...How might I manipulate the amount of water, yet still keep the same lye concentration?
...Can I just use the same amount of lye and add MORE water? How much water would I add before it became what people call 'full water'?
PenelopeJane has given you good advice. To add my 2 cents worth --
The weight of the fats, the kinds of fats (coconut, olive, etc.), and the superfat percentage are the things that fix the weight of NaOH.
If you change the fats, the NaOH weight will change.
If the fats stay the same, the NaOH weight stays the same.
Once you fix the superfat and the kinds and weights of the fats, you know the NaOH weight. Then you can adjust the amount of water.
Lye concentration (or water:lye ratio or "water as % of oils") is what changes the water amount. It does NOTHING else except to change the water.
If you change the amount of water, the lye concentration (or water:lye ratio or "water as % of oils") HAS to change.
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Full water does not have one widely-accepted meaning. This is why I really don't like to use it, as well as the related term "water discount".
PenelopeJane has provided her definition of full water -- 26% lye concentration. Well respected soap makers and widely used
soap calculators use these alternatives --
28% lye concentration
25% lye concentration (Modern Soap Making)
30% lye concentration (SummerBeeMeadow calc)
38% water as % of oils. This setting causes the lye concentration to range from about 25% to 33% depending on the fats in the recipe. (SoapCalc and others)
On SMF, I'd say the most commonly used definitions of "full water" are 28% lye concentration (a fair number of experienced soap makers) and 38% water as % of oils (almost everyone else).
Even if we stick to these two definitions, they don't remotely agree with each other. That makes "full water" and "water discount" meaningless.
So pick your poison, as they say.