No!
Correct, to run 480 primary, you connect H2 and H3. If you are going to run a 230 primary you'd connect H1 to H2 and H3 to H4.

Similarly, if you want the secondary at 240, you connect X2 and X3.
If you want 120, you connect X1 to X2, and X3 to X4.

I think that Doug has it correct.

It should all be on the nameplate of the transformer.

Many even have tables of what connections for input and output combinations he transformer can provide/accept.

He has the primary correct, he needs to do the secondary as I stated.

I think Ronnatalie is right - I'll wirenut my Hot to both X1/X2 wires and my Nuetral to wires labelled X3/X4.

Found a square D site showing 3 different ways to wire the secondaries. X1/X2 --- X3/X4 gave just 120. X1-- X2/X3----X4 gave 240 between X1 and X4, but you could also get 120 between X1 and X2/X3 and 120 between X2/X3 and X4.

A little confusing for the novice.

Here is a link that might be useful: Square D site

The implication in the initial post is that the supply (primary) voltage in this application is 480, one phase of a 480/277 WYE three phase, right? And the desired secondary voltage is 120, right?

This sounds a lot like a commercial application, and only licensed electricians are allowed to do commercial work.

Incoming power to my shop is 480/277 three phase, but I needed 120VAC single phase for a small control panel I added. So I took 2 of the 3 legs to supply the 480 to the little transformer (run through a fuse block to protect the transformer). I'm in the country and there are no inspectors or electricians other than me.

Thanks to Ronnatalie.

don't forget a fuse/ circuit breaker on the output of the TX.

please measure the voltage before using just to make sure it what you want.

are you running the setup isolated? or grounded?

-dkenny