My favorite M/96 is a 1900 Oberndorf. The 96s 38s and 94s have rifling of one turn in 200mm. Or about 1 in 8 inches.
The original military ammunition was a 156 grain round nose bullet.
The Swedes later went to a 139 grain spitzer design in the late 1930s.
Remember the Swede Mausers have a very long chamber throat, so they like the bullets loaded long.
For hunting purposes with factory ammo, Norma makes a great 156 grain round nose hunting bullet.
I have also fired some Federal factory ammo loaded with 140 grain Nosler partitions.
For Handloads, All of my Swede rifles like the 160 grain Hornady round nose soft point. Using 46 grains of RL-22 and a Standard Federal or CCI primer they will shoot groups under one inch with no problem.
For some reason my favorite m/96 will not always strip the 160s into the chamber from the magazine, so with that particular rifle I use 47 grains of RL-22 and a 140 grain Sierra or Nosler bullet, for a hunting load.
Beware that some factory ammo uses cases of an incorrect case head diameter. The real 6.5x55mm Swede Mauser case head is slightly larger than a 308/30-06 case head. Some ammo like PMC uses a smaller 308 size head and thus tends to stretch when fired.
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