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Fibonacci Rhythm - no bar pattern, highly structured but never repeats - played on harmonics

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Published on Sep 22, 2011

This rhythmic pattern has no fixed measure size of any description - but it isn't free time either - it's highly structured.

This is a feature of Bounce Metronome: http://bouncemetronome.com

Here is how it works:

The two beat sizes in the fastest rhythm are in the golden ratio to each other.

Then - all the rhythms in all the other parts are exactly the same rhythm as the fastest one, only played more slowly.

It isn't a polyrhythm either - because any beat in any of the slower parts is played exactly in time with beats in all the faster parts.

The beats in the slower parts are sort of like measures for the faster parts - but not really because they are of two different sizes and the patterns of "measure" sizes never repeat either.

Really - if you try to categorise it using conventional ideas of measures or polyrhythms etc. then you can't do it. It needs new ideas to think about it.

I've only done a short section for this movie. But the pattern can continue like this endlessly, and if done properly, will never repeat at all, not at any time scale.

Longer soundclip available here: http://soundcloud.com/robertinventor/... - for a slight variation on this rhythm "longest beat nearest to most deeply reinforced beat".

The original idea of a Fibonacci rhythm of this type is by David Canright.

He found that the mathematical ideas behind it have surprising connections with Penrose tiles. This is a cleverly constructed pair of tiles (with little notches on the edges to constrain how they can fit together a bit like jigsaw pieces) which can be used to tile the plane completely with no gaps - but however hard you try, they can't be put together to make any kind of repeating pattern at all.

In fact the long and short beats of this rhythm correspond exactly to the wide and narrow rhombs of a row of a Penrose tiling. In a way you are listening to the rhythm of one of the rows in a Penrose tiling.

I made this video with Bounce Metronome Pro - but did it by hand, by entering a list of the correc5t beat sizes for the fastest rhythm - then did all the other parts by skipping beats as needed.

So, you can do it in the same way, by hand, I can explain in detail how it was done for anyone who is interested or provide a demo project for it - but it was a bit laborious to make that way.

What I need to do is to add an option to make these Fibonacci rhythms to the program. Probably will be easy to do if I do it exactly the right way, but not sure yet how to program it exactly. Tune Smithy has the rhythms in it already, but synchronising them with the bounces requires thought, because the bounce visuals are set up around the idea of a repeating measure of some sort.

So - this is more like a preview of a possible feature to add to Bounce Metronome. It's a preliminary experiment to see what it is like and whether it is worth doing.

I think yes, from this video, when I get the time, it is worth adding, as a new rhythm feature.

Do you agree? Do let me know if you want this rhythm in Bounce Metronome - or want to see more videos like this on youtube.

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