If you don't have test equipment, look for a wall wart that has an AC output. Pretty easy to find. Just cut off the end and attach alligator clips to the leads.
Measure that with the AC voltage measurement on a multimeter to see what your test voltage will be (V_test).
Then put that on different terminals, and measure the other terminals with the multimeter.
For instance, if the primary were 1&2 and the secondary were 3&6, say you apply the AC test voltage to 1&2 (V_test) and measure the voltage on 3&6 (V_measure), you can get the turns ratio as V_test/V_measure.
If it were a 10:1 transformer, and your V_test=9v, the V_measure would be 0.9v.
Depending on what pins you hook up you may get strange or misleading results. Best to find the windings that have continuity with DC ohms, then impedances with AC volts.
If you want to know the impedances, the (turns ratio)^2 = Z_primary/Z_secondary
i.e. for a 10:1 transformer, the impedance would be 60k:600 (which assumes the secondary is 600 ohms).
A small signal transformer is most likely either an audio input or an audio output and they can both have multiple taps. Look at the RCA BA-2 schematic to see what the taps *might* look like for an input & output transformer. The transformer numbers are labeled on that schematic and you see they have the same 901xxx-501 format.