Dave, "On the face of it that makes sense but when I think about it I don't honestly see how two bows can be the same design but two different lengths. No matter how you slice it, changing the length changes the design doesn't it? I mean, if bow X is 60 inches long and bow Y is 68 inches long, then the designis different. The handles and limbs are different lengths so design is different."
Yep, there sure could be and that's what bowyers do is try to adjust "working" limb for different draw lengths either with bow lengths, riser lengths, ect....
"I'm wondering how, if a bow design that was for an efficiently designed 50 inch recurve could be magically enlarged in every dimension exactly the same percentage so that it was say 60 inches long, would perform? Which would shoot better?"
Yep, I've done that only the opposite direction, trying to get shorter bows to perform as well as longer. The problem is geometry. The lower the string angle off the tips the more energy a bow stores early in the f/d curve. the lower that angle the less distance the tips move for any given draw length. There is NOTHING we can do to a short bow to change that without crossing over into Turkish type bows to keep the string angle low but the tip movement is still there and excessive.
Some jump on the mass thing. Yes that's important but we have to reduce the mass a lot to see any benefit. By a lot, 100-200 usn't squat, it'd have to be 500-1000 to make a big difference. It's about a 5:1 ratio betwween limb tip weight to arrow weight. The distance/movement thing. KLook how heavy compound limbs are yet they perform and are fairly efficient. Watch one shoot, the limbs only move 1/2" or less while ours moves 5-6". That's a biggy.
Chortdraw, "Everything I built from 62" down to 54" all shot within 3 feet per. sec. of each other."
I'm looking at numbers from big name bows you'd recognize tested at 24, 26,28, and 30", 9gpp at each length. There is almost 25fps difference between the best and worse at 24". The best shoots as fast at 24" as the poor one does at 30". The poor one would have to be at least 10# heavier in draw weight to catch up. Most for sure hover around the middle. To gauge it, a decent bow should shoot about 175 AMO at 24" and 180+ or a bit better at 26".
I personally have a long draw but pay close attention to the needs of short draws since I'm married to one!
I wish she'd quit beating me on the flight range however!
....O.L.