Scalar couplings give rise to peak splitting in nuclear magnetic resonance (NMR) spectra. Couplings between atoms that span a rotatable bond report on the rotation angle of the bond. Here, we describe a new computational method that can be used to analyze complex patterns of peak splitting. In addition to showing new ways of visualizing and analyzing the underlying data, we uncover how isolated parts of proteins behave differently than when they are embedded in a folded protein.