You could always grab a short cable and move the player to directly under the projector, see if the two components can work properly in that arrangement. If they can, it confirms that the cable is the problem. As Xenon points out, the problem isn't the "version" of the cable so much as the "speed" (bandwidth, sort of). If the cable is the problem, I would also recommend talking to Blue Jeans about a new cable - they are very honest about the best, most economical solutions for problematic HDMI cabling runs.
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gonk
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