Photoperiodic changes in diel cycles of gene expression are pervasive in plants. Timing of circadian regulators together with light signals regulate multiple photoperiod dependent responses such as growth, flowering or tuber formation. However, for most genes the importance of cyclic mRNA levels is less clear. We analyzed the diel transcriptome of modern cultivated potato, a highly heterozygous autotetraploid. Clonal propagation and limited meiosis have led to the accumulation of deleterious alleles and therefore tetraploid potato is an ideal model system to investigate the conservation of cyclic expression and cyclic genes during the artificial selection process. We observed that cyclic alleles were more highly expressed than non-cyclic ones and were highly co-expressed not only under diel cycles but also across tissues, developmental stages and stress conditions. Moreover, the smaller ratio of non-synonymous to synonymous differences within cyclic as compared to non-cyclic allelic groups indicates that cyclic genes, in general, have more conserved core functions than those of non-cyclic ones. In accordance with this observation, fully rhythmic allelic groups were highly enriched in photosynthesis and ribosome biogenesis genes, which play core functions in plants. Furthermore, we investigated differences in cyclic expression patterns between photoperiods. We identified transcription factors potentially regulating the strong differences in phase between photoperiods observed in ribosome biogenesis and pathogen response genes. Finally, analyses of genes involved in tuber formation suggests that the regulation of CO gene transcription is not the only factor enabling tuberization under long days in modern cultivated potato. This study not only provides high quality diel transcriptomic datasets of cultivated potato but also important insight on the role of allelic diversity in rhythmic expression in plants.