The Golden Ratio can be found throughout the violin by dividing lengths of specific parts of the violin. Stradivari used the Fibonacci Sequence and the Golden Ratio to make his violins. There's a reason a Stradivarius violin would cost you a few million pounds to buy вЂ“ and its value is partly down to the Fibonacci Sequence and its Golden Ratio. To save the sound of a Stradivarius, this entire Italian city is keeping quiet Hailed as the master of violin making, Antonio Stradivari has made some of the most beautiful and sonorous violins in existence. The first movement as a whole consists of 100 bars.Д¦2 divided by 38 equals 1.63 (approximately the Golden Ratio)Д®xperts claim that Beethoven, BartГіk, Debussy, Schubert, Bach and Satie (to name a few) also used this technique to write their sonatas, but no one is exactly sure why it works so well. The exposition consists of 38 bars and the development and recapitulation consists of 62. In the above diagram, C is the sonata's first movement as a whole, B is the development and recapitulation, and A is the exposition. The Golden Ratio in Mozart's Piano Sonata No. Let's take the first movement of Mozart's Piano Sonata No. Mozart arranged his piano sonatas so that the number of bars in the development and recapitulation divided by the number of bars in the exposition would equal approximately 1.618, the Golden Ratio. Development and recapitulation вЂ“ where the theme is developed and repeated.Mozart, for instance, based many of his works on the Golden Ratio вЂ“ especially his piano sonatas.Д®xposition вЂ“ where the musical theme is introduced The Fibonacci Sequence can be seen on a piano keyboard.Д¬omposers and instrument makers have been using the Fibonacci Sequence and the Golden Ratio for hundreds of years to compose and create music. Starting to see a pattern? These are all numbers in the Fibonacci Sequence: 3, 5, 8, 13. In a scale, the dominant note is the fifth note, which is also the eighth note of all 13 notes that make up the octave.A scale is composed of eight notes, of which the third and fifth notes create the foundation of a basic chord.

Eight are white keys and five are black keys. An octave on the piano consists of 13 notes.

Harmonic sequence