A counter-marche loom is like a jack loom and a sinking shed loom combined into one loom. That is why you have 2 setts of lamms. Your upper lamms act like a sinking shed loom and your lower lamms act as your rising shed loom or jack loom. That is why you have to tie-up both parts on a counter-marche. It is twice the tie-up as the other types of looms because you have to tie-up the lower lamms like a jack loom and the upper lamms as a counter-balance loom…..
Here is an example..
Let’s take the Huck tie-up from S5 E3 pattern from the School of Weaving as an example. On page 4, I give you the mother of all tie-ups for Huck Treadling Rising Shed.

Treadle 1 is tied up to 1 and 3…so you tie those up to your lower lamms…that leaves 2 and 4 left over so you tie those to your upper lamms.
Treadle 2 is tied up to 2 and 4….so you tie those up to your lower lamms…that leaves 1 and 3 left over so you tie those to your upper lamms.
Treadle 3 is tied up to 1 and 2…so you tie those up to your lower lamms…that leaves 3 and 4 left over so you tie those to your upper lamms.
Treadle 4 is tied up to 3 and 4…so you tie those up to your lower lamms…that leaves 1 and 2 left over so you tie those to your upper lamms.
Treadle 5 is tied up to 1,2 and 3…so you tie those up to your lower lamms…that leaves 4 left over so you tie it to your upper lamms.
Treadle 6 is tied up to 2,3 and 4…so you tie those up to your lower lamms…that leaves 1 left over so you tie it to your upper lamms.
Treadle 7 is tied up to 1…so you tie it up to your lower lamm…that leaves 2,3 and 4 left over so you tie them to your upper lamms.
Treadle 8 is tied up to 4…so you tie it up to your lower lamm…that leaves 1,2 and 3 left over so you tie those to your upper lamms.
Does that make sense 🙂