0, 1, 2, 3, 4... - linear scale.

1, 2, 4, 8, 16... - logarithmic scale.

0, 1/2, 1, 2,

- the hell is this one ?

Because everybody is like "this is totally legit, but idk how it's called or what's the general rule ".

More generally:

0; n^0;

0; n^-1; n^0; n^1;

0; n^-2; n^-1; n^-1/2; n^0; n^1/2; n^1; n^2;

0; n^-3; n^-2; n^-3/2; n^-1; n^-2/3; n^-1/2; n^-1/3; n^0; n^1/3 n^1/2; n^2/3; n^1; n^3/2; n^2; n^3;

(not sure for this one)

Add negative numbers on the left for full scale.

And so on

If you scale your X;Y coordinates like this, 1/x looks like a straight line between 0;

and

;0 and x^2 looks like a -sinx rotated 45 degrees around origin.

Also, it's very symmetrical: if you multiply numbers equidistant from 1 or -1, you get 1; if you multiply the exponents of numbers equidistant from n or -n, you get 1, if you multiply numbers 1/2 of scale away from each other (full scale includes negative numbers) you get -1 !

So, who knows how that's called ?