The WTF Bach Podcast Bach and the Golden Ratio.
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Nov 8, 2023 Discover the fascinating connection between the golden ratio and Bach's music. Explore how mathematical principles like Phi influence his compositions, showcasing examples in pieces like the 'Art of Fugue' and 'Confiteor.' Delve into the intrinsic emotional depth in Bach's works, where music intertwines with profound themes. Hear about the historical significance of the Fibonacci sequence in art and nature. This podcast blends mathematical elegance with musical beauty, illuminating Bach's innovative spirit and his dedication to harmony.
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Golden Ratio in Art and Music
- The golden ratio (approximately 0.618) appears naturally in the Fibonacci sequence and fascinates artists and musicians alike.
- Bach and others use this ratio to place significant compositional moments around 61.8% through a piece for structural beauty.
Calculate Golden Section Point
- Calculate the golden section of music by multiplying the piece's total measures by 0.618 to find the point of structural emphasis.
- Use this measurement to listen for musical climaxes or changes around that measure.
Stretto Marks Golden Section
- In the Fugue in C major from the Well-Tempered Clavier, Bach places a unique stretto of all four voices precisely at the golden section, around measure 16.
- This showcases Bach's deliberate use of the golden ratio for structural musical effect.
