Agree with everything that's been said. If your tap pH is significantly higher than the the tank then your weekly water changes may just not be big enough and/or the gravel cleaning not deep and thorough enough. Good deep gravel cleaning and 50% weekly water changes can often keep a tank steady even if the KH is zero or one.
If you've already been doing this kind of weekly maintenance then, as said, it would benefit you to get a KH kit (or a KH/GH combined kit, as knowing the GH is also interesting, though not an action item like KH is.) With a KH kit you typically take a 5ml tank water sample and then begin to slowly drip the test reagent drops in, counting each drop carefully as you go. If your KH was 6 then the water would turn a certain color, such as blue, and then on the sixth drop it would suddenly change to another color, such as yellow. This indicates that the carbonate hardness (the KH) is six German degrees of hardness.
Water that has almost no carbonate hardness would turn yellow on the very first or second drop. drobbyb and I have written an article about this recently. Just find a recent post by drobbyb and I believe he has a link in his signature area to it.
~~waterdrop~~