If you are inputting a 1080i video signal only to a projector will a DVI cable result in a better picture than a HDMI cable?

DVI and HDMI share the same signal format. DVI is found on computers and HDMI is the norm for domestic video equipment. There are some differences in capability but the only one that affects performance is the audio support. HDMI carries imbedded audio on the same cable. DVI does not support audio. It is perfectly acceptable to take a computer DVI output to an HDMI input on a display by using a DVI-HDMI cable. Most modern televisions even have an analog audio input that is linked to an HDMI input so that DVI sources can be used with a separate audio connection. Maximum lengths for DVI cables are normally quoted as a lower figure than for HDMI. The maximum length in fact is very dependent on the quality of the cable, the quality of the signal driver (the video source) and the receiver (the signal input). As the cable length gets longer, there is no loss of quality but once the maximum cable length is exceeded, the image will become broken up or will just not appear at all.