The Problem of the Twisted Skein

I have a problem that I'm hoping to correct. My skeins have twists to them when held open.

It's not a lot of twist but it's definitely there. I want to prevent it at the source rather than try and correct the problem with washing and stretching.

When I ply, I check that every single yard length is exactly balanced before I wind on to the drop spindle. I think the extra twist is getting introduced when I wind on.

The yarn I'm currently plying, I'm winding it on to the spindle at a ninety degree angle instead of my usual forty-five. Hopefully that will make a difference.

I should get a niddy noddy and quit making do with two c clamps spaced a yard apart on the table edge, just in case that helps.