In the ruby-gem I realized it in a different way. 
If you populated a time-grid correctly, you got exact one object per 
time-frame (ie. one per day). The days are connected via nodes.
Thus - if you count the time-frames (days) between start and end of your 
time-range, you know the count of nodes to traverse.

This is the ruby-method to get these elements:

85   def environment previous_items = 10, next_items = nil
86     next_items =  previous_items  if next_items.nil?  # default : 
symmetric fetching
87 
88     my_query =  -> (count) { dir =  count <0 ? 'in' : 'out';   db.execute 
{  "select from ( traverse   #{dir}(\"grid_of\") from #{rrid} while $depth 
<= #{count.abs}) where $depth >=1 " } }  # don't fetch self
89 
90    prev_result = previous_items.zero? ?  []  :  my_query[ -previous_items 
]
91    next_result = next_items.zero? ?  []  : my_query[ next_items ]
92 
93     prev_result.reverse  << self | next_result
94   end


>From the documentation:

>  Get the nearest horizontal neighbors
>  
>  Takes one or two parameters. 
>   
>   (TG::TimeBase.instance).environment: count_of_previous_nodes, 
> count_of_future_nodes
>  
>  Default: return the previous and next 10 items
>   
>   "22.4.1967".to_tg.environment.datum
>    => ["12.4.1967", "13.4.1967", "14.4.1967", "15.4.1967", "16.4.1967", 
> "17.4.1967", "18.4.1967", "19.4.1967",     …"20.4.1967", "21.4.1967", 
> "22.4.1967", "23.4.1967", "24.4.1967", "25.4.1967", "26.4.1967", 
> "27.4.1967", "28.4.     …1967", "29.4.1967", "30.4.1967", "1.5.1967", 
> "2.5.1967"]
>  


I am sure you can easily adapt to java 

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