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sql server - How to find all the timestamp values interval by each minute between the two timestamp records

I have a table having three fields Id (Integer) - Unique, Open Date (Datetime), Close Date(DateTime):

Id  Open Date                  Close Date
1   2019-07-03 16:28:39.497    2019-07-04 16:28:39.497
2   2019-07-04 15:28:39.497    2019-07-05 19:28:39.497
…..N        

I want to calculate the all the timestamps between open date and close date with an interval of each minute.

So the final output I want is like this:

Id  Open Date             Close Date                   TimeStamp Range
1   2019-07-03 16:28:39.497   2019-07-04 16:28:39.497   2019-07-03 16:29:00.0000
1   2019-07-03 16:28:39.497   2019-07-04 16:28:39.497   2019-07-03 16:30:00.0000
1   2019-07-03 16:28:39.497   2019-07-04 16:28:39.497   2019-07-03 16:31:00.0000
1   2019-07-03 16:28:39.497   2019-07-04 16:28:39.497   …..........................
1   2019-07-03 16:28:39.497   2019-07-04 16:28:39.497   2019-07-04 16:27:00.0000
2   2019-07-04 15:28:39.497   2019-07-05 19:28:39.497   2019-07-04 15:29:00.0000
2   2019-07-04 15:28:39.497   2019-07-05 19:28:39.497   2019-07-04 15:30:00.0000
2   2019-07-04 15:28:39.497   2019-07-05 19:28:39.497   2019-07-04 15:31:00.0000
2   2019-07-04 15:28:39.497   2019-07-05 19:28:39.497   ….................................
2   2019-07-04 15:28:39.497   2019-07-05 19:28:39.497   2019-07-05 19:27:00.0000
N   …............................   …...........................    …......................................

Would someone write the SQL query for this?

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Here is one option using an ad-hoc tally/numbers table and a Cross Apply

Example

Declare @YourTable Table ([Id] int,[Open Date] datetime,[Close Date] datetime)  Insert Into @YourTable Values 
 (1,'2019-07-03 16:28:39.497','2019-07-04 16:28:39.497')
,(2,'2019-07-04 15:28:39.497','2019-07-05 19:28:39.497')

Select A.*
      ,TSRange = DateAdd(Minute,N,convert(varchar(16),[Open Date],20))
  From @YourTable A
  Cross Apply (
                Select Top (DateDiff(MINUTE,[Open Date],[Close Date])-1) N=Row_Number() Over (Order By (Select NULL)) 
                  From master..spt_values n1, master..spt_values n2
              )  B

Returns

enter image description here


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