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Both the beginning of measure and time signature are never being transmitted. Only a very very limited subset of MIDI messages is supported by the BeatBuddy currently, namely: Timing Clock (0xF8 or 248), Start (0xFA or 250), Continue (0xFB or 251) and Stop (0xFC or 252).
Please note: in the next firmware version this might change, but I have no information about what is currently being developed for the firmware.
