Andrew I have been looking at your problem and I suggest that If you have a welder tack a piece of RHS (rectangular hollow section) to the major axis of your dome and in the center of the RHS cut a section long enough to accommodate a turn buckle and weld the buckle to the RHS. This system is more stable than a cable and will allow you to put some considerable pressure to the turn buckle so you can bring in the difference.
Next time you want to build a round dome weld some sections of pipe into a star formation with equal lengths called a "spider" this will allow you to make a true round dome using the spider as a guide.
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