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The Golden Ratio and the Aesthetic Balance of Music. One of the most intriguing connections between geometry and music lies in the Golden Ratio (ϕ ≈ 1.618), a mathematical proportion that appears in nature, architecture, and the arts. This ratio has been found in the structural organization of many musical compositions, influencing both their form and phrasing. Classical composers such as Johann Sebastian Bach, Ludwig van Beethoven, and Claude Debussy intuitively structured their works around th
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