Use dish detergent to soften your soil- 1-2 drops per square foot. There is about 120 drops in a teaspoon, which would cover 120 sq feet at
1 drop/sq ft.
It doesnt make any difference how much water is mixed with the detergent. Its easiest to use a hose end sprayer. Apply at least days before digging or tilling.
A bucket or watering can is fine for small areas.
At an experiimental garden with Illinois clay, I compared Palmolive clear and Johnsons baby shampoo - The dish detergent was best - and surprise. it softened the soil for the whole season!! A professor had meter that read softness.
Its hard to find clear, but the amount is so small that I dont think the dyes in their gaudy colors would hurt - Its made so we can eat it!!!