A new ro-vibrational line list for the ground electronic state of the main isotopologue of acetylene, 12 C 2 H 2 , is computed as part of the ExoMol project. The aCeTY line list covers the transition wavenumbers up to 10 000 cm −1 (λ > 1 µm), with lower and upper energy levels up to 12 000 cm −1 and 22 000 cm −1 considered, respectively. The calculations are performed up to a maximum value for the vibrational angular momentum, K max = L max = 16, and maximum rotational angular momentum, J = 99. Higher values of J were not within the specified wavenumber window. The aCeTY line list is considered to be complete up to 2200 K, making it suitable for use in characterising high-temperature exoplanet or cool stellar atmospheres. Einstein-A coefficients, which can directly be used to calculate intensities at a particular temperature, are computed for 4.3 billion (4 347 381 911) transitions between 5 million (5 160 803) energy levels. We make comparisons against other available data for 12 C 2 H 2 , and demonstrate this to be the most complete line list available. The line list is available in electronic form from the online CDS and ExoMol databases.