<p>Heteronuclear correlation (HETCOR) spectroscopy is one of the key tools in the arsenal of the solid-state NMR spectroscopist to probe spatial proximity between two different nuclei and enhance spectral resolution. Dipolar heteronuclear multiple-quantum coherence (D-HMQC) is a powerful technique that can be potentially utilized to obtain <sup>1</sup>H detected 2D HETCOR solid-state NMR spectra of any NMR active nucleus. A long-standing problem in <sup>1</sup>H detected D-HMQC solid-state NMR experiments is the presence of <i>t</i><sub>1</sub>-noise which reduces sensitivity and impedes spectral interpretation. In this contribution, we describe novel pulse sequences, termed <i>t</i><sub>1</sub>-noise eliminated (TONE) D-HMQC, that suppress <i>t</i><sub>1</sub>-noise and can provide higher sensitivity and resolution than conventional D-HMQC. Monte-Carlo and numerical simulations confirm that <i>t</i><sub>1</sub>-noise in conventional D-HMQC primarily occurs because random MAS frequency fluctuations cause variations in the NMR signal amplitude from scan to scan, leading to imperfect cancellation of uncorrelated signals by phase cycling. The TONE D-HMQC sequence uses <sup>1</sup>H p-pulses to refocus the evolution of <sup>1</sup>H CSA across each recoupling block, improving the stability of the pulse sequence to random MAS frequency fluctuations. The <sup>1</sup>H refocusing pulses also restore the orthogonality of in-phase and anti-phase magnetization for all crystallite orientations, enabling the use of 90° flip-back or LG spin-lock trim pulses to reduce the intensity of uncorrelated signals. We demonstrate the application of these methods to acquire detected 2D <sup>1</sup>H-<sup>35</sup>Cl and <sup>1</sup>H-<sup>13</sup>C HETCOR spectra of histidine•HCl•H<sub>2</sub>O with reduced <i>t</i><sub>1</sub>-noise. To show generality, we also apply these methods to obtain 2D <sup>1</sup>H-<sup>17</sup>O spectra of 20%-<sup>17</sup>O fmoc-alanine and for the first time at natural abundance, 2D <sup>1</sup>H-<sup>25</sup>Mg HETCOR spectra of magnesium hydroxide. The TONE D-HMQC sequences are also used to probe <sup>1</sup>H-<sup>25</sup>Mg and <sup>1</sup>H-<sup>27</sup>Al proximities in Mg-Al layered double hydroxides and confirm the even mixing of Mg and Al in these materials.</p>