Hello, Chillin.... H-I (Horrocks Ibbotson), like the nearby Martin Reel Company, is a grand old name in fishing tackle. Many product lines as well as tackle manufactured for merchants. Product lines reflecting the names of New York state waterways near their home base.
Sooner or later, someone will be able to nail that one down. In the meantime, photos, or a description with details of length, colors, fittings, and so on might help. Canoeman may know, but I even wondered at the designation "tournament taper," which, if used in that time period, seems more likely for a casting rod than a fly rod. But it certainly could be a constant across a fly rod series and apparently was used for a "fast" action fly rod.
You can probably sort out a lot more about the rod while learning about its manufacturer using the search function here. Try various combinations with H-I but also search using the full name, Horrocks Ibbotson. It is hard to remember how to spell, and I never did know how to pronounce it, which didn't matter skittering up and down the Mohawk River in a v-hull, jumping barge wakes, and bass fishing in the backwaters and old canalways.
Neat rod to have from a historic manufacturing region.
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