I should add that what lead me to trying to determine the TV's refresh rate is that I was wondering if it handed 24p content. Although 24p support isn't mentioned in the official specs, I've read that 120Hz panels are good for displaying 24p video because 120 is divisible by 24. In other words, each frame can be shown 5 times, so the 'judder' effect causes by frame 'pulldown' can be avoided.
I have a 'WDTV Live Streaming' media player box (connected via HDMI) which I use to play media files, and in its video output settings, you can either let it use the 'auto' settings (which I *think* it determines by polling whichever output device it's connected to, to find out which video modes it supports), or you can manually specify the video mode from a whole array of resolutions and refresh rates. One of the options is '1080p 24Hz', but when I set it to this format, the box displays a message saying "the connected TV does not support this resolution". It does, however, support 1080i/p @ 50/60Hz when I try setting those formats manually.
So am I right in assuming that 24p is not supported by my TV?