Accelerating Time Distortion / Generating an Accelerating Sine Wave Tone (sin(t^2) and the like)

[Zizoo]

How could I possibly make a sound speed up gradually, such that the old time progression to new time progression graph would form a parabola, rather than a flat line segment or group of line segments?

That is, how would I generate a wave with the equation
sin(f_0*t^2)

Where '_0' should be read as a subscripted '0', or f-nought, for initial frequency?



Is there any way I can possibly implement general functions of 't', as it were, in a generated tone? For instance, if I wanted to make a tone that draws up-down alternating semi-ellipses, if I could do it this way I could apply the equation
x^2 + t^2 = 1 => t = sqrt(1 - x^2)
to building it....

Do I have to rip it apart and tinker with the samples iteratively to do these things?
If so, what would be the most efficient way to go about this? The most important thing to me for now at least is to be able to make an accelerating sine wave, or sin(t^2) wave specifically.

[edgar-rft]

Hi Zizoo,

The probably easiest way to to this is controlling FMOSC with
a self-computed envelope.

Envelope functions are e.g. PWL (linear) and PWE (exponential).

- edgar

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[Zizoo]

Ah, thank you. I'm quite new to this, so I had to look up most of what you were saying though. ^^;

I ended finding and adapting the plug-in here to my purposes. It should be noted that while the second block has more functionality, it takes some debugging to work it.

Thanks again.