I was another drafted conscientious objector, but during the Korean "Conflict". We sang a lot of Jodi. I don't know how much I can remember, but I can say that there were 2 tunes (chant styles?). One style was done in the movie "Battleground" and was recorded as "Sound Off".

That one had verses like:

I don't know but I believe, I'll be home by Christmas Eve.

I don't know but I been told North Korea's mighty cold.

Raise your head and learn this song Our CO's a real ding dong.

Each followed by:

(call) Sound off, (answer) One two (call) Sound off! (answer) three four (call) Cadence count. (answer) One two three four...one two...three four!

If the other call style was given, the answer rhythm was different:

You had a good home but you left! (answer) You're RIGHT! You wanna' go back, but you can't (answer) You're RIGHT! Jodi was there when you left! (answer) You're RIGHT!

(call) You ain't callin' home, Jodi's on the phone, He's got your wife an' shack, He's got your Cadillac.

(answer) One two three four...one two three four...one two!...three four!.