Richard,
Great post about the arrival time difference between our ears of a sound 15 degrees away from straight ahead. It really made me think about how sensitive our ears and brains are. I'm kind of surprised that I never thought about this. I wonder if this has something to do with components that soundstage and image very well. It could just be that the component processes or amplifies (whatever the component is doing whether it be an DAC or an amplifier) all frequencies and gets them to the output terminals in exactly the same amount of time. The component would also have to have the same exact, non-wavering processing time for the right and left channels.
I checked the math (twice) and got a time difference of 0.00008 seconds between the left and right ears, though, not 0.0000053 seconds as you calculated. I may have made the same error twice or maybe not. It still doesn't change the fact that the time difference is extremely small for a sound that is 15 degrees away from straight ahead.
For those who didn't do the math, at a distance of 4 meters, 15 degrees is equal to the sound source being about 1 meter away from straight ahead. 1 meter is a reasonable distance to use for this calculation. I think anyone could tell if something is straight ahead or 1 meter to the right with their eyes closed. We are probably capable of hearing even smaller changes in distance.
Great post about the arrival time difference between our ears of a sound 15 degrees away from straight ahead. It really made me think about how sensitive our ears and brains are. I'm kind of surprised that I never thought about this. I wonder if this has something to do with components that soundstage and image very well. It could just be that the component processes or amplifies (whatever the component is doing whether it be an DAC or an amplifier) all frequencies and gets them to the output terminals in exactly the same amount of time. The component would also have to have the same exact, non-wavering processing time for the right and left channels.
I checked the math (twice) and got a time difference of 0.00008 seconds between the left and right ears, though, not 0.0000053 seconds as you calculated. I may have made the same error twice or maybe not. It still doesn't change the fact that the time difference is extremely small for a sound that is 15 degrees away from straight ahead.
For those who didn't do the math, at a distance of 4 meters, 15 degrees is equal to the sound source being about 1 meter away from straight ahead. 1 meter is a reasonable distance to use for this calculation. I think anyone could tell if something is straight ahead or 1 meter to the right with their eyes closed. We are probably capable of hearing even smaller changes in distance.