On Exploring a Musical Design

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

29 thoughts on “On Exploring a Musical Design

  1. 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.

    Liked by 1 person

  2. Good piano piece. Perfect for watching replays of the second round of the Memorial Tournament on the Golf Channel with the sound turned off!


  3. 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

    sings a
    of perpetual
    omniscient narrative lyrics.
    Tones reminiscent of azure bluebird lullabies.
    Enchanting like stars in indigo skies and blossoming like fragile fragrant bluebells

    Liked by 3 people

  4. 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.


    • Lynn,
      Nothing like some synchronicity. πŸ™‚ … Love the method behind the garden’s plan. πŸ˜€ … What did you think of this original piece? … especially as an audition piece?


  5. 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! πŸ™‚


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