# How did the Pythagoreans study the relationship between music and numbers?

### How did the Pythagoreans study the relationship between music and numbers?

-C.. School pythagorean theorized the heptatonic scale in the Harmony of the Spheres, using reports of numbers simplest integers on the monochord: the octave (report 1/2, the string is split in two), the fifth (report 2/3, the string vibrates on its two thirds) and the fourth (report 3/4).

### Why does the fifth sound good?

With the starting note and its fifthwe now have two different notes which “sound good” whole. To construct new notes, all you have to do is look for the fifth following from the note that we have just found. These two notes will also sound harmonious.

### Who invented the name of musical notes?

It’s Guido d’Arezzo – also a Benedictine monk, but Italian – who discovered the trick at the beginning of the 11th century.

### What is the relationship between music and mathematics?

It seems that the ancient Egyptians studied the relationship between music and mathematics, but it was the ancient Greeks who discovered that music is very mathematical Andrew Griffiths 2 and who researched the idea of ​​musical scales represented by mathematical ratios .

### What are the key elements of music?

The key elements of music that have a strong relationship with mathematics are the sense of rhythm, intervals, scales, time, the shape of a piece of music, frequency, harmony, timbre, pitch and tone. There are also more abstract ratios like the golden ratio and the Fibonacci sequence.

### How to compose music?

It is possible to compose music using only mathematical rules, formulas and ideas. Although in fact composers usually don’t think mathematically, they use mathematical ideas without thinking.

### What is Music Theory?

Music: a story of proportion. A bit of theory… As early as Antiquity, Pythagoras managed to mathematically calculate the sound ratios of the most harmonious musical intervals. The interval between two notes is measured by calculating the frequency ratio between the highest note and the lowest note.