Homonuclear cross-polarization using the nth frame average Hamiltonian (12) is compared to the complete Schrödinger dynamics in the original frame, for various chemical shift offsets. JIS = 35 Hz, the initial density matrix is ρ(0) = Iy, and we plot the in-phase transfered magnetization 2tr(Syρ(t)). The average power is 3.5 kHz. Crucially, the magnetization is in-phase along the y-axis precisely at integer multiples of time T when the y-axes of all frames are aligned. Chemical shift offsets in the original frame of reference are ωI = 1 kHz and ωS = −1 kHz (upper), ωS = −2 kHz (middle), and ωS = −3 kHz (lower)