Questions about nested intervals. Help me please!!!

I'm an italian student of computer science and I'm trying to do an
implementation of nested intervals with continued fractions.
>>From how much I have understood continued fractions are only a way in
order to pass from an encoding (example Farey encoding) to materialized
path.
My objective is that one to implement hierarchical structures in the
more efficient way and and to allow operation of insert,delete and move
of nodes.
Which is the best encoding applicable to nested intervals? Already
exists an implementation of this encoding?
With Farey encoding how I can use continued fractions?

Thanks for the attention

.

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