Modeled Fish Scales - 3D array?

I need to create architectural scales that look similar to fish scales -- meaning they are a wedge shape with a rounded end. I have no problem creating an actual scale.

The problem is that I need to apply those scales so that they follow the curve or a quarter-cylinder.

So at the bottom front edge of the cylinder, the scales are almost verticle but as you move to the top of the cylinder, they'd be almost horizontal.

They scales don't overlap, but each row/column touches each other with each row alternating offset like bricks.

I'm assuming the best way to create the pattern is a 3D array, but I'm having a lot of trouble with the 3D array function and understanding how to place objects in this way using it.

Keep in mind that I need to have these physically modeled....not using a rendered surface like a material.

Any help would be appreciated.

Copy the scale to form a column of 2 at half the spacing required.

Then use a polar array to form 2 columns of 2.

Delete all but 2 scales (leaving 2 diagonally positioned scales).

Use the 2D array to create a column of scales 2 wide.

Use the polar array to copy these around the cylinder.