So I have this TVC as a preamp. It is a naturally balanced circuit. It wants to use those xlr outputs.
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Supposedly, after doing a little unorthodox interconnecting, there is an additional 6 db of gain. Maybe a lower noise floor. Who knows. If nothing is going to blow up, it would be fun to give it a try...
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The above implies that the secondary of the TVC has a center tap that is connected to signal ground. By moving the ground to the bottom of the secondary, rather than the center tap, leaving that unconnected, you would get that additional 6db gain.
You need to verify (or divine the actual) configuration. Use an ohmmeter. Measure the resistance between pin 3 of the input and pin 3 of the output XLRs (same channel). If the inputs to your TVC do the same measurement, but between the signal ground (outer shell of the input RCA, and Pin 3 of the same channel's output.
Measure the resistance between pin 1 & 3 of an output XLR. Measure the resistance between pin 2 & 3 of the output XLR.
Post your results. Those measurements will tell you how to configure your TVC for your application.
Hasn't anyone hereabouts heard that old adage applicable to both audiophiles as well as carpenters.
Measure twice, cut onceHeck, I'd settle for measuring once.
It seems that all the responders believe you TVC output is floating (unreferenced to ground), which would be quite unusual.
EDIT:Given the equipment, and a willingness to spend $10 at Radio Shack for the cheapest of multimeters, you'd have to work awfully hard to get ground loop hum.

FWIW,
Paul