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The distance from eardrum to eardrum is the closest way through your head and depends on the person. It is 12 cm to 14 cm.

If you mean the sound path around the head from eardrum to eardrum it is between 17 cm to 22 cm. If you measure a maximum time difference of Δ t = 63 µm = 0.63 ms between the ears you get a distance of d = Δ t × c = 0.216 m = 21.6 cm. Speed of sound c = 343 m/s at 20°C.

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