heres the absolute way to do what your asking. However you are being officially naughty by doing so.
ADVC-HD50 HDMI to HDV converter, compact and bus-powered - SlashGear
This is a HDMI to HDV converter... woooo hooo. Only problem is it doesnt allow HDCP signals from cool stuff like PS3 and Blu Ray etc.
So what you do is you put a RageHD HDCP stripper in line before the HDMI cable so all signals after that are clean and clear and then this device will truly convert to HDV and you can record on your HDV tapes. However....
HDV is 1440x1080i not true 1900x1080... so there will be a minor loss in the anamorphic pixel size ratio. However HDV is a pretty stable and noise free recording medium. You should be ok.
I would like some reviews on the advc-hd50 conversion quality, but coming from broadcast pro's Grass Valley I expect it will be very good.