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According to the book Royal Mughal Ladies and Their Contributions by Soma Mukherjee, "female officers of the harem were divided into three categories: the high (Mahin banu), the middle (Paristaran-i-hudur) and the low."
I will also mention two other titles I've come across. The Padash Begum was something like a queen. I'm not sure if she was considered to have role within the harem, but if so, she would presumably fall under the Mahin banu. There were also female guards in the harem of Tartar and other foreign ethnicities, known as urdubegis. I assume this was a low position.