4/22/2024 0 Comments Fibonacci sequence in nature videoWhat could be more beautiful than mountains and flowers and streams, right? So put that all together and you've got kind of a nice, beautiful, like, mother nature. It turns out the optimal angle of where they're arranging themselves is related to the golden ratio. Nature wants the sunflower to procreate so the more seeds the better. Think about, like, if you were gonna grow and plant lots of seeds on a flower you wouldn't just wanna equally spread them out.Īs you got further away from the center there'd be too much space. So, for example, if you go out and look at flowers and you start counting flower petals, most of the time you'll find a Fibonacci number. Well (laughs), so what we haven't talked about is how it shows up in nature. But in your opinion why should people care about the golden ratio? So does that mean we discount all the other stuff? (beep) But the piece in the title is Celesta, right? That comes in at bar 77 in the first movement and that has nothing to do with golden ratio or Fibonacci. Couldn't it just be that certain pieces that have that lineup with the golden ratio stand out and then music theorists gravitate towards that as an example? So a lot of people have said, well look, if he was doing this, he was using Fibonacci and the golden ratio, you know, why didn't he tell people or why wasn't it more obvious? You don't see notes in the margin with these little details, right? (chiming bell sounds) - So Bartok I think was being accused of being really cerebral in his music, so he was pretty notoriously silent about his work. Some say the golden ratio and the Fibonacci Sequence are evident in Music for Strings, Percussion and Celesta by Hungarian composer, Bela Bartok.įor example, the opening xylophone solo in the third movement has a rhythmic pattern following the Fibonacci Sequence going from 1, 2, 3, 5, 8 and then back down 5, 3, 2, 1. Music theorists have claimed to find the golden ratio in the works of many famous classical composers from Mozart to Debussy. In school I learned it as, okay, a piece of music has a golden section which is that point, that climactic, it doesn't always have to be dramatic but just something special always happens. I was reading, trying to learn like, okay (laughs). (futuristic music) - I didn't know anything about golden ratio. Well, a lot of people see these golden spirals everywhere. If you connect each corner of the squares with an arc you'll get a golden spiral. Many believe the Sequence could explain growth in nature. Well as the Sequence goes higher, the ratio between the numbers gets closer and closer to 1.618 or Phi. This pattern starts with zero, then each following number is the sum of the two before it.Īnd what does that have to do with the golden ratio? (dramatic voices) Which brings us to something called the Fibonacci Sequence. They called it the golden ratio and later the divine proportion. If you cut a square off a golden rectangle, you create a smaller rectangle with the same golden proportions.Īnd because this long irrational number made sense visually but couldn't be explained as a fraction, some ancient philosophers figured it must have a higher meaning. It's golden because the ratio between its sides match Phi. So instead of saying 1.6180339887 and so on, we'll just say Phi. The golden ratio is the irrational number Phi and like Pi, it doesn't end. To explain the golden ratio we asked our friend Joe from It's Okay To Be Smart to fill us in. Well, many people believe that this isn't simply a coincidence but part of a natural order to the universe, something called the golden ratio. The notes, the chords, phrases, the dynamics and harmony, they can all feel like they were meant to go together. (buzzing low tones) - Have you ever noticed how some pieces of music just seem to make sense? It's called the golden ratio and you might have seen it before but did you know that you can also hear it? This number can be seen almost anywhere you look. Since the beginning of time a series of numbers has inspired the world around us.
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