![]() ![]() Some people think this is one of the reasons it sounds so good.Īs well as being used to craft violins, the Golden Ratio that comes from the Fibonacci Sequence is also used for saxophone mouthpieces, in speaker wires, and even in the acoustic design of some cathedrals.Įven Lady Gaga has used it in her music. 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 – and its value is partly down to the Fibonacci Sequence and its Golden Ratio. ![]() Read more: 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.Ħ2 divided by 38 equals 1.63 (approximately the Golden Ratio)Įxperts claim that Beethoven, Bartók, 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. Golden ratio is represented using the symbol.
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