Wiring for 1 phase 220 volt bandsaw
Our power into US houses is 240V single-phase, with a center tap.  The center tap is called neutral. This is called &quot;Split-phase&quot; since you can grab the outer &quot;phase&quot; wires (hot-hot) or grab one phase and neutral for half the voltage.
If you're wondering, this was Edison's idea when power was DC.
The plug you need on the saw is a NEMA 6-15.  It is literally in the drawing (you are seeing a side view).

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The socket you should install is a NEMA 6-15 or NEMA 6-20.  Note the family resemblance.

Due to an exception in NEC, you are allowed to plug 15A-plugged loads into either a 15A or 20A circuit.  Further, a 20A circuit is allowed to have 15A sockets on it (as long as there are 2 or more sockets, e.g. the above NEMA 6-15 will suffice).

If you cable this with /3 cable, simply cap off the neutral.
If you cable it with /2 cable, you MUST use tape etc. to re-mark the white wire to indicate that it is a hot.
If you use individual THHN wires, you MUST use a hot color (black brown red orange yellow pink blue purple) for the 2nd hot.  Both hots CAN be the same color, in fact, I recommend it. There's no useful purpose in distinguishing them from each other, but with up to 4 circuits allowed in conduit, you want to distinguish them from other circuits.

For instance suppose you have a 120V and two 240V circuits in a conduit.  The wire colors are blue white red red orange orange. Which ones are which? Easy. Orange-orange is a 240V circuit. Red-red is another.  What's left?