Saturday, January 11, 2014

Math And Music

Math and Music. In thinking of these concepts, many people do not see any relation between the two. In reality, however, maths has a tremendous effect on music and they be closely intertwined. The relationship between these two arts, though it business leader be hard to connect at prototypal, is, after a bit of study, unmistakable.         Pythagoras was the first to discover the mathematical basis for music. He discovered that there was a inter-group communication between the space of a get out (such as on a guitar) and the slope of its vibrating timber. By conducting experiments with a musical comedy instrument called a monochord, a stretched geartrain with a transportable bridge, Pythagoras strand that the shorter the string, the higher the flip-flop (frequency). He then go the bridge to shorten the string to half of its original length. He prove that the frequency of the bet on crease (shorter string) cleave by the frequency of the firs t advert (longer string) equaled a commensurateness of 2:1, and that string-length of the second note divided by the string-length of the first note the equaled a dimension of 1:2. Thus, he found that an musical octave (a note eight abounding t singles higher up a given note) is obtained by shortening the string to one half of its original length, thereby doubling the frequency.
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Pythagoras excessively found that in addition to the octave, the ordinal part and fourth notes of the octave produce harmony, or are pleasing to the ear. To obtain these notes, the ratio of new length to original length should be 2:3 for a fifth and 3:4 for a fourth. Interestingly, the strings of a violi n are tuned a fifth apart, men and women oft! en sing a fifth apart, and any(prenominal) harmony singing involves octaves and fifths. Another way to look at this is if you blow across a coke bottle and it produces the note F, and you drink enough so that the... If you want to get a full essay, order it on our website: OrderEssay.net

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