Fantasy and Science Fiction
The Magazine of Fantasy & Science Fiction, founded in 1949, is the award-winning SF magazine which is the original publisher of SF classics like Stephen King's Dark Tower, Daniel Keyes's Flowers for Algernon, and Walter M. Miller's A Canticle for Leibowitz.
This higher tier rejection appears to be backed up by C.C. Finlay's blog post here. Quote from page:
Template 3 is the “didn’t win me over” template. Look, you’re probably a pro. This is a good story. You know it’s good. You’re probably going to sell it elsewhere. Maybe I can tell you the idiosyncratic reasons why it didn’t make me all hot and tingly so that I can’t stop thinking about it day and night, night and day. Maybe I did. But either way, you probably don’t care. It’s a no. You’ve already got your next market lined up and you’re ready to send it out again.
Higher Tier (possibly)
Dear ---, Thank you for giving me a chance to read ---. I liked ---, but overall the story didn't quite win me over and I'm going to pass. I wish you best of luck finding the right market for it. I appreciate your interest in Fantasy & Science Fiction and hope that you'll keep us in mind in the future. Best regards, Charlie -- C.C. Finlay, Editor Fantasy & Science Fiction fandsf.com | @fandsf