The Relationship between Mathematics and Music

Humans possess a wide range of attributes and characteristics, of which one of the most funda- mental features is that of curiosity. This curiosity has led man to wonder, ponder and then learn. The curious nature of humans drives them to always try to find solutions to the puzzling mysteries behind their ideas and thereby ending up inventing and innovating, extending the boundaries of science and technology. Babylonians and Egyptians used arithmetic, algebra and geometry for taxation and other financial calculations, for building and construction, and for astronomy. To deal with the new dynamics that had arisen from the work of Sir Issac Newton and Galileo Galilei the creation and development of calculus was required. All of them made use of the fundamental tools and items at their disposal to achieve this, but would not have been successful without the one crucial tool - knowledge of mathematics. Mathematics is a language - the language of science and it comes as no surprise that mathematics is vitally important when explaining any phenomenon or scientific theory or proving scientific laws.

In “The Divine Proportion: A Study in Mathematical Beauty,” H.E. Huntley writes about how math is related to basically everything and provides a frame. Math is important to things like art, science, music, and many other things. Huntley was a professor who studied the divine proportion or also known as the “golden ratio.” It is used in math, art, and science.

Music is remarkable for its special nature, which it is heritability. Music itselfs does not only give all music notes but innovation and inspiration from

Mathematics and art have always been closely related: Golden ratio, symmetry, proportion and geometry are elements in the art; not surprisingly, many great artists of history have been great mathematicians; they have been supported in mathematics to express reality with an artistic language. By definition geometry comes from the Greek: Ge = earth and Metron = measure. That is, it is the branch of mathematics that studies the measurement of the Earth that is concerned with the properties and relations of points, lines, surfaces, solids, and higher dimensional analogs. (Geometry. (2015).

[5] Consequently, taking a major “C” scale into account, it has 8 white keys, 5 black keys (two groups of two and three) for a total of 13 keys, that is the first 7 numbers in the sequence of Fibonacci Numbers (if you count both the ones as single keys). These details alone can validate the theory that music can be composed mathematically. Music composers from Mozart to performers such as Tool and Pink clearly utilized Fibonacci Numbers to bless planet earth with emotionally charged melodies. Bottom line up front; although we may not clearly see it, math is organic to most everything we do. Therefore, music can serve as an instrument for mathematicians to learn, create, instruct and

Pythagoras, friend of Thales and famed mathematician, was a lover of music. He discovered that the tones in music are connected to ratios. By shortening or lengthening a string on an instrument, one could produce higher or lower pitched tones. To Pythagoras, every aspect of life was founded upon science and mathematics. Once again, the idea of Cosmos, beauty and order, shines through. The order of music tempos and tones are what differentiates generic sounds from music.

As we listen to music in today’s society, we tend to realize that the music actually sounds quite pleasing. It’s just the lyrics to the songs that really suck. However, music in today’ society sounds very pleasing to the ear, and it is only because music today’ is based on one of the most significant times in music history, known as the Common Practice Period. There were numerous composers and arrangers of this period that were so bright that their musical talents could light the world alone. However, where did the aspects of the Common Practice Period originate from? Where did the concept of ‘music’ even originate from? Music was actually introduced to the world around the time of 500 BC. The great Pythagoras in accredited for plucking a string to create a tone. Mind you, Pythagoras is also accredited for the world’s knowledge of the Pythagorean Theorem, and that is why Music has so much correlation to mathematics, and mathematics has so much correlation to the arts. Now, it was for a sincerely and fairly large interval of time that music was very monotone, but this is just because it was first invented in these times. It was not until around the 1400s when music began to become popular

In conclusion, music has always had a relationship with music. A composer must take in to account all the instruments when writing a symphony. The only logical reasoning to suggest this is math. How else would he know when to have the bass come in and the violins to carry a note? The composer must figure out the timing of each beat, timing is everything. Music often repeats patterns, same as math. One could also suggest that a dancer uses math when choreographing dance

Greek mathematics was also much more sophisticated than mathematics that had been developed by other cultures whereas they show the use of deductive reasoning to derive conclusions from definitions and axioms and proved them. Greek mathematics refers to the time between 600 B.C to 529 A.D. Most of the mathematical work done by the Greeks was geometry. It is said to have started with Thales, a famous Greek mathematician, who was the first person to lay down the abstract development of geometry. He established what is known as Thales Theorem. Thales used geometry to calculate the height of pyramids and find the distance from ships to shore. However, some say that Pythagoras deserves the true title for the birth of Greek mathematics. He is believed to have coined the term mathematics, which is where the study of mathematics began. He established a school and was also credited with the first proof of the Pythagorean theorem, but as we know, he remains a controversial figure. Those these two were the start to Greek mathematics, it is obvious that it was in no way limited to just these two men. Many more mathematical figures introduced new ways of thinking as we will soon

Philosophers such as Boethius, Pythagoras, Plato, Aristotle and Socrates were very important to the development of music. Pythagoras is credited to having discovered the rations between certain intervals: the octave (2:1), the fifth (3:2) and the fourth (4:3), just by having walked by a blacksmiths shop and noticing the difference and beauty in sound when multiple hammers hit the anvil. He was so curious was to what made these intervals sound harmonious, he realized that the difference in the weight of the hammer is what caused these intervals to sound that way, because they were simple ratios of each other, therefore they were called “perfect” intervals. To Pythagoras, music was the mathematical basis of sound, a law which fundamentally governed the relationship of all physical bodies and the

According to Goodall, harmony is a word that borrowed by other language to show the well-being, human warm, agreement or friendliness. In music, harmony is the vertical of pitch with a part of several pitches sounded at the same time. It unlike rhythm and melody as it was not part of music from the beginning but it is an upstart. Harmony combined pitches into chords to please our ears. Harmony is a magic compare to other elements of music. The tonal-gravitational forces for harmony are more complex and powerful than the melody. It contributes to the effect of the motion in music and it allows the component to manipulate the human emotion. Besides, harmony is music coming together with two or more sound to make effect and all around the world

As a piano student in Indonesia with an upcoming exam just a few months away, I discovered that my practicing would be less grueling if I analyzed the piece first. Soon afterwards, I began to incorporate music theory into my piano teaching, and the result was impressive, my students were able to progress faster and their performances improved significantly. From that moment, music theory became an inseparable part of my piano teaching. My determination to be an effective teacher compelled me to keep learning, and as I was learning, I found myself immersed in my new subject matter, music theory. I had a chance to study music further when I was in the US.

Music dates right back to the prehistoric eras where primitive instruments were constructed using items like bone and wood. These primitive musicians would not have known many of the modern terms such as octaves

Ever since c. 17th century, musical compositions have manipulated the standard aspects of music, which include rhythm and melody. More importantly, many musical compositions have incorporated complex math within, for examples again, melodies and rhythms that create a uniqueness that has yet to be perfectly matched by other composers. One other key aspect of music in general, harmony, is where a fairly complex mathematical formula is involved: the harmonic mean. Because harmony is a major component of music, it is no surprise that this harmonic mean can be applied to nearly all types of music. Basically, a harmonic mean-as it applies to music-~is any possible division between an original note and the octave of that note that produces a different note.

We have a new conductor? Who 's the new conductor? I 'm sure it 's one of your famous friends. Is it Babes?