Reuleaux Triangle of Happiness here in my kitchen.
But since I'm me, this meant things wouldn't go easily. First my 30-year old kitchen scale died and you should be aware that a scale is critical for this method. Well, it didn't die. The battery option went kaput and an overly aggressive and impatient baker shoved the optional external power source plug a tad too hard and pushed the male receiver port into the body of the scale.
Oops.
Okay, so the plastic was 30 years old and parts have atrophied. I'm twice as old with atrophied parts as well, so I really can't complain.
One hour, a bottle of Gorilla Super Glue, a teeny-tiny computer screw driver, an Allen wrench and a lot of swear words later, my scale was working again.
On to the math! The excellent links that desertculinary and GayR shared provided the key issue to address. I needed a 75% hydration rate (my recipe was a mere 45.5% when I looked at milk and flour only). I could have just increased the milk, but the article also addressed water found in other ingredients. My recipe for sweet bread/brioche/Schnecken dough had butter and eggs and sour cream, all of these include water, and the link provided those water percentage.
The math is straight-forward. You take the gram weight of each recipe ingredient that includes water (milk, butter, sour cream, eggs) and multiply it by its percentage of water.
Milk = 87% water
large egg = 74% water
Honey = 17% water
Butter = 16% (American)
Oil = 0%
My recipe WAS:
3/4 C milk = 170 grams x 0.87 = 148 grams of water
8 TBL butter = 112 grams x 0.16 = 18 grams of water
1 TBL Sour cream = 14 grams x 0.16 = 2 grams of water
1 egg = 50 grams x 0.74 = 37 grams of water
That equals 205 grams of water >> This was my old numerator
My 3 cups of flour = 438 grams >> denominator
Hydration rate divides the numerator (water) by the denominator (flour) for 46.8%, FAR below the 75% necessary for a lasting moist dough.
I wanted to increase my milk but not the other ingredients. That meant that the 57 grams of water from the butter, sour cream and egg was a constant and I needed to find a new quantity for milk. That variable became "X".
We've just moved into Algebra!!
(X + 57) / 438 = 75% goal for hydration
X = (0.75 x 438) - 57 = 271.5 grams of milk.
1 Cup of milk = 227 grams
1 TBL of milk = 14.2 grams
...so I needed to increase my 3/4 C of milk to 1 Cup plus 3 TBL of milk (~270 grams).
The link suggests a standard tangzhong slurry of 1/2 C milk with 3 TBL of flour PULLED from the weighed flour (not extra!) when a recipe calls for 3-4 cups of flour.
I cooked the slurry, smeared it on a dinner plate to cool quickly and added it to the bread machine with the liquid ingredients, then topped with flour and finally yeast. I'm down to 53 minutes left on the machine.
(to be continued)
But since I'm me, this meant things wouldn't go easily. First my 30-year old kitchen scale died and you should be aware that a scale is critical for this method. Well, it didn't die. The battery option went kaput and an overly aggressive and impatient baker shoved the optional external power source plug a tad too hard and pushed the male receiver port into the body of the scale.
Oops.
Okay, so the plastic was 30 years old and parts have atrophied. I'm twice as old with atrophied parts as well, so I really can't complain.
One hour, a bottle of Gorilla Super Glue, a teeny-tiny computer screw driver, an Allen wrench and a lot of swear words later, my scale was working again.
On to the math! The excellent links that desertculinary and GayR shared provided the key issue to address. I needed a 75% hydration rate (my recipe was a mere 45.5% when I looked at milk and flour only). I could have just increased the milk, but the article also addressed water found in other ingredients. My recipe for sweet bread/brioche/Schnecken dough had butter and eggs and sour cream, all of these include water, and the link provided those water percentage.
The math is straight-forward. You take the gram weight of each recipe ingredient that includes water (milk, butter, sour cream, eggs) and multiply it by its percentage of water.
Milk = 87% water
large egg = 74% water
Honey = 17% water
Butter = 16% (American)
Oil = 0%
My recipe WAS:
3/4 C milk = 170 grams x 0.87 = 148 grams of water
8 TBL butter = 112 grams x 0.16 = 18 grams of water
1 TBL Sour cream = 14 grams x 0.16 = 2 grams of water
1 egg = 50 grams x 0.74 = 37 grams of water
That equals 205 grams of water >> This was my old numerator
My 3 cups of flour = 438 grams >> denominator
Hydration rate divides the numerator (water) by the denominator (flour) for 46.8%, FAR below the 75% necessary for a lasting moist dough.
I wanted to increase my milk but not the other ingredients. That meant that the 57 grams of water from the butter, sour cream and egg was a constant and I needed to find a new quantity for milk. That variable became "X".
We've just moved into Algebra!!
(X + 57) / 438 = 75% goal for hydration
X = (0.75 x 438) - 57 = 271.5 grams of milk.
1 Cup of milk = 227 grams
1 TBL of milk = 14.2 grams
...so I needed to increase my 3/4 C of milk to 1 Cup plus 3 TBL of milk (~270 grams).
The link suggests a standard tangzhong slurry of 1/2 C milk with 3 TBL of flour PULLED from the weighed flour (not extra!) when a recipe calls for 3-4 cups of flour.
I cooked the slurry, smeared it on a dinner plate to cool quickly and added it to the bread machine with the liquid ingredients, then topped with flour and finally yeast. I'm down to 53 minutes left on the machine.
(to be continued)