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When it starts to go spiraled and rough it may be do it insufficient cooling between layers.
When printing small diameter objects a layer may not have sufficient time to cool and harden before the next layer is printed. Thus you get a melted "ice cream cone" effect.

One easy trick is to print two of the same objects a bit apart so one has a chance to cool as it prints the other.
For a larger model you can try adding a simple column the same height as your print.
I have also have heard of people making the skirt be the same height as the model. (Also a trick to help block drafts from the main print.)