A friend once had a psuedo half-stock Hawken with about a 38 inch long, 54 cal barrel, 1" at the breech tapered to something like 3/4" at the muzzle that handled like a dream.
IMHO, a 1" barrel with such a radical taper looked kinda weird, to my eye, in a relatively short length, but it was well balanced and felt light in the hand. Shot good too.
God bless