I am writing to apologize for the unwanted volume of noise I have been making in the past few weeks. I understand that this has been a source of stress and disruption for you, and I am truly sorry for that.
I want to explain why this has been happening. I recently moved into a new apartment and, as I am sure you know, the walls are very thin. I was unaware of this when I moved in, and I have been trying to get used to the sound levels of my new home. I have been trying to adjust my behavior accordingly, but I understand that I have not been successful in doing so.
I want to assure you that I am taking steps to reduce the noise levels. I am in the process of purchasing noise-cancelling headphones and other noise-reducing items for my apartment. I am also working on developing better habits for when I am in my apartment, such as turning down the volume on my music and television, and avoiding loud conversations.
I understand that this has been a difficult time for you, and I want to apologize for any inconvenience I may have caused. I am committed to making sure that this does not happen again. I am confident that with the steps I am taking, I will be able to reduce the noise levels in my apartment and be a better neighbor.
Once again, I apologize for the disruption I have caused and I will do my best to make sure it does not happen again.