Should a tenor and baritone sax sound like one?

Question:

Should a tenor and baritone sax sound like one?

When tuning, starting with the first note of a concert b flat scale, and you have one tenor and one baritone sax playing together, should they sound like one sax?

I am asking because we had a substitute band director that spent forever trying to get me (a tenor sax player) to sound like one with our baritone sax player. He basically left it that I was out of tune and not very good at it. Then he went on to work with two altos and deemed them excellently in tune as they sounded like one. To me, it was duh- they're two altos, not a tenor and bari. Is this realistic to ask?

Best Answer - Chosen by Asker: First of all, the tenor and baritone are 2 differently pitched instruments, the tenor being a Bb instrument and the baritone being an Eb instrument so neither of you can play the same note unless in concert pitch. Other than that, you can both hit the same note but not in the same octave since playable registers are different for both instruments. Besides that, the only possible way for both of you to hit the same note would be for you to play extremely low while the bari plays extremely high, which poses another problem; reeds are known to sound notes out of tune when played in high registers. Other than that, I don't even think your teacher understands the differences between both instruments. Besides, your Bb sounds like an Eb on a Baritone!!!
Even if that wasn't the problem, your tuning note should've still been coming off a piano or an instrument higher pitched than yours, not an instrument that is lower than yours. He was better off tuning you with the altos.