Actually, if they're using broadband noise and have modeled the sound motion properly (using both time delay and sound level changes), you might be able to play. When the ball was to the deaf side of your head, you could take advantage of decreased energy in the high frequencies on the hearing side of your head to tell that the sound was off to the deaf side. Noise motion to the hearing side would be more difficult---you'd have to keep your head tilted just at the threshold of the sound being quieter. It would be more of a constant-loudness game instead of a constant-location game for you, and it would be much harder.
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Actually, if they're using broadband noise and have modeled the sound motion properly (using both time delay and sound level changes), you might be able to play. When the ball was to the deaf side of your head, you could take advantage of decreased energy in the high frequencies on the hearing side of your head to tell that the sound was off to the deaf side. Noise motion to the hearing side would be more difficult---you'd have to keep your head tilted just at the threshold of the sound being quieter. It would be more of a constant-loudness game instead of a constant-location game for you, and it would be much harder.