musical patterns

Greetings, dear readers! Today, we embark upon a delightful exploration of the intersection between the realm of music and the world of mathematics. Our esteemed guide for this expedition is none other than the baroque master Johann Sebastian Bach, whose ingenious compositions continue to captivate audiences centuries after his time. The beauty of Bach’s music lies not only in its harmonious melodies and intricate counterpoint, but also in its underlying mathematical structure. It is well known that Bach was fascinated by numbers and their relationships, and he often employed mathematical principles in his compositions. One particularly fascinating example of this is his use of the “golden ratio” in his music. The golden ratio, represented by the Greek letter phi (φ), is an irrational number that is approximately equal to 1.6180339887… It has long been associated with beauty and harmony in art, architecture, and nature due to its unique mathematical properties. […]