I\'m currently using Instagram API media/search endpoint using this following sample configuration:
curl -XGET \'https://api.instagram.com/v1/media/search?
l
I believe that Instagram rounds time constraints to the nearest minute. Rounding down for min and up for max. So the time ranges in your query spans two minutes. So, your query window is actually 120 seconds. You'll have to filter out the extras yourself.
Keep in mind that the media search is going to return a maximum of 20 results. So you may want to split that query up in to two separate queries for each of the 60 second windows it spans. I don't think media search results use pagination to display additional results. So you don't really know how much data you're losing.