Let h is variable with range [0,1]. If 1 represents harshness (noise osc),0 represents soft (sine), and 0.4 represents between harsh and soft (square).

Here is the order of common wave shape:

 0.0: sine
 0.1: triangle
 0.2: sawtooth
 0.4: square
 0.4 > noise (uncertainty)

Then, there must be transition between sine, triangle, sawtooth, and square.

And let x(t, h) is a signal over time that depends on defined harshness parameter.

How do you make a relationship of x, t and h?

Note: It doesn't need really exact to what I define. e.g. square at 0.7.

Let h is variable with range [0,1]. If 1 represents harshness (noise osc),0 represents soft (sine), and 0.4 represents between harsh and soft (square).

Here is the order of common wave shape:

 0.0: sine
 0.1: triangle
 0.2: sawtooth
 0.4: square
 0.4 > noise (uncertainty)

Then, there must be transition between sine, triangle, sawtooth, and square.

And let x(t, h) is a signal over time that depends on defined harshness parameter.

How do you make a relationship of x, t and h?

Note: It doesn't need really exact to what I define. e.g. square at 0.7.

Here is harshness of wave shape: