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I,m in the process of framing a new home with a variety of roof types. I have no problems with gable framing, or standard hip framing but I've run into a dilema. I have a hip roof that runs perpendicular to the main gable roof. The ridge of the hip roof intersects the slope of the main gable at the half way point. So far no problem. Here's where I start to get lost. The two sides of the hip roof projecting from the main roof, which is a 12/12 pitch, are at a 7/12 pitch but the front of the hip roof is at a 12/12 pitch. Is the seat cut of the hip rafter half the difference of the two pitches or 9.5/17? Also, when I look at the print, the hips don't fall directly over the corners.Is this what is called a bastard hip? If not , it should be. Any help figuring these hips would be appreciated.