The Ravenel spectra T(m) for non-negative integers m interpolate between the sphere spectrum and the Brown-Peterson spectrum. Let L2 denote the Bousfield-Ravenel localization functor with respect to v2−1 BP. In this paper, we determine the homotopy groups π∗(L2T(m) : ℤ/2) = [M2, L2T(m)]∗ for m > 1, where M2 denotes the modulo two Moore spectrum.