DBW,
Hope the pond is looking better by now. The treatment may take several days to get full effect. Essentially you are increasing the settling rate of solids through coagulation by bridging solids to larger more dense and faster settling size. The settling rate will be impacted by the water temperature and wave action (wind). If you got 14" visibility in 1 day, wait, see what happens in a week. I would not add more alum for a while for fear of reaching the pKa value where buffering is lost and pH drops quickly. Building alkalinity back in the water through lime addition would allow additional alum if you need more solids reduction. If you can test alkalinity and have means of accurate measurement of small dosages, you can do a jar test that mimics the pond (assuming you have an accurate volume estimate of the pond)and can get an accurate dosage calculation for lime and alum.
Here is something to try that might help. Take a 1 gallon clear bottle of pond water and see how clear it looks when viewed across the bottle. If you can easily see detail (such as large news print) across this water column, then I would let nature do the rest through plancton bloom.
Mike

Mike