I'm designing and building a small timber frame cabin for a friend on Salt Spring Island, B.C. In plan view, the design is basically a cross with 2 simple gabled structures intersecting at right angles. The frame has common rafters at a 10:12 pitch resting on continuous wall plates . There is no ridge beam or mid-span purlin. The rafter span (building width) is only 14 feet. I am looking for some advice on the joinery where the 4 valley rafters (at the intersection of the gables) meet. I'm considering have 2 'ties' connecting the opposing valley rafters at about mid-span and having a 'king post' running from the intersection of the ties to the intersection of the 4 valley rafters. The 4 valley rafters would be tenoned to the king post. I am proposing a half lap where the ties cross with a square through-tenon at the bottom of the king post running through the half lap. Does this make sense? Any alternative suggestions? Thanks.