How to bridge an LM3886 with an input transformer

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I have 4 channels of LM3886 and a pair of Lundahl LL1545a to bridge them and need some help clarifying grounding. If I want a 1:1 for balanced (or unbalanced) in and balanced out, I can do something like in this picture. I end up with a center tap on either side that are floating--do I need to ground that on the secondary side? In the picture I only have the shields grounded.
 

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Nope . My basic electronic skills tells that a voltage is developed where there is a different potential of negative charged elements -the electrons- that flow through the conductive materials . ground is universally chosen to be 0 V.
In this very particular application you need to rotate by 180° the phase of it ,so you'll need to FIX a reference point to which relate the change of phase.
 
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