Hello,
Unforutnately, we do not carry handles that attach to a 7/16" spline. We may still be able to help but we would need to see your operator removed from the window so the arms that move the sash are fully visible to compare to our inventory. Thank you.
If there is no obvious way to detach the crank arm from the window linkage you may need to carefully drill it out. If you're concerned that the 33-077 pin would be too large, we also offer the 33-070 commonly used with the 33-206 washer. Review both options to determine the best fit for your application.
The pin and washer both measure 5/16" as shown below, which are often used in link arms with 3/8" diameter installation holes.
Our operators are not rated for windows that are a specific size. We base our recommendations on the style and dimensions of the original assembly. I can't say why the size of your spline differs from ours but the parts we've discussed would be our best options based on the information you've provided. If you decide to give it a try and run into any issues, our return policy can be found here.