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We study the constant-roll tachyon inflation with large and small η. In previous studies, only the constant-roll tachyon inflation with small η is consistent with the observations. We find that the duality between the constant-roll tachyon inflation with large and small η may exist. The apparent duality suggests that the constant-roll tachyon inflationary model with large η may also be consistent with the observations. By fitting the spectral tilde n s and tensor to scalar ratio r, which is a measure of primordial gravitational waves with the observations, we get small and large η in this range − 0.01629 ≤ η H ≤ − 0.00079 and 3.00081 ≤ η H ≤ 3.01621 at the 2 σ C.L for N = 60 efolds. [ABSTRACT FROM AUTHOR]