The only problem with rain water is that it lacks cal/mag. Rain water is for the most pretty pure but tap water has generally filtered through rocks and sediments containing amongst others cal/mag.
Unless your ferts are providing all the cal/mag, rainwater as with reverse osmosis water will need the cal/mag adding to it. Some rely on the heavy amounts of lime in their soil to provide the cal/mag and some add supplements.
I cannot get the variables right for you but can only hope that eventually each variable and nutrient is there in the right quantities. This is the kicker about pH, most ferts contain acid and alkaline elements and some of these are not available till the microherd or plant roots assimilate them. Our organic ferts have very misleading pH's because only after they have been added to the soil and broken down do they finally release their nutrient value and change the pH significantly.
I like my water to be slightly alkaline, that way it helps stop my soil becoming acidic and means not having to pH ferts. People say PH but it is never that simple, youd be amazed to learn that Nitrogen comes in two forms, one acidic and one alkaline, nitrate and ammoniacal. Phosphorous and Potassium are very similar too in that one is acidic and one is alkaline. PK13/14 is called so because the Phosphorous and Pottassium are meant to balance each other out in some form leaving a more neutral solution. Even this is not straight forward unfortunatly. Dont get too hung up on PH, if you find you reach acidic soil levels either stop adding way too much ferts or powdered/fine grade lime in the soil.