I am attempting to use an oscilloscope with 2 Giga-samples per second to tune my 32.768KHz real time clock and ensure it is within +/-20ppm. The clock signal is buffered through a GPIO by using the PMUX register. The crystal is an EPSON MC-306; one of the recommended crystals from the TI wiki.
The problem is that every clock period seems to different. Some clock period are 30.507us and others are 30.523us. The crystal should have +/-20 ppm accuracy. The period should be between 30.5182us and 30.05170us I can't observe this accuracy because the periods vary too much.
Is it normal for clock periods to vary so much? If so, what tools should be used to observe the frequency?