How Did Pythagoras Contribute To The Music World

The creations of Pythagoras were very powerful during the era in which he lived in. He created a community of followers (known as the Pythagoreans) who believed that mathematics was fundamental and ‘at the heart of reality’ (source 1). The people in the society were all proficient mathematicians took mathematics very seriously, to the extent that it was similar to a religion (source 1).

Pythagoras made influential contributions to philosophy and religion in the late 6th century BC. He is often revered as a great mathematician and scientist and is best known for the Pythagorean theorem which relates the two sides of a triangle to the hypotenuse using the formula a squared plus b squared equals c squared. However, because legend and obfuscation cloud his work even more than that of other pre-Socratic philosophers, one can give only a tentative account of his teachings, and some have questioned whether he contributed much to mathematics or natural philosophy. Many of the accomplishments credited to Pythagoras may actually have been accomplishments of his colleagues and successors. Some accounts mention that the philosophy associated with Pythagoras was related to mathematics and that numbers were

Hipparchus was a greek astronomer, geographer, and mathematician born 190 B.C. in Nicaea and died in 120 B.C. Rhodes, Rhodes, Greece. Hipparchus is accredited as the inventor of trigonometry because of his discovery of the first table of chords and also because he's the only person with valid data of the discovery and usage of trigonometry. In order to calculate the rising and setting of zodiacal signs, Hipparchus brought to light the division of circles into 360 degrees and the calculation of chords by looking at the triangles (spherical triangles or triangles that made up a circle) differently. Hipparchus experimented putting all triangles to be within a circle and with the three points each touching the

Music played a significant role in the lives of ancient Greeks. They believed that music fostered one’s relationship with the gods, and some instruments, such as the lyre, were created by the gods. Music and dance were also taught

The renaissance architects and artists has already influence into the mathematical term of portion and perspective because their works have ticked the rivaled nature. As explain the article Galileo used mathematical in a equal skill to reveal that the underlying structure of physical space and emotion could be reduced to mathematical analysis. So in his analysis Galileo described that connecting physical space and real motion could be observed that a uniform change of his neo-platonic, mathematical world. Galileo was the most important person in Europe because he was the bridge for the the scientific revolution in that continent.

The world of chaos and disorder has become the world of order and harmony. Ever since the ancient Greek times, chaos has been in existence. This led people to start thinking outside of the box. Many people started questioning why somethings were the way they were. As a result many philosophers emerged in the pre-Socratic times.

Greeks such as Aristotle, Pythagoras, and Hippocrates have left concepts still used in modern science and mathematics. Their ideas laid a basis for future European thoughts and studies in the fields. Their contributions such as the creating the Pythagorean theory, the writing a comprehensive classification of species and the systematizing of medical knowledge would influence the way Europeans thought and studied the world. Hippocrates’ Oath is still sworn by all medical practitioners. The contributions of the Ancient Greeks in science and math built a foundation upon which future Europeans would build and lead to the development of modern

Hipparchus of Nicaea changed the world of Math and Science for years after his final breath. Hipparchus is considered to be the father of Trigonometry, a branch of math, and to have study the orbit of the Moon and Sun determining their size and distance from Earth. Hipparchus of Nicaea is said to be one of the greatest scientist of all times. Despite his brilliancy barely anything is known about Hipparchus or his works. The information that we have on Hipparchus is second hand accounts from him many students, the work his students produced especially Almagest by Ptolemy, and the only surviving work that is still left today, Τῶν Ἀράτου καὶ Εὐδόξου φαινομένων ἐξήγησις (Commentary on the Phaenomena of Eudoxus and Aratus).

Pythagoras, the person who created the Pythagorean Theorem, theorized that vision came from light rays that came from an eye that then hit an object. A Greek

Many mathematicians consider Hipparchus to be the founder of trigonometry. He was a Greek mathematician that was born in 190 BC in Nicaea in Bithynia, which is known as Turkey today. It is known from Ptolemy’s work that Hipparchus developed a table of chords that were an essential tool in the early development of trigonometry. The chord was the only trigonometric function used by the ancient Greeks. He is also believed to be the first person to determine the exact times of the setting and rising of the zodiacal signs. It’s also known that he had a trigonometric table that he used when he was deriving the solar and lunar orbits and their eccentricity.Hipparchus is believed to be the first person to determine exactly the times of the rising and

