The Bluebirds dominated for long spells at the Weston Homes Stadium but failed to turn control into victory, continuing a run of just two wins in eight games as their grip on an automatic promotion place loosens.
Barry-Murphy acknowledged the issue bluntly after watching his side waste a host of opportunities.
“I felt as if we created enough chances today to win the game clearly, but we didn’t take them,” he said.
“We’re constantly working on our attacking play to create more clear-cut chances, in the wake of our recent performances where we’ve had really good domination with the ball but haven’t created enough chances for our liking.
“That element of our game was really good today, but the next bit is, obviously, to convert those chances.”
READ MORE: Brian Barry-Murphy Desperate for Cardiff City Pair to Return
Despite the dip, Cardiff remain second and still hold a seven-point cushion over third-placed Bradford, with a game in hand.
Barry-Murphy insists the bigger picture remains positive.
"We have to accept the results recently haven't been what we've wanted but our response has been to work incredibly hard.
"We're in a brilliant position. If you'd have given us this position at the start of the season, we would have been ecstatic.
"Not a lot of our players will have experienced this situation and we're trying to be as aggressive and assertive in chasing the games in what is an exciting situation."
READ MORE: Cardiff City Consider Appeal After Seven-Year Emiliano Sala Legal Battle is Lost
The match itself followed a now familiar pattern. Cardiff controlled possession, registered 29 shots and repeatedly tested goalkeeper Alex Bass, who denied Ryan Wintle and Perry Ng before the break.
They finally made the breakthrough early in the second half when Alex Robertson guided in a half-volley after Ollie Tanner’s cross caused problems in the box.
READ MORE: Cardiff City's Brian Barry-Murphy Counting Down the Goalless Days Until Yousef Salech Returns
Barry-Murphy felt that moment should have sparked more.
“We had an incredible backing here today and once we scored I was very confident we would kick on and create and score more goals.
“Peterborough always have a danger because of their front players who can break and score, and we saw that with the chances they created on the counter-attack.
“The goal they scored was pretty random and tough for us to take, but we bounced back from that with really good chances.”
Cardiff’s lead lasted barely a minute. James Dornelly won possession and released Harry Leonard, who kept his composure to finish past Nathan Trott and haul Peterborough level.
Cardiff pushed again, going close through Wintle—who struck the post and later forced a fine save—but their lack of precision in front of goal proved costly once more.
There was also a moment of controversy before half-time when David Turnbull escaped with a yellow card for a dangerous challenge that left Tom Lees with a deep cut.
Peterborough boss Luke Williams was unimpressed, saying: “I’d like to say there was no intent there, no malice, but it’s a huge cut – it’s halfway up his shin.
“It’s a big shame and it’s not nice to see, and of course we suffered because we don’t have another player like Tom Lees and I’m devastated for him because of the work he’s done to get back.
“I thought he was playing fantastically well, so it wasn’t nice.
“It’s so typical Tom Lees because they brought the stretcher on and he obviously said ‘that’s not for me, I’ll put my severed leg under my arm and walk off.’ He’s just double tough.
“Their goal was probably preventable, so it was a bit frustrating.
“I really, really enjoyed that [equalising so quickly]. That’s not easy and we’ve not done that as often as I would like, or as we would all like, but a brilliant response and it probably knocked the wind out of their sails a little bit.”
