You must be wondering why there are the needs of the naming system on the Balinese culture? The system is caused by the caste system which I have been posted in my previous post . The idea is to differentiate person caste based on their first name. And then would later will affect the language that we will use when we talk to them.
The late Ida Pedanda Made Gunung - one of the popular high priest in the modern era
Anak Agung Putu Jelantik - One of the King from Buleleng Kingdom int Northern Part of Bali
source
Waisya
In this caste they are usualy using Ngakan, Kompyang, Sang, or Si but ther names are almost gone and simply just using the naming from the Sudra caste as they were used to be a mix marriage from these caste.
Sudra
As the lowest caste in the Balinese system, the naming from the Sudra caste are simple, they are using I or NI man and woman respectively. Then it will followed by the sequence of birth in the family.
Its quite elaborate to think that there is a system for a name in Bali, but its the culture. Is there any naming system in you place?