What is the lowest end computer capable of running Mythbuntu if recording is only use

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http://ubuntuforums.org – I already have a Mythbuntu install, but my backend is used only for recording shows - there is no display of any kind attached to it. I am wondering if I could get by with a smaller/less power hungry computer. So I would like to get a handle on what kind of equipment is required to simply record programs. The source is a HDHomeRun Dual (only receives over the air signals) and I only need to be able to save the programs and then view them from frontends elsewhere on the network. I had thought about a Raspberry Pi but I don't know if it's powerful enough, and I'm also concerned that it migh (Hardware)