There are many articles on the subject of reef tank chemistry and I won't delve into that for it would take a book or many books for that matter(all of which are great reads and will be beneficial to your tank, they are a great place to start when getting into the hobby). I will go as far as saying between 8.5 and 9.5 IS NOT stable. Stable would IMO be within a tenth of a point in either direction from a baseline number. What would be a good baseline number you ask? If your doing regular water changes to your tank(which WILL help with overall coloration and health) I would suggest your baseline alkalinity be at or very near the alkalinity figure for your water change source(whether you mix your own seawater or purchase it from your lfs etc.). IMO chalices can be just as finicky as sps when it comes to alk swings.