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Is there a connection between mathematics and music?

Of course there is!

Music is the unconscious operation of mathematics in the soul!

As early as in ancient Greece, Pythagoras, a philosopher and mathematician, was the inventor of the single-stringed piano and put forward the harmony theory named after it, which was regarded as the discoverer of pitch ratio.

Nowadays, music production is based on digital signal processing, and the basis of digital signal processing is mathematics, which means that the most basic music production is mathematics!

Let's use some pictures to understand the relationship between mathematics and music.

In the Ming Dynasty, Zhu Zaiyu founded the law of twelve averages.

Harmonic and Fourier series decomposition

Fugue (pay attention to the relationship between repeated chapters)

Modal relation

Principle of electronic music subtraction synthesizer

Pythagorean sound difference

It can be seen that music can be quantified, which belongs to the art of sound and is related to mathematics.

From many musical creation techniques and ideas, it is also closely related to mathematics.

For example, in early music, the duration was divided into three parts at first, then into two parts and the proportion between each imitation part was determined; The early use of octave and fifth degree, the process of gradually adding third degree and sixth degree, and the idea of avoiding third degree all the time; The technique of musical climax at the golden section and so on.

There is a real musical work, Du Fei's Nuper rosarum flores, which is dedicated to Florence Cathedral. The music structure contains various mathematical proportions, which reflects the architectural structure of the church. For example, the ratio of 6:4:2:3 is the ratio of the church dome.

Various polyphonic techniques in the Baroque period were also numbers games to some extent. For example, reflection on the theme, retrograde and reflective retrograde. Functional harmony, which existed in the whole Baroque period, classical period and The Romantic Period, was also closely related to mathematical models.

Later, with the development of electronic music, many electronic music "creation" software or programs are themselves a programming behavior rather than the traditional "music creation" thinking, such as Max.

To sum up, as long as musical works are based on intervals and scales and their transpositions, they are closely related to mathematical thinking.

/kloc-in the 0/9th century, the mathematician Fourier proved that any periodic function can be written as the sum of sine functions (Part II), and sound wave is one of the periodic functions. The three qualities of sound: volume, tone and timbre correspond to amplitude, frequency and sine function sequence obtained by decomposition respectively.

The timbre of modern electronic music is mostly tuned by synthesizer, which is essentially the operation of various envelopes and shapes of sound waves, and there is a set of strict mathematical theories and algorithms behind it.

It seems that if you know more music, you can learn math well!

Then quickly pick up the music reservation app to learn music!

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