Remember, when playing a cross stringing scale, we are going across the strings to achieve an overlapping sound. For example, the G Major cross stringing scale:
When actually using cross stringing scales, I have found I hardly ever play the scale exactly as written. I include extra notes from minor 3rds, flat 7ths, to the blues note - a flat 5. If you don’t know what these note are, it’s okay, You'll hear the difference and pick it up by ear. So let’s take the G Major scale and make it more chromatic.
Now let’s try a D Major chromatic cross stringing scale.
Here's a twisted version of the C major cross stringing scale. It will twist the ear a bit.