Yes, the repetitiveness calms me down from meltdowns and can prevent me from having them. I often have to do it to block out other people on public transport or when walking through crowds and or if I am going into a new situation on my own. All songs have a repetitive threshold for me, some I can only listen to a couple of times and these will not be songs that calm me down - the songs that I am able to repeat I will have listened to several times an hour or day for several years and they still have wear in them yet.
I also have fixations on parts of songs and will continually scroll them back to hear the same couple of bars played out.