For example, exact calculation of the Earth boundary “the distance around a circle or sphere”. He calculated this hard mathematic by using his normal and simple trigonometry and geometry knowledge by finding Earth as globe in space. During his time most Greek researcher Aristotle about (384-22 BCB) believed that the Earth is a globe, but none of was not sure that how big the Earth was. The entire Greek researcher observed that liners gone over the horizon while their poles were still noticeable. By this process Greek researcher know that the Earth is sphere. Also they had seen some changing movement position of all the stars in the big sky. He wrote few books that become very popular during that time, one of was named Catasterisms that about the constellation. This book was very helpful to find the story and description about each of the constellation, also it helps to count all the starts was included in it. But there were some confusion about his work which found by some scholars. From the Greek geographer’s books, he was showing his geographical skill and his all mathematical work was from the writing of the Pappus of Alexandria who was Greek geometer. He also wrote some books on geometry and arithmetic. However, he reported that his works was duplicating those were the cube and Sieve of Eratosthenes. It was a method for finding all the prime numbers. He not only wrote some books but also some literary critic, one of most common was “On the Old Comedy” that still available and it

So what this was about was how Pythagorean impacted the world around him. Whether it was about how he revolutionised math or how he made a whole group that followed him and his beliefs. So this man thought that knowledge was being able to figure out math and do it and to follow their rules that made up to fall in line with what they believe in. People took this knowledge and advanced it further even to today, this idea that Pythagoras made himself and figured out. So what this was about was how Pythagorean revolutionised math and how he came up with new equations such as a squared + b squared = C squared or

In Famous scientist’s (2015) article Pythagoras it states that five 3D solids were brought into existence by Pythagoras and the Pythagoreans, these items are identical on all of the sides and today they are called dice. The ranged from four sides all the way up to twenty and later Plato believed they belonged to the five Greek elements including aether (n.pag). They said “Pythagoras believed that, like everything else, music was based on whole number ratios. He also believed in its healing properties.”(n.pag) He later would learn that music was controlled by rations, like if a sting is shortened by half it raises an octave or if it’s shortened two-thirds then it moved the pit up one-fifth discovering that octaves are split into fifths not halves (n.pag). Those are the biggest discoveries of Pythagoras and the Pythagoreans, but they still has many more different discoveries. He has been accredited with a lot for being an enigma, and having written no books in his life. Even so the thoughts from learning of this brilliant mathematician tickles the mind and creates great and wonderful thoughts and ideas for many people. Learning about all of this should inspire anyone to travel and learn the ways of other countries and customs and even grasp their mathematical

Music in Ancient Greece was well integrated in their society, it played a large role in various ceremonies from marriages to funerals, as well as entertainment like plays or epic poetry. Although it is believed that music was invented in Africa over 55,000 years ago, music really began and took shape in Ancient Greece. Even the word music came from the Greek word muses who were believed to be the daughters of Zeus and were the patron Goddesses of creativity. There are many references to music in ancient Greece, from drawings on pottery of people playing, as well as literary works that even describe how the instruments sounded. Speaking of instruments, in addition to the voice being used as one, there are several instruments that are known to have existed in Ancient Greece, a few different string instruments including a lyre, a kithara (which is believed to be the ancient equivalent of a guitar), and a barbitos, which is a taller version of a lyre. They also had several wind type instruments including and aulos, pan pipes, a hydraulis (which eventually led to the modern day organ), as well as a salpinx, which was an ancient type of trumpet with a bone mouthpiece that was the origin of the many brass instruments that we know of today. Finally, we also know of several percussion instruments that were used by the ancient Greeks, these include a tympanum, which was like a tambourine, a crotala, and a koudounia. Music was actually one of the main teachings, along with gymnastics

What makes a person considered a genius? All of our opinions are different on what we think a genius is. For example, Einstein and Mozart were both considered geniuses but Mozart's talent came naturally where as Einstein had mentors help him along the way. Pythagoras was known as the first pure mathematician. So was Pythagoras considered a genius? Pythagoras was most well-known for what we know today as the Pythagorean Theorem and also that the sum of all the angles in a triangle is equal to two right angles. This is my reasoning on why I think Pythagoras was not considered what we think a genius is.