2016 TPMS Comes On every 3 - 5 days

What is your question?

Purchased a new 2016 Honda Fit EX and the TPMS light came on 3 days (about the same temp as the day we bought the car). So we took the car in and asked them to check it out and to also check the accuracy of my tire pressure gauge (I thought I might be needing it). They adjusted the pressure in the tires. They said it was wrong (I thought that part of the delivery charge was to check that sort of thing, maybe not). So any way 4 days later the light came on again but it was a long holiday weekend when they opened in 3 days we took it in. They said it was due to the temperature change. We have had the car at service with the TPMS light on 5 times in 6 weeks. Each time the dealer says that it is because of the temperature change. Is that true? We live in Indiana. Here is the temperature range and the maximum and minimum tire pressures (by the way we were not driving while at minimum temperature because that was in the middle of the night) for those days. Min Max 21 - 30 (mean 26) sat 19 (Tires filled with temp at near 30 degrees) 22 = 48 41 - 52 44 - 53 tues 37 - 64 Wed 36 - 56 Thurs (Light came on with the temp around 40) P2 = (P1*T2)/T1 30F = 272 Kelvin 22F = 267 Kelvin 64F = 291 Kelvin Assume tires filled to 34PSI at 30 degree the range of pressures would be: at 22F: = 33 * 267 / 272 == 32.4 at 53F: = 33 * 290.9 / 272 == 35.2 (Pressure range of 2.8 PSI) So a minimum pressure of 32.4 (optimum 33 front). A maximum pressure of 35.2. So within 2.2 pounds and the light trips.... NOTE this is the worst temp variation. So is this correct or is there a problem? What should I say to the dealer. Is there a leak. Should I take the tires somewhere else to have them checked. The car is now 7 weeks old.