I grew up calling the liturgical season between Pentecost and Advent Kingdomtime. Now, I don't believe that is the "accepted" term. It is also called Ordinarytime, but that sounds a little ordinary. I usually call this time the Sunday's after Pentecost, i.e., next Sunday, June 11 is the Second Sunday after Pentecost, and this goes on into the low twenties. That also the official UMC stance on the season as well.
I'm leaning towards for the purpose of the blog listing this as Pentecost: Monday, June 4, 2006, but I'm not sure.