I have a 3110 Merit mod trans. It's also 60 watts.
I think it is a 60 Watt multi-match version of mine.
I'm just guessing here, but it probably has two primary windings and two secondary windings.
Both of these have a tap.
So that would add up to 3 times 4 or twelve pins.
So, a good guess would be:
Pins 1 and 3 are one winding of the primary with pin 2 as a tap.
Pins 4 and 6 are a second winding of the primary with pin 5 as a tap.
Simlar for pins 7 through 12 -- the two secondary windings.
It's possible pin 4 goes with the first primary winding and pin 3 with the second.
For some reason UTC does that on their audio trans -- just to confuse people I think.
When I say "primary" and "secondary" in the above disucssion I'm using the terms loosely since most multi-match transformers work either forward or backwards.
As for ratios, once you determine the windings with an Ohm meter you can determing the ratio by putting a low ac voltage from a filament transformer into one side and measuring the output.
The two secondary coils can be connected in series or parallel to get more options.
I'd operate with the above assumptions as a starting point and investigate from there.
Dave