Maintenance of a regular chromatin structure over the coding regions of genes occurs co-transcriptionally via the 'chromatin resetting' pathway. One of the central players in this pathway is the histone methyltransferase Set2. Here we show that the loss of Set2 in yeast, Saccharomyces cerevisiae, results in transcription initiation of antisense RNAs embedded within body of protein-coding genes. These RNAs are distinct from the previously identified non-coding RNAs and cover 11% of the yeast genome. These RNA species have been named Set2-repressed antisense transcripts (SRATs) since the co-transcriptional addition of the H3K36 methyl mark by Set2 over their start sites results in their suppression. Interestingly, loss of chromatin resetting factor Set2 or the subsequent production of SRATs does not affect the abundance of the sense transcripts. This difference in transcriptional outcomes of overlapping transcripts due to a strand-independent addition of H3K36 methylation is a key regulatory feature of interleaved transcriptomes.