Computing the Rate Conversion Ratio

We will define the rate conversion ratio as:

On another hand, we will define the aspect ratio as:

The cross web pitch is a geometrical feature given by:

The line pitch is a system dependent feature given by:

We well also remember that:

Combining all this, and assuming we want to achieve a specified aspect ratio not necessarily 1, we obtain:

This formula probably provides the more direct way to evaluate the requirement of the rate converter knowing the basic geometry of the application.