Where It Really Lives
As I’ve been explaining, people constantly see the golden ratio where it isn’t. But still, it is a real thing, and it does manage to show up in some astonishingly odd places.
Most of the real appearances of the golden ratio are related to the Fibonacci sequence. Because the Fibonacci sequence and the golden ratio are deeply connected, wherever the Fibonacci sequence shows up, you can find the golden ratio. For example, the basic scale used by Western music is built on the Fibonacci sequence, and the chord structure of most tonal music has numerous examples of the golden ratio between the tones that make up the chords. Several musicians have taken advantage of this pattern. My favorite example of this comes from the great ...
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