The following site from the American Water Works Association and Rothberg, Tamburini & Winsor, Inc. have what appears to be a very good Langelier Index calculator.
http://www.awwa.org/Science/sun/docs...sivityCalc.cfm
From having visited other sites I understand the Ryznar Index is not that important in pools but has been pushed by some questionable sales people for their own benefit. The ideal index here is supposed to be 6.8. I personally have no deep knowledge of the Ryznar Index so I am unable to answer questions, but once again I stress it is not that important unless you have a stainless steel pool. Yes they exist, there is one not far from my house in Honolulu - rust capital of the world after the Red Sea.
Pool temperature and calcium content have a fair impact on the numbers. I believe that it is good to keep the Langelier index within + or -.30, with the PH ideally located at 7.5 (or 7.4 if you are trying to keep iron out as I have to), or at least between 7.4 and 7.6, and alkalinity in plaster pools near 100 and near 120 in vinyl, but I am sure that some would disagree with this statement.
There are as they say "Many ways to skin a bathing suit."
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