Golden ratio music

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.

1. Where does the Golden Ratio or the Fibonacci sequence appear in music?
2. What songs have the golden ratio?
3. What is the golden ratio in sound?

Where does the Golden Ratio or the Fibonacci sequence appear in music?

Fibonacci and phi relationships are often found in the timing of musical compositions. As an example, the climax of songs is often found at roughly the phi point (61.8%) of the song, as opposed to the middle or end of the song. In a 32 bar song, this would occur in the 20th bar.

What songs have the golden ratio?

Below you find a selection of musical pieces based on the Fibonacci series and the golden ratio:

• Bach – Variazioni Goldberg.
• Mozart – Sonata no. ...
• Beethoven – Sinfonia n. ...
• Debussy – 12 Preludi (Libro Primo)
• Satie – Sonneries de la Rose et Croix.
• Bartók – Musica per archi, percussione e celesta, BB 114, SZ 106.

What is the golden ratio in sound?

The Golden Ratio:

The ratio, named phi, of height to width to length of a room to achieve optimal sound in a room is approximately the width 1.6 times the height and the length 2.6 times the height, and was named for the Greek sculptor Phidias.