Fibonacci Sine Wave

Hello, can anyone help me? I don't have much brains for math and I need a formula of a sine wave that follows Fibonacci sequence (0;1;1;2;3;5;8;13;24...to infinity) to use in Serum VST synthesizer for the oscillator wave. From what i've found online the sin for Fibonacci is sFs(x)=(τx−τ−x)/root5 but this formula wont work in serum, can anyone help me figure this out?

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en.wikipedia.org/wiki/Golden_ratio
twitter.com/NSFWRedditImage

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You mean you want a wave function that behaves a bit like a sine (starting at (0,0) with a positive derivative) and it should hit the x axis at the fibonacci numbers?

Are you fucking kidding me!

noidea what you want, a golden spiral is not a sinewave

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if you want to draw the spiral the function is:
r = phi^(theta*(2/Pi))

there is no such thing as a "fibonacci sine wave" lol

fibonacci sequence doesn't equal the golden ratio

>fibonacci sequence doesn't equal the golden ratio

no, but the ratio of fibonacci sequence equals the golden ratio :)
en.wikipedia.org/wiki/Golden_ratio

Thank You everyone for joining in the discussion. To clarify - yes, i know the Fibonacci isnt a sine wave of any sorts, I want to apply part of the spiral and make a sivewave that resembles the spiral's curve

No, I want a single sinewave (mirrored from perspective of 0;0) that is CURVED like the fibonacci spiral (the second image uploaded is an example of a sine I want to make from spiral's curves)

oh, a golden wave
here is a sinewave that conforms to phi amplitude:
how about f(x) = sin(x) * phi^(x*(2/Pi))

This is a bit off topic. I just did this discrete structures problem - "How many bitstrings of length n lack the substring 00?" turns out the result is the sum of the Fibonacci series at n. Kinda blew my mind.

***not the sum, the term.
its the sum of the previous two entries.

just find the corresponding fourier series for it. shouldn't be too hard

you could make this wave pretty easily with clamped spline interpolation. Only issue is that you would get a pointwise cubic function. Not sure if that's an issue because I don't know much about synthesizers.

I'd do it myself but I'm lazy and my matlab subscription expired.

that did not work ;/
I'll upload what arguments are provided in the manual

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