Hidden Sequence Discovered (Audio) by RG Paddler

Fibonacci's numbers reveal a sequence in the chromatic musical scale.This is just a ditty I quickly sequenced to demonstrate what it sounds like.RG

http://macjams.com/song/61922 - free mp3.

http://www.worldcomposition.com/ for info.

Thank You.RG

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[rgpaddler]

good point - well noticed - I added it at the end of the sequence.Further on it becomes apparent 1 only appears once.Shoot me down if I'm wrong

[hotguy996]

I just noticed an eror, the Fibonacci series starts with 1, 1, 2, 3, 5, not 1, 2, 3, 5, you did not repete C twice in the begining

[emmajcurtis]

Cool! God is a rocker!

[MrTanookiMario]

That's... interesting. I wonder if many other sequences are cyclic when you apply a modulo to them.

[ernestov7]

You used base 12: 1 is C .... 12 is B. Then the pattern is 24 notes long (good number to make music). If you use base 11: 1 is C ... 11 is A# (there is no B). Now pattern is 10 notes long, not bad. If you use base 10: 1 is C ... 10 is A (no A#, no B). Now pattern is 60 notes long, a symphony??? Base 9, 24 notes Base 8, 12 notes Base 7, 16 notes Base 6, 24 notes Base 5, 20 notes Base 4, 6 notes Base 3, 8 notes Base 2, 4 notes Base 1, 1 notes =)

[ernestov7]

It is ok. If you have ever noticed, 0 is the first number of the real and complete Fibonacci Sequence, so your sequence should begin as B C C C# D... You know, in music 0 and 13 are the same, just an scale up.

But musically, it sounds great as you have it ;-)

About why this pattern appears... Maybe you notice there are several patterns, not just one. It depends on the base you take to restart the notes. Since there are 12 different notes, you can create 12 different patterns. I'll explain:

[dadoctah]

Of course, once the series starts to repeat once, it will repeat indefinitely because the "named notes" in a scale keep repeating modulo 13.

[88joey88]

@Seabeaux13 (Cont.)  ,2,-1,1,0,1,1,2,3,5,8. This is called NEGAFIBONACCI

[88joey88]

@Seabeaux13 If you begin the sequence at zero then you would get 1,1,2,3,5 instead of 1,2,3,5 like hotguy996, and others, said. This is the full fibonacci sequence when going through the positive numbers. Since zero IS a number it would be the FIRST used in the sequence (since 0th is not a positional term like olkomat would have you believe). In any maths textbook you would find the sequence presented like this. If you want to extend the fibonacci to the negative index then it gets weird -8,5,-3

[Seabeaux13]

@88joey88 if you add 0 to the number prior you would just get a bunch of zeros repeating, right?

[olkomat1]

@88joey88 well, technically, the 0th number is zero. in this experiment, they began with the FIRST fibonacci number, which is 1. This is so that the 5th number is 5 and the 12th number is 144; it makes the sequence more special if you "begin" with 1.

[88joey88]

Fibonacci actually starts with 0