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 – where the theme is developed and repeated.Mozart, for instance, based many of his works on the Golden Ratio – especially his piano sonatas.Įxposition – where the musical theme is introduced The Fibonacci Sequence can be seen on a piano keyboard.Ĭomposers 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.The Fibonacci Sequence plays a big part in Western harmony and musical scales. Leonardo da Vinci's use of the Fibonacci Sequence in 'La Gioconda' (Mona Lisa).

Fibonacci sequence spirals in nature