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OK, I see where you got your figure. And it does depend on how the calibration is done. Theoretically you could do even better by projecting over the discontinuities when the 500 Hz tone is interrupted and form an averaging period much longer than 45 seconds. That assumes that the 500 Hz is...
I don't know where you came up with the figure of 0.01 Hz. Given that the tones are present for 45 seconds, and assuming that with a good signal the phase of the audio tone can be detected to within 10 degrees of a cycle, that is 22500 cycles at 500 Hz, plus or minus 1/36 of a cycle. That...
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