Tinctures, [Control of Alcohol Level] Bjørn Larsen & D. Foley, IeInc. 1997.

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Here is the tincture text file.
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Equations:

1. To reduce the strength of an alcohol tincture:

        V[final] = V[initial] * P[initial] / P[final].

        nb: Dilute the tincture up to V[final] with pure water.


2. To increase the alcoholic strength of a tincture:

        V[2] = V[1] * (P[final]-P[1]) / (P[2]-P[final]).

        nb: Add V[2] to V[1].

            The final volume is the sum (V[1]+V[2]).