Extend the new joists 2inches beneath the unique joists. The following methods are applicable to soundproof your ceiling effectively. But they have to be combined in different setups for a useful result.
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But in this case an even more important rule is that fiberglass must have an infiltration barrier — open face fiberglass is nearly useless. Which means, like as not, the paper aspect of the batts in all probability should have gone to the roof aspect, not the attic side. Except, when it was insulated, that would not have “looked” proper to the installer. Bill & I were talking of the Building Sciences recommendations, which name areas by their climates, and recommend building methods accordingly. They are very sensitve to moisture & the means it impacts building (possibly too much, however that is a separate debate).