Tony,
I believe I have worked out how to convert your dough recipe for two 12" round pizzas so that you can use it to make a square (8" x 8") pizza with the same crust characteristics as the 12" pizzas. In case you would like to go through the same sort of exercise yourself sometime in the future, this is how I did it:
First, I used member November's Mass-Volume Conversion Calculator at
http://tools.foodsim.com/ to convert 3 1/2 cups of Gold Medal all-purpose flour to a weight, using the "Dip" method of flour conversion. Next, I converted the remaining ingredients from volumes to weights using standard volume-to-weight conversion factors for such other ingredients. I then added the weights together to get a total weight, which in this case was 37.09 ounces, and calculated the baker's percents for the various ingredients (using a hand calculator). I then divided the total dough weight in half to get the amount of dough for one pizza which, in this case, is 18.54 ounces. Using the "Dough Weight" option of the expanded dough calculating tool at
http://www.pizzamaking.com/expanded_calculator.html with the dough weight for one pizza (18.54 ounces) and the calculated baker's percents, I got the following:
Gold Medal All-Purpose Flour (100%): Water (70.6600%): ADY (1.43617%): Salt (1.13099%): Vegetable (Soybean) Oil (22.0873%): Sugar (0.80785%): Semolina (16.9199%): Total (213.04221%):
| 246.75 g | 8.7 oz | 0.54 lbs 174.35 g | 6.15 oz | 0.38 lbs 3.54 g | 0.12 oz | 0.01 lbs | 0.94 tsp | 0.31 tbsp 2.79 g | 0.1 oz | 0.01 lbs | 0.5 tsp | 0.17 tbsp 54.5 g | 1.92 oz | 0.12 lbs | 4 tbsp | 0.25 cups 1.99 g | 0.07 oz | 0 lbs | 0.5 tsp | 0.17 tbsp 41.75 g | 1.47 oz | 0.09 lbs | 12 tsp | 4 tbsp 525.68 g | 18.54 oz | 1.16 lbs | TF = N/A
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Note: For one 12" pizza; flour weight based on "Dip" method of flour measurement
To determine the thickness factor for the recipe to allow us to scale the recipe up or down in size and to use essentially any type of pan, I went to the deep-dish dough calculating tool at
http://www.pizzamaking.com/dd_calculator.html. I selected the "Thickness Factor" option of that tool and entered the baker's percents from the above table. Also, since the above recipe is intended to be used to make a 12" pizza in a straight-sided pan with the dough pushed up the sides of the pan by 1 1/2", I also entered that data into the deep-dish dough calculating tool. Once all of that data was in the tool, I played around with the value of the thickness factor (in the thickness factor box) until I got the same outputs as in the above table. Knowing that most deep-dish doughs have a thickness factor in the range of 0.11-0.13, I simply used a value in the middle of that range and kept tweaking it until I got the right outputs. In this case, it was 0.11572. With that value, the deep-dish dough calculating tool produced the following:
Gold Medal All-Purpose Flour (100%): Water (70.6600%): ADY (1.43617%): Salt (1.13099%): Vegetable (Soybean) Oil (22.0873%): Sugar (0.80785%): Semolina (16.9199%): Total (213.04221%):
| 246.73 g | 8.7 oz | 0.54 lbs 174.34 g | 6.15 oz | 0.38 lbs 3.54 g | 0.12 oz | 0.01 lbs | 0.94 tsp | 0.31 tbsp 2.79 g | 0.1 oz | 0.01 lbs | 0.5 tsp | 0.17 tbsp 54.5 g | 1.92 oz | 0.12 lbs | 12 tsp | 4 tbsp 1.99 g | 0.07 oz | 0 lbs | 0.5 tsp | 0.17 tbsp 41.75 g | 1.47 oz | 0.09 lbs | 12 tsp | 4 tbsp 525.63 g | 18.54 oz | 1.16 lbs | TF = 0.11572
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Once I established the above thickness factor for the recipe (0.11572), I then simply used that value in the deep-dish dough calculating tool together with your square 8" x 8" pan data (using the "Rectangular" pan option). As with the 12" round pizza example, I assumed that the dough would be pushed up the sides of your 8" x 8" pan by 1 1/2". With these changes, the deep-dish dough calculating tool produced the following:
Gold Medal All-Purpose Flour (100%): Water (70.6600%): ADY (1.43617%): Salt (1.13099%): Vegetable (Soybean) Oil (22.0873%): Sugar (0.80785%): Semolina (16.9199%): Total (213.04221%):
| 164.15 g | 5.79 oz | 0.36 lbs 115.99 g | 4.09 oz | 0.26 lbs 2.36 g | 0.08 oz | 0.01 lbs | 0.62 tsp | 0.21 tbsp 1.86 g | 0.07 oz | 0 lbs | 0.33 tsp | 0.11 tbsp 36.26 g | 1.28 oz | 0.08 lbs | 7.98 tsp | 2.66 tbsp 1.33 g | 0.05 oz | 0 lbs | 0.33 tsp | 0.11 tbsp 27.77 g | 0.98 oz | 0.06 lbs | 7.98 tsp | 2.66 tbsp 349.72 g | 12.34 oz | 0.77 lbs | TF = 0.118613
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As a final step, I decided to modify the above dough formulation to take into account minor dough losses during the preparation of the dough. In this case, since the dough is intended to be kneaded by hand, I used a bowl residue compensation value of 2.5% in the deep-dish dough calculating tool to compensate for such losses. If a stand mixer were used, I would use 1.5% instead. So, the final dough formulation for your 8" x 8" pan becomes:
Tony's 8" x 8" Deep-Dish Dough FormulationGold Medal All-Purpose Flour (100%): Water (70.6600%): ADY (1.43617%): Salt (1.13099%): Vegetable (Soybean) Oil (22.0873%): Sugar (0.80785%): Semolina (16.9199%): Total (213.04221%):
| 164.15 g | 5.79 oz | 0.36 lbs 115.99 g | 4.09 oz | 0.26 lbs 2.36 g | 0.08 oz | 0.01 lbs | 0.62 tsp | 0.21 tbsp 1.86 g | 0.07 oz | 0 lbs | 0.33 tsp | 0.11 tbsp 36.26 g | 1.28 oz | 0.08 lbs | 7.98 tsp | 2.66 tbsp 1.33 g | 0.05 oz | 0 lbs | 0.33 tsp | 0.11 tbsp 27.77 g | 0.98 oz | 0.06 lbs | 7.98 tsp | 2.66 tbsp 349.72 g | 12.34 oz | 0.77 lbs | TF = 0.118613
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Note: Nominal thickness factor = 0.11572; bowl residue compensation = 2.5%
As a final comment, you shouldn't be alarmed by what appears to be a very high hydration (70.77%) for the above dough formulation. If you add the weights of both the flour and the semolina, which is also hydrated, then the effective total hydration becomes 60.44%.
I don't know how well the above dough formulation will meet your needs, but I think you can see that it is all in the numbers. As you conduct your experiments, you should, of course, feel free to use the deep-dish dough calculating tool to change the numbers to achieve whatever objective you have in mind with respect to the dough formulations set forth above.
Good luck. Please keep as advised as to your progress.
Peter