That's actually really odd for rain water. It's usually a bit more acidic.
You
can more easily mess with the pH of rainwater, however, since it doesn't have the
buffer layer that tapwater with a high pH usually has (I'm in the same boat, and am thinking the same way). If you collected rainwater in a barrel and kept a pillowcase full of peat moss in it, you'd be able to lower the pH significantly. Then you could mix it with tapwater to get the desired pH prior to adding it to your tank.
It's likely that, whatever your water source, the same stuff that's in your rain is in your drinking water (scary thought, neh?). Aquifers (with your pH, I'm guessing this is where your municipal water comes from) are refilled by rainwater seeping through the ground. The ground can filter the water to some extent, but the toxins slowly leach down until they reach the aquifer. Reservoirs are, of course, filled by rain water. Water drawn off of a river, ultimately, comes from rain water, etc...
The biggest issue with doing things this way is that you need to make sure that, once you get your pH to the level you want it at (and do that slowly, mind, or it will be bad for the fish), you need to make sure that the water you add is always the exact same pH. If your source of rainwater runs out (don't know what winters are like where you live, but I'd have to melt snow to get "rainwater" for four to five months of the year), you've got to use distilled or
RO water to maintain your pH.