on tuesday night vs at tuesday night

Some examples from the web:

• We know where you were on Tuesday night.
• A neighbour heard his buzzer around nine on Tuesday night.
• Look, I can prove that I was nowhere near Boston-Edison on Tuesday night.
• Madam President, on Tuesday night in this House I made my position clear in a speech on BSE.
• Except that Ian was out on Tuesday night and lied about his alibi.
• She had a severe stroke on Tuesday night.
• You usually do not come in on Tuesday night.
• We need to know where he was on Tuesday night.
• We traced texts to and from Kristin to your number on Tuesday night.
• Robin said that you were out shooting photos on Tuesday night.
• Look, I was with him on Tuesday night till about 12:00.
• We're trying to trace the movements of Marina Hartner on Tuesday night before she was murdered.
• A couple of people think they saw him on Tuesday night, but no one's really sure.
• So we have to ask, where were you on Tuesday night?
• CCTV in the pub Ben was in on Tuesday night and the girl behind the bar both confirm his account from 9:15pm until 12:30am.
• That I'm off on Tuesday night, and I was thinking...
• I don't know what you did on Tuesday night,
• Mr President, the full report on Tuesday night's sitting, which I only received yesterday, included my speech on the oral question on Alzheimer's disease.
• Nowadays, everything interconnected so much that all you have to do is pick up your laptop and see what's going on Tuesday night at that tiny club in Portland, Maine.
• I mean, why are we thinking this happened on Tuesday night?

Some examples from the web:

• No, you told me to call everybody at the Tuesday night meeting, and don't forget the nuts.
• We know you talked to her at the hotel Tuesday night.
• Every Tuesday night at the Continental Club.
• We talked about Martin Luther King at the Tequila Hut Tuesday night.
• There is hope, however, 'cause he's taken to seeing a therapist every Tuesday night at 7:00.
• That's what Louis and I do - every Tuesday night at 9:00.
• In fact, you talked to him quite a bit last week, including Tuesday night at 8:41.
• In fact, you talked to him quite a bit last week, including Tuesday night at 8:41.
• I am delighted that we have been given another rare opportunity to discuss this matter in the morning, rather than at 11 o'clock on Tuesday night.
• Could she have been at the observatory on Tuesday night?
• Nowadays, everything interconnected so much that all you have to do is pick up your laptop and see what's going on Tuesday night at that tiny club in Portland, Maine.
• Since we come in every Tuesday night at 6:00 and order the same exact thing, and it's now 6:08,
• I mean, who's going to keep you warm at night on Tuesdays and alternating Saturdays?
• My grandmother actually plays bingo every Tuesday night.
• Every Tuesday night and Sunday after church.
• Paul's mum said both boys were in all night Tuesday night.
• Just one night a week... Tuesday nights.
• Tuesday nights are now naughty knitting nights.
• You were pulled over Tuesday night driving a stolen car.
• Except that Ian was out on Tuesday night and lied about his alibi.