© 2019. The American Astronomical Society. All rights reserved. The torsional Raman spectra of two astrophysically detected isotopologues of dimethyl ether (DME, 12 CH 3 O 12 CH 3 and 13 CH 3 O 12 CH 3 ) have been recorded at room temperature and cooled in a supersonic jet and interpreted with the help of highly correlated ab initio calculations. DME displays excited torsional and vibrational levels at low energy that can be populated at the temperatures of the star-forming regions, obliging to extend the analysis of the rotational spectrum over the ground state. Its spectrum in the THz region is rather complex due to the coupling of the torsional overtones 2? 11 and 2? 15 with the COC-bending mode and the presence of many hot bands. The torsional overtones are set here at 2? 11 = 385.2 cm -1 and 2? 15 = 482.0 cm -1 for 12 CH 3 O 12 CH 3 and 2? 11 = 385.0 cm -1 and 2? 15 = 481.1 cm -1 for 13 CH 3 O 12 CH 3 . The new assignment of 2? 11 is downshifted around ?10 cm -1 with respect to the literature. All the other (hot) bands have been reassigned consistently. In addition, the infrared-forbidden torsional fundamental band ? 11 is observed here at 197.8 cm -1 . The new spectral characterization in the THz region reported here provides improved values of the Hamiltonian parameters to be used in the analysis of the rotational spectra of DME isotopologues for further astrophysical detections.