Hi Adam Garrison,
Yes, the LPC1778 XTAL1 and XTAL2 pin max voltage is 1.95V.
Actually, as I know, a lot of the generator tool can adjust the output clock amplitude, I have used the GRATTEN DDS function generator before, it can adjust the amplitude.
If you add the cap to get the amplitude down, did you also check the frequency? Is it still meet your demand, you can check it with the oscilloscope, make sure the clock is meet the LPC1778 datasheet's demand.
Wish it helps you!
Have a great day,
Kerry
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