recognize these periods of frustration and helplessness.
Nevertheless, These proportions had a strong relation to others disciplines as art and architecture, but there was also a strong, evident relation with the planets’ movements as stated by Pythagoras and later developed by other philosophers, mathematicians, and musicians like Plato and, as we have mentioned through the whole essay, Kepler. Therefore, this relation explained before between the ratios of the musical scales and mathematical ratios that can be found in every single aspect of the universe, as Pythagoras said, for example the ones of the movement of the planets, was a valuable inspiration for many composers of the time. Though the musical language as we know it nowadays seems to be very mathematical, that fact that a composition can be build according to specific ratios is quite complex and difficult to achieve; nonetheless, composers as Johannes Ockeghem managed to base their compositions in this.
However, one must remember that art is by no means the same as mathematics. “It employs virtually none of the resources implicit in the term pure mathematics.” Many people object that art has nothing to do with mathematics; that mathematics is unemotional and injurious to art, which is purely a matter of feeling. In The Introduction to the Visual Mind: Art and Mathematics, Max Bill refutes this argument by stati...
Arnold, Denis, ed. The New Oxford Companion to Music. Vol. 2. Oxford: Oxford UP, 1983.
...re encompassing way, it becomes very clear that everything that we do or encounter in life can be in some way associated with math. Whether it be writing a paper, debating a controversial topic, playing Temple Run, buying Christmas presents, checking final grades on PeopleSoft, packing to go home, or cutting paper snowflakes to decorate the house, many of our daily activities encompass math. What has surprised me the most is that I do not feel that I have been seeking out these relationships between math and other areas of my life, rather the connections just seem more visible to me now that I have a greater appreciation and understanding for the subject. Math is necessary. Math is powerful. Math is important. Math is influential. Math is surprising. Math is found in unexpected places. Math is found in my worldview. Math is everywhere. Math is Beautiful.
Skemp, R. R. (1976). Relational understanding and instrumental understanding. Mathematics Teaching, 77, 20-26. Retreived from: http://math.coe.uga.edu/olive/EMAT3500f08/instrumental-relational.pdf
To most people English or Language Arts is a creative course and math is just a logical, you get it or you don’t class. My purpose writing this paper is to change your mind. I believe that Math is just as, or more creative than English. I will demonstrate this through a couple of examples.
The history of math has become an important study, from ancient to modern times it has been fundamental to advances in science, engineering, and philosophy. Mathematics started with counting. In Babylonia mathematics developed from 2000B.C. A place value notation system had evolved over a lengthy time with a number base of 60. Number problems were studied from at least 1700B.C. Systems of linear equations were studied in the context of solving number problems.
The abstractions can be anything from strings of numbers to geometric figures to sets of equations. In deriving, for instance, an expression for the change in the surface area of any regular solid as its volume approaches zero, mathematicians have no interest in any correspondence between geometric solids and physical objects in the real world. A central line of investigation in theoretical mathematics is identifying in each field of study a small set of basic ideas and rules from which all other interesting ideas and rules in that field can be logically deduced. Mathematicians are particularly pleased when previously unrelated parts of mathematics are found to be derivable from one another, or from some more general theory. Part of the sense of beauty that many people have perceived in mathematics lies not in finding the greatest richness or complexity but on the contrary, in finding the greatest economy and simplicity of representation and proof.