Exeter-born Liam Sercombe scored his first goal of the season to give the Grecians a half-time lead, but Joe Lennox salvaged a point for the Pilgrims 16 minutes from time with his first goal in professional football.
However, Exeter were left cursing a bad miss by 15-goal top scorer Jamie Cureton just after half-time which would have given City a 2-0 lead.
"It was a very scrappy and even game and I'm sure they will feel they put us under enough pressure in the second half to have got something from the game," Tisdale said.
"I believe that we had the clearer of the chances and I'd like to think we'd have scored more than once with those chances.
"It is what it is. It's a point and we are disappointed having lost the lead, but it is still a draw.
"Argyle were a goal down and had nothing to lose, so they were always going to give it a go. We had a chance to go 2-0 up and didn't take it and when you defend for long enough, something is bound to happen, as it did here.
"I am not going to ask Jamie about his chances because I'm sure he'll be disappointed. Nor am I going to use it as a stick to beat him with.
"He has scored more than enough goals for us already, but you don't play for as long in the game as he has by dwelling on those things for too long.
"I am pleased for Liam to score, he needs to score for us and he has been due a goal. That will do him no harm."
- Sports & Recreation
- Jamie Cureton