The original tie-up looks like this:

Here's one solution:

Tie up your loom like this:

The treadles of the original tie-up correspond to treadles or pairs of treadles in the reduced tie-up according to the following table:

You'll need to modify your treadling draft accordingly.

When there is one solution, there are often others (sometimes thousands of them.) Given one solution, though, you may be able to find others. You may also be able to modify this solution, by doing things like rearranging the treadles in order to get a tie-up which is easier to weave.

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