Autocorrelation nearly perfectly predicts perceived residue pitch across a range of tone series.

Evidence

As c is increased, the appropriate integers Ni change, and are given at the top of the figure. The pitch obtained by autocorrelation (either by numerical peak finding, or from our simple formula 23.1—the results in this case differ by less than 1Hz over the whole range) are shown in red. It is seen that the autocorrelation gives an essentially perfect estimate of the perceived pitch. — Eric J. Heller, Why You Hear What You Hear- An…, 2083