The Pythagoreans defined beauty as follows:

Beauty is the harmony of numbers. Pythagoras (about 580-500 BC) believed that numbers are things. The essence of nature, the organization of the entire prescribed universe, is a harmonious system of numbers and their relations. "The harmony of numbers" is actually the "harmony of information." Beauty is an information phenomenon. Beauty is not ordinary information, but harmonious information, an orderly combination of information. Disharmonious sounds are called noise, and harmonious sounds are called music. Order produces beauty, and beauty is the manifestation of order.

About the relationship between the Pythagoreans and beauty

Pythagorean aesthetics is derived from the core idea of ??the Pythagoreans: the origin of all things is "number" extended. Its overall essence lies in: the harmony of numbers.

Therefore, the pursuit of harmony has become the highest aesthetic thought of the Pythagoreans. This is also the spiritual source that has influenced Western harmony thought for hundreds of years. Because it originates from the aesthetic thought of numbers, Pythagorean aesthetics has a rational thought in it. It expresses everything in the world in a mathematical way, using mathematical numerical relationships and proportional relationships.

To create or define a beautiful phenomenon. Just like music in Pythagorean aesthetics, a mathematical relationship is used to express the harmony and beauty of music. Pythagoras used a mathematical relationship to stipulate the relationship between the length, thickness and pitch of music.

And created a kind of music knowledge - intervalology. In the science of music, Pythagorean aesthetics discovered the numerical relationship between string length and music, and thus obtained an accurate function and relationship of musical coordination. It played a very good guiding role in the subsequent development of musicology. At the same time, the aesthetics of the Pythagoreans were also applied to architecture and celestial bodies.

Pythagoras’s golden ratio theory, Pythagorean theorem and other theories are very good guidance in the fields of architecture, astronomy and other fields, and his aesthetic harmony idea is more reflected in the harmony between man and nature. ***Integrate harmony. Because Pythagoras believed that only when people are in harmony with nature and art can people understand the beauty of nature and the beauty of art. The beauty of nature and art also cultivates and edifies people to a certain extent, achieving a harmonious promotion effect.