FX FX 380mm barrel...... much louder?

Hello , I would like to put a 380mm barrel on my FX Crown , instead of the 500mm installed. I wonder how the noise will be increased ; is it a big difference between the 380mm and the 500mm in .30 cal , shooting at the same power. At the same time I think that the shorter barrel must be stiffer and could support a heavier moderator ?
Thanks.