The Edision works fine when connected to a couple of different TVs, but still crashes if I try to select 1080p. Refresh rate is set to 60Hz. That said, I had no plan to use 1080p -- selecting that mode was strictly for testing purposes. 1080i/59.94 is my preferred setting.
As for the Blackmagic device, these are the supported resolutions. It will inhale most anything:
525i59.94 NTSC, 625i50 PAL
720p50, 720p59.94, 720p60
1080i50, 1080i59.94, 1080i60
1080p23.98, 1080p24, 1080p25, 1080p29.97, 1080p30, 1080p50, 1080p59.94, 1080p60, 1080PsF23.98, 1080PsF24, 1080PsF25, 1080PsF29.97, 1080PsF30
2Kp23.98 DCI, 2Kp24 DCI, 2Kp25 DCI, 2Kp29.97 DCI, 2Kp30 DCI
2160p23.98, 2160p24, 2160p25, 2160p29.97, 2160p30