120 * 26.32 = 3156 12V across the pri gives 310V 155 0 155 on
the sec... 11V gives 286V 143 0 143
Looks like a 110V transformer.
Yes, I agree. But the output voltages appear to be labelled referenced to the zero center tap, and the total secondary winding is actually double the labelled numbers, as follows:
Apply 110 volts across 0 and L, the entire primary, and expect to get 1370 on each side of center tap. Total secondary voltage is 2740. Calculate 110 * 26.3 (lowest ratio) = 2893. Rated 2740 is based on I2R losses in transformer.
Next apply 110 volts across 0 and M, for the intermediate voltage. Expect to get the rated 2000 volts each side of center tap, or 4000 volts total secondary. Calculate 110 * 37.8 = 4158 total secondary, slightly higher than the rated 4000 volts because of transformer losses.
Finally, apply 110 volts across 0 and H, the shortest portion of the primary. Calculate 110 * 62.3 = 6853 unloaded volts. This is very close to the 3450 rating each side of center tap, total is double this, or 6900 volts.
So a possible application might be to use the entire primary, driven with a variac, to allow up to 2740 volts across the entire secondary, with a bridge rectifier to provide up to 3KV for use with 4-65 or 4-125 tubes, or use a center tapped full wave rectifier to obtain closer to 1200 - 1500 volts for 813, 811, etc. The transformer looks like it might function well for a final or a modulator, as long as the current drawn is moderate, and the duty cycle is intermittent.
Some resistance checks on the secondary would be helpful in estimating the voltage drop in the secondary, and the power lost in heating the transformer secondary. Also, some tests under a resistive load would help to determine the regulation expected, as well as transformer temperature rise over time. The absolute first test would be to apply 110 volts across the primary, (with or without the protective light bulb in series.) Let it run for a while, there should be no noticable hum, and no significant heating. If the transformer exhibits a loud hum or rapid heating, the transformer probably has some shorted turns and should go to the transformer graveyard in the sky.