Introduced in 1202 by Italian mathematician Leonardo of Pisa (also known as Fibonacci), the Fibonacci Sequence is a series of numbers formed when the next number is determined by adding the previous two numbers. By definition, the series begins with 0, 1.
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, …
The Fibonacci Sequence is also related to the Golden Ratio – the divine proportion – the golden mean – the ratio that is most pleasing to humans – the ratio applied in architecture, drawing, painting, designs, and more – the ratio commonly found in nature. For your weekend Explore, here’s an original musical composition inspired by the Fibonacci Sequence. Enjoy, and for those needing more about Fibonacci and the Golden Ratio, see the links below the video.
Two related past posts
A Frank Angle 
It’s fascinating, Frank, how this sequence appears again and again in almost everything – I’ve just had a quick search for Fibonacci in art. I’m not sure whether the effect was intended to be there in all works, but it’s interesting to see it highlighted just the same.
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Tom,
Fascinating it is. Regarding art, I kept think that so much of our based on the designs provided by nature. Glad you enjoyed this musical tribute.
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Interesting, Frank. I thought it was cool that the pianist used the sequence to write an audition piece.
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Merril,
Me too … and the young man is a bit on the talented side.
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Just a bit. 😉
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Good piano piece. Perfect for watching replays of the second round of the Memorial Tournament on the Golf Channel with the sound turned off!
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Tim,
Glad you enjoyed the piece. However, would continuously playing the short piece in the background for multiple hours start to get to you?
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You find the coolest stuff, Frank. Thanks.
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Elyse,
There’s a lot of stuff out there … so my unconventional thoughts allows me to uncover some gems.
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I think you’re right, Frank….the designs provided by nature have inspired much of great art. This composition, though, is inspired by human braininess and definition…that’s probably why it sounds so god- awfully mechanical to me. (For repetitiveness that is not so annoying, there’s the sensuous “Bolero” by Ravel.)
Recently, some poets have come up with a poetry form that is also based on the fibonacci sequence….they call it the Fib. It’s based on counting syllables in each line according to the sequence. (Counting syllables rather than metrically stressed words is usually a mistake in English poetry). It is mostly a clever gimmick. I haven’t read one yet that I like, but here’s an example of one of “the best” floating around the internet:
Heart symphony
My
soul
sings a
symphony
of perpetual
omniscient narrative lyrics.
Tones reminiscent of azure bluebird lullabies.
Enchanting like stars in indigo skies and blossoming like fragile fragrant bluebells
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Cynthia,
Wow … I had no idea about the Fib poetry, but I can see you gimmick angle. As far as the tune goes, I see your point about its repetitive nature.
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Special interest in this and a brilliant piece by Bence Peter! 🙂
Happy weekend, Frank! 🙂
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Marina,
I was hoping you would see this one! 🙂
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Happy Sunday, Frank.
I write Fibs sometimes. I’ve always had an affinity for mathematics. It’s pleasing the way it combats chaos and finds order in the universe.
Here a link to a recent one: https://friendlyfairytales.com/2016/05/10/driftwood-phoenix/ if you’re interested. Great post!
Warmly, Brenda
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Brenda,
Awesome … just visited the link .. thanks … and until this post, I had no clue about Fibs!
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I read the other one a commenter had left, and I like it a lot. I think Fibs make sense with how our brains work. Small flutters, then a vast outpouring of thought.
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Frank, I was thinking of you this week while watching videos from the RHS Chelsea Flower Show. There was an amazing show garden called the Winton Beauty of Mathematics Garden that was based on mathematical formulas, including Fibonacci. Here’s a link to some photos of it: https://www.rhs.org.uk/shows-events/rhs-chelsea-flower-show/Gardens/2016/winton-beauty-of-mathematics-garden It was my favorite garden of the show, but alas did not win a major award.
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Lynn,
Nothing like some synchronicity. 🙂 … Love the method behind the garden’s plan. 😀 … What did you think of this original piece? … especially as an audition piece?
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So interesting, and i love learning new things. Crazy piano!
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Resa,
This one was creative and fun for me … glad you like it … the other links are interesting.
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I’m completely fascinated with his topic, and I owe you the credit for calling it to my attention. The Golden Ratio is something I had never heard of prior to the last time you posted about it. I wish I’d been introduced as a much younger person when I struggled with math–I think it would have spurred me on reach a little higher! 🙂
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Debra,
Glad I was able to provide a spark for learning … and on someone who enjoys learning! 😀
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And the DNA molecule too.
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Stephen,
Absolutely … of which I mention it in the Phi post. … and welcome first-time commenter.
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I didn’t know Fibonacci can produce such a beautiful music. Thank you so much for sharing ☺
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Mithai,
For more beauty (once exams are over), I encourage you to visit the other posts I link on this post (at the end).
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Sure will do that 😀 I always know that visiting your blog, I’ll get to hear some of the best music. Most of the internationally famous songs that play all day are by Rihanna, Katty Perry etc……not exactly their biggest fan…….so it feels great to listen to some true western songs which otherwise being from a different country is not possible. And you select some of the best music, always a treat to visit your blog, not to mention the amazing posts 🙂 Thank you so much for sharing them!!
Wishing you and your wife a great day 🙂
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Many thanks for the kind words! 🙂
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You are welcome 🙂
